Lists of publications

• Mathematical Institute

   

• Computer Science Department

   

• Institute for Mathematical Stochastics

   

  Publikationen

  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986

  2024

  • Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph. 2024. ‘Sectional Voronoi tessellations: Characterization and high-dimensional limits.’ Bernoulli 30, Nr. 2: 1482–1501. doi: 10.3150/23-BEJ1641.

  2023

  • Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph. 2023. ‘The $β$-Delaunay tessellation IV: Mixing properties and central limit theorems.’ Stochastics and Dynamics 23, Nr. 3: 2350021. doi: 10.1142/S0219493723500211.
  • Besau, Florian; Gusakova, Anna; Reitzner, Matthias; Schütt, Carsten; Thäle, Christoph; Werner, Elisabeth M. 2023. ‘Spherical convex hull of random points on a wedge.’ Mathematische Annalen 2023. doi: 10.1007/s00208-023-02704-9.
  • Gusakova, Anna; Reitzner, Matthias; Thäle, Christoph. 2023. ‘Variance expansion and Berry-Esseen bound for the number of vertices of a random polygon in a polygon.’ Annales Henri Lebesgue 2023, Nr. 6: 875–906. doi: 10.5802/ahl.180.
  • Gusakova, Anna; Heiny, Johannes; Thäle, Christoph. 2023. ‘The volume of random simplices from elliptical distributions in high dimension.’ Stochastic Processes and their Applications 164: 357–382. doi: 10.1016/j.spa.2023.07.012.

  2022

  • Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph. 2022. ‘The $β$-Delaunay tessellation: Description of the model and geometry of typical cells.’ Advances in Applied Probability 54, Nr. 4: 1254–1290. doi: 10.1017/apr.2022.6.
  • Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph. 2022. ‘The $β$-Delaunay tessellation II: The Gaussian limit tessellation.’ Electronic Journal of Probability 27: 1–33. doi: 10.1214/22-EJP782.
  • Gusakova, Anna; Kabluchko, Zakhar; Thäle, Christoph. 2022. ‘The $β$-Delaunay tessellation III: Kendall's problem and limit theorems in high dimensions.’ Alea 19: 23–50. doi: 10.30757/ALEA.v19-02.
  • Gusakova, Anna; Spodarev, Evgeny; Zaporozhets, Dmirty. 2022. ‘Intrinsic volumes of ellipsoids.’ Zapiski naučnyh seminarov Leningradskogo otdeleniâ ordena Lenina Matematičeskogo instituta im. V.A. Steklova Akademii nauk SSSR 515: 121–140.

  2021

  • Gusakova, Anna; Thäle, Christoph. 2021. ‘The volume of simplices in high-dimensional Poisson-Delaunay tessellations.’ Annales Henri Lebesgue 4: 121–153. doi: 10.5802/ahl.68.
  • Gusakova, Anna; Thäle, Christoph; Sambale, Holger. 2021. ‘Concentration on Poisson spaces via modified $\Phi$-Sobolev inequalities.’ Stochastic Processes and their Applications 140: 216–235. doi: 10.1016/j.spa.2021.06.009.
  • Bonnet, Gilles; Gusakova, Anna; Thäle, Christoph; Zaporozhets, Dmitry. 2021. ‘Sharp inequalities for the mean distance of random points in convex body.’ Advances in Mathematics 386: 107813. doi: 10.1016/j.aim.2021.107813.
  • Gusakova, Anna; Thäle, Christoph. 2021. ‘On random convex chains, orthogonal polynomials, PF sequences and probabilistic limit theorems.’ Mathematika 67, Nr. 2: 434–446. doi: 10.1112/mtk.12081.
  • Alonso-Gutiérrez D, Besau F, Grote J, Kabluchko Z, Reitzner M, Thäle C, Vritsiou B, Werner E. 2021. ‘Asymptotic normality for random simplices and convex bodies in high dimensions.’ Proceedings of the American Mathematical Society 149, Nr. 1: 355–367. doi: 10.1090/proc/15232.
  • Bonnet G, Kabluchko Z, Turchi N. 2021. ‘Phase transition for the volume of high-dimensional random polytopes.’ Random Structures and Algorithms 58, Nr. 4: 648–663. doi: 10.1002/rsa.20986.
  • Kabluchko Z, Prochno J, Thäle C. 2021. ‘A new look at random projections of the cube and general product measures.’ Bernoulli 27, Nr. 3: 2117–2138. doi: 10.3150/20-bej1303.
  • Kabluchko Z. 2021. ‘Recursive Scheme for Angles of Random Simplices, and Applications to Random Polytopes.’ Discrete and Computational Geometry 66, Nr. 3: 902–937. doi: 10.1007/s00454-020-00259-z.
  • Löwe, Matthias; Terveer, Sara. 2021. ‘A Central Limit Theorem for incomplete U-statistics over triangular arrays.’ Brazilian Journal of Probability and Statistics 35, Nr. 3: 499–522. doi: 10.1214/20-BJPS492.

  2020

  • Backhoff-Veraguas J, Beiglböck M, Huesmann M, Källblad S. 2020. ‘Martingale Benamou-Brenier: a probabilistic perspective.’ Ann. Probab. 48, Nr. 5: 2258–2289.
  • Beiglböck M, Cox AMG, Huesmann M. 2020. ‘The geometry of multi-marginal Skorokhod Embedding.’ Probability Theory and Related Fields 176: 1045–1096. doi: 10.1007/s00440-019-00935-z.
  • Götze F, Gusakova A. 2020. ‘On the distribution of Salem numbers.’ Journal of Number Theory 216: 192–215. doi: 10.1016/j.jnt.2020.02.012.
  • Baci, Anastas; Betken, Carina; Gusakova, Anna; Thäle, Christoph. 2020. ‘Concentration inequalities for functionals of Poisson cylinder processes.’ Electronic Journal of Probability 25: 128. doi: 10.1214/20-ejp529.
  • Götze F, Gusakova A, Kabluchko Z, Zaporozhets D. 2020. ‘Distribution of complex algebraic numbers on the unit circle.’ Journal of Mathematical Sciences 251, Nr. 1: 54–66. doi: 10.1007/s10958-020-05064-w.
  • Flasche H, Kabluchko Z. 2020. ‘Real zeroes of random analytic functions associated with geometries of constant curvature.’ Journal of Theoretical Probability 33, Nr. 1: 103–133. doi: 10.1007/s10959-018-0843-z.
  • Kabluchko Z, Prochno J, Vysotsky V. 2020. ‘Yet another note on the arithmetic-geometric mean inequality.’ Studia Mathematica 253, Nr. 1: 39–55. doi: 10.4064/sm181014-16-3.
  • Kabluchko Z, Prochno J, Thäle C. 2020. ‘Sanov-type large deviations in Schatten classes.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 56, Nr. 2: 928–953. doi: 10.1214/19-AIHP989.
  • Kabluchko Z. 2020. ‘Angle sums of random simplices in dimensions 3 and 4.’ Proceedings of the American Mathematical Society 148, Nr. 7: 3079–3086. doi: 10.1090/proc/14934.
  • Kabluchko Z, Zaporozhets D. 2020. ‘Absorption probabilities for Gaussian polytopes and regular spherical simplices.’ Advances in Applied Probability 52, Nr. 2: 588–616. doi: 10.1017/apr.2020.7.
  • Kabluchko Z. 2020. ‘Expected {$f$}-vector of the Poisson zero polytope and random convex hulls in the half-sphere.’ Mathematika 66, Nr. 4: 1028–1053. doi: 10.1112/mtk.12056.
  • Kabluchko Z, Prochno J, Thäle C. 2020. ‘Intersection of unit balls in classical matrix ensembles.’ Israel Journal of Mathematics 239, Nr. 1: 129–172. doi: 10.1007/s11856-020-2052-6.
  • Mukherjee, C; Varadhan, SRS. 2020. ‘Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times.’ Communications on Pure and Applied Mathematics 73, Nr. 2: 350–383. doi: 10.1002/cpa.21858.

  2019

  • Huesmann M, Trevisan D. 2019. ‘A Benamou-Brenier formulation of martingale optimal transport.’ Bernoulli 25, Nr. 4A: 2729–2757. doi: 10.3150/18-BEJ1069.
  • Götze F, Gusakova A, Zaporozhets D. 2019. ‘Random affine simplexes.’ Journal of Applied Probability 56, Nr. 1: 39–51. doi: 10.1017/jpr.2019.4.
  • Kabluchko Z, Vysotsky V, Zaporozhets D. 2019. ‘A multidimensional analogue of the arcsine law for the number of positive terms in a random walk.’ Bernoulli 25, Nr. 1: 521–548. doi: 10.3150/17-bej996.
  • Grote J, Kabluchko Z, Thäle C. 2019. ‘Limit theorems for random simplices in high dimensions.’ ALEA Lat. Am. J. Probab. Math. Stat. 16, Nr. 1: 141–177. doi: 10.30757/alea.v16-06.
  • Kabluchko Z, Temesvari D, Thäle C. 2019. ‘Expected intrinsic volumes and facet numbers of random beta-polytopes.’ Mathematical News / Mathematische Nachrichten 292, Nr. 1: 79–105. doi: 10.1002/mana.201700255.
  • Kabluchko Z, Zaporozhets D. 2019. ‘Expected volumes of Gaussian polytopes, external angles, and multiple order statistics.’ Transactions of the American Mathematical Society 372, Nr. 3: 1709–1733. doi: 10.1090/tran/7708.
  • Ibragimov I, Kabluchko Z, Lifshits M. 2019. ‘Some extensions of linear approximation and prediction problems for stationary processes.’ Stochastic Processes and their Applications 129, Nr. 8: 2758–2782. doi: 10.1016/j.spa.2018.08.001.
  • Kabluchko Z, Löwe M, Schubert K. 2019. ‘Fluctuations of the magnetization for Ising models on dense Erd\Hos-Rényi random graphs.’ Journal of Statistical Physics 177, Nr. 1: 78–94. doi: 10.1007/s10955-019-02358-5.
  • Alsmeyer G, Kabluchko Z, Marynych A. 2019. ‘Limit theorems for the least common multiple of a random set of integers.’ Transactions of the American Mathematical Society 372, Nr. 7: 4585–4603. doi: 10.1090/tran/7871.
  • Kabluchko ZA, Lifshits MA. 2019. ‘Adaptive energy-saving approximation of stationary processes.’ Izvestiya Rossiyskoy akademii nauk Seriya matematicheskaya 83, Nr. 5: 27–52. doi: 10.4213/im8840.
  • Kabluchko Z, Marynych A, Temesvari D, Thäle C. 2019. ‘Cones generated by random points on half-spheres and convex hulls of Poisson point processes.’ Probability Theory and Related Fields 175, Nr. 3-4: 1021–1061. doi: 10.1007/s00440-019-00907-3.
  • Bröker, Y; Comets, F; Cosco; C; Mukherjee, C; Shamov, A; Zeitouni; O. 2019. ‘KPZ equation in d ≥ 3 and construction of Gaussian multiplicative chaos in the Wiener space.’ Contributed to the Large scale stochastic dynamics, Mathematische Forschungsinstitut Oberwolfach (MFO). doi: 10.4171/OWR/2019/42.
  • Bröker, Y; Mukherjee, C. 2019. ‘Localization of the Gaussian multiplicative chaos in the Wiener space and the stochastic heat equation in strong disorder.’ Annals of Applied Probability 29, Nr. 6: 3745–3785. doi: 10.1214/19-AAP1491.
  • Bröker, Y; Mukherjee, C. 2019. ‘Quenched central limit theorem for the stochastic heat equation in weak disorder.’ Probability and Analysis in Interacting Physical Systems 2019.

  2018

  • Huesmann M, Stebegg F. 2018. ‘Monotonicity preserving transformations of MOT and SEP.’ Stochastic Processes and their Applications 128, Nr. 4: 1114–1134. doi: 10.1016/j.spa.2017.07.005.
  • Stolz, Michael. 2018. ‘Fluctuations of Wigner-type random matrices associated with symmetric spaces of class DIII and CI.’ Journal of Physics A: Mathematical and Theoretical. 51, Nr. 075203: 1–24. doi: 10.1088/1751-8121/aaa4d8.
  • Alsmeyer G., Buckmann F. 2018. ‘Fluctuation Theory for Markov Random Walks.’ Journal of Theoretical Probability 31, Nr. 4: 2266–2342. doi: 10.1007/s10959-017-0778-9.
  • Iksanov A, Kabluchko Z. 2018. ‘Functional limit theorems for Galton-Watson processes with very active immigration.’ Stochastic Processes and their Applications 128, Nr. 1: 291–305. doi: 10.1016/j.spa.2017.04.012.
  • Kabluchko Z, Thäle C. 2018. ‘Monotonicity of expected {$f$}-vectors for projections of regular polytopes.’ Proceedings of the American Mathematical Society 146, Nr. 3: 1295–1303. doi: 10.1090/proc/13827.
  • Hug D, Kabluchko Z. 2018. ‘An inclusion-exclusion identity for normal cones of polyhedral sets.’ Mathematika 64, Nr. 1: 124–136. doi: 10.1112/S0025579317000390.
  • Iksanov A, Kabluchko Z. 2018. ‘Weak convergence of the number of vertices at intermediate levels of random recursive trees.’ Journal of Applied Probability 55, Nr. 4: 1131–1142. doi: 10.1017/jpr.2018.75.
  • Kabluchko Z, Zaporozhets D. 2018. ‘Angles of the Gaussian simplex.’ Zapiski naučnyh seminarov Leningradskogo otdeleniâ ordena Lenina Matematičeskogo instituta im. V.A. Steklova Akademii nauk SSSR 476, Nr. Geometriya i Topologiya. 13: 79–91.
  • Berger, N; Mukherjee, C; Okamura, K. 2018. ‘Quenched Large Deviations for Simple Random Walks on Percolation Clusters Including Long-Range Correlations.’ Communications in Mathematical Physics 358: 633–673. doi: 10.1007/s00220-017-3054-z.

  2017

  • Beiglböck M, Cox AMG, Huesmann M, Perkowski N, Prömel DJ. 2017. ‘Pathwise superreplication via Vovk's outer measure.’ Finance and Stochastics 21, Nr. 4: 1141–1166. doi: 10.1007/s00780-017-0338-2.
  • Beiglböck M, Cox AMG, Huesmann M. 2017. ‘Optimal transport and Skorokhod embedding.’ Inventiones Mathematicae 208, Nr. 2: 327–400. doi: 10.1007/s00222-016-0692-2.
  • Bernik V, Gusakova A, Kudin A. 2017. ‘Upper and lower bounds for the number of algebraic points on short intervals.’ Chebyshevskii Sbornik 18, Nr. 4: 115–126. doi: 10.22405/2226-8383-2017-18-4-115-126.
  • Bernik V, Götze F, Gusakova A. 2017 On distribution of points with conjugate algebraic integer coordinates close to planar curves arXiv. doi: 10.48550/arXiv.1704.03542.
  • Bernik V, Götze F, Gusakova A. 2017. ‘On the Distribution of Points with Algebraically Conjugate Coordinates in a Neighborhood of Smooth Curves.’ Journal of Mathematical Sciences 224, Nr. 2: 176–198. doi: 10.1007/s10958-017-3404-6.
  • Götze F, Gusakova A. 2017. ‘On algebraic integers in short intervals and near smooth curves.’ Acta Arithmetica 179, Nr. 3: 251–265. doi: 10.4064/aa8333-2-2017.
  • Dereich S., Döring L., Kyprianou A. 2017. ‘Real self-similar processes started from the origin.’ Annals of Probability 45, Nr. 3: 1952–2003. doi: 10.1214/16-AOP1105.
  • Dereich S., Mailler C., Mörters P. 2017. ‘Nonextensive condensation in reinforced branching processes.’ Annals of Applied Probability 27, Nr. 4: 2539–2568. doi: 10.1214/16-AAP1268.
  • Dereich S., Mönch C., Mörters P. 2017. ‘Distances in scale free networks at criticality.’ Electronic Journal of Probability 22, Nr. null. doi: 10.1214/17-EJP92.
  • Alsmeyer G., Dyszewski P. 2017. ‘Thin tails of fixed points of the nonhomogeneous smoothing transform.’ Stochastic Processes and their Applications 127, Nr. 9: 3014–3041. doi: 10.1016/j.spa.2017.01.008.
  • Alsmeyer G., Buckmann F. 2017. ‘Stability of perpetuities in Markovian environment.’ Journal of Difference Equations and Applications 23, Nr. 4: 699–740. doi: 10.1080/10236198.2016.1271878.
  • Alsmeyer G., Iksanov A., Marynych A. 2017. ‘Functional limit theorems for the number of occupied boxes in the Bernoulli sieve.’ Stochastic Processes and their Applications 127, Nr. 3: 995–1017. doi: 10.1016/j.spa.2016.07.007.
  • Alsmeyer G., Kabluchko Z., Marynych A. 2017. ‘A leader-election procedure using records.’ Annals of Probability 45, Nr. 6: 4348–4388. doi: 10.1214/16-AOP1167.
  • Kabluchko Z, Last G, Zaporozhets D. 2017. ‘Inclusion-exclusion principles for convex hulls and the Euler relation.’ Discrete and Computational Geometry 58, Nr. 2: 417–434. doi: 10.1007/s00454-017-9880-0.
  • Bolthausen, E; König, W; Mukherjee, C. 2017. ‘Mean‐Field Interaction of Brownian Occupation Measures II: A Rigorous Construction of the Pekar Process.’ Communications on Pure and Applied Mathematics 70, Nr. 8: 1598–1629.
  • Mukherjee, C. 2017. ‘Gibbs Measures on Mutually Interacting Brownian Paths under Singularities.’ Communications on Pure and Applied Mathematics 70, Nr. 12: 2366–2404. doi: 10.1002/cpa.21700.
  • König, W; Mukherjee, C. 2017. ‘Mean-field interaction of Brownian occupation measures, I: Uniform tube property of the Coulomb functional.’ Annales de l'Institut Henri Poincaré, Probabilités et Statistiques 53, Nr. 4: 2214–2228. doi: 10.1214/16-AIHP788.

  2016

  • Huesmann M. 2016. ‘Optimal transport between random measures.’ Ann. Inst. Henri Poincaré Probab. Stat. 52, Nr. 1: 196–232.
  • Beiglböck M, Huesmann M, Stebegg F. 2016. ‘Root to Kellerer.’ In Séminaire de Probabilités {XLVIII}, edited by Donati-Martin C., Lejay A., Rouault A., 1–12. Düsseldorf: Springer VDI Verlag.
  • Huesmann M. 2016. ‘Transport cost estimates for random measures in dimension one.’ Electronic Communications in Probability 21: Paper No. 46, 10. doi: 10.1214/16-ECP4590.
  • Gusakova A. 2016. ‘Distribution of special algebraic points in domains of small measure.’ Chebyshevskii Sbornik 17, Nr. 1: 52–70. doi: 10.22405/2226-8383-2016-17-1-52-70.
  • Bernik V, Götze F, Gusakova A. 2016. ‘On points with algebraically conjugate coordinates close to smooth curves.’ Combinatorics and Number Theory 6, Nr. 2-3: 57–100.
  • Gripon V., Heusel J., Löwe M., Vermet F. 2016. ‘A Comparative Study of Sparse Associative Memories.’ Journal of Statistical Physics 164, Nr. 1: 105–129. doi: 10.1007/s10955-016-1530-z.
  • Blath J, Hammer M, Ortgiese M. 2016. ‘The scaling limit of the interface of the continuous-space symbiotic branching model.’ Annals of Probability 44, Nr. 2: 807–866.
  • Ortgiese M, Roberts M I. 2016. ‘Intermittency for branching random walk in Pareto environment .’ Annals of Probability 44, Nr. 3: 2198–2263.
  • Dereich S. 2016. ‘Preferential attachment with fitness: Unfolding the condensate.’ Electronic Journal of Probability 21, Nr. null. doi: 10.1214/16-EJP3801.
  • Dereich S., Li S. 2016. ‘Multilevel monte carlo implementation for SDEs driven by truncated stable processes.’ Contributed to the 11th International Conference on Monte Carlo and Quasi Monte Carlo Methods in Scientific Computing, MCQMC 2014, bel. doi: 10.1007/978-3-319-33507-0_1.
  • Dereich S., Li S. 2016. ‘Multilevel Monte Carlo for Lévy-driven sdes: Central limit theorems for adaptive Euler schemes.’ Annals of Applied Probability 26, Nr. 1: 136–185. doi: 10.1214/14-AAP1087.
  • Alsmeyer G., Marynych A. 2016. ‘Renewal approximation for the absorption time of a decreasing Markov Chain.’ Journal of Applied Probability 53, Nr. 3: 765–782. doi: 10.1017/jpr.2016.39.
  • Alsmeyer G. 2016. ‘On the stationary tail index of iterated random Lipschitz functions.’ Stochastic Processes and their Applications 126, Nr. 1: 209–233. doi: 10.1016/j.spa.2015.08.004.
  • Alsmeyer G., Gröttrup S. 2016. ‘Branching within branching: A model for host-parasite co-evolution.’ Stochastic Processes and their Applications null, Nr. null. doi: 10.1016/j.spa.2015.12.007.
  • Alsmeyer G., Kabluchko Z., Marynych A. 2016. ‘Leader election using random walks.’ Alea 13, Nr. 2: 1095–1122.
  • Kabluchko Z, Stoev S. 2016. ‘Stochastic integral representations and classification of sum- and max-infinitely divisible processes.’ Bernoulli 22, Nr. 1: 107–142. doi: 10.3150/14-BEJ624.
  • Mukherjee, C; Shamov, A; Zeitouni, O. 2016. ‘Weak and strong disorder for the stochastic heat equation and continuous directed polymers in d≥3.’ Electronic Communications in Probability 21: 1–12. doi: 10.1214/16-ECP18.
  • Mukherjee, C; Varadhan, SRS. 2016. ‘Brownian occupation measures, compactness and large deviations.’ Annals of Probability 44, Nr. 6: 3934–3964. doi: 10.1214/15-AOP1065.

  2015

  • Cavalletti F, Huesmann M. 2015. ‘Existence and uniqueness of optimal transport maps.’ Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis 32, Nr. 6: 1367–1377. doi: 10.1016/j.anihpc.2014.09.006.
  • Erbar M, Huesmann M. 2015. ‘Curvature bounds for configuration spaces.’ Calculus of Variations and Partial Differential Equations 54, Nr. 1: 397–430. doi: 10.1007/s00526-014-0790-1.
  • Bernik V, Gusakova A, Ustinov A. 2015. ‘Distribution of algebraic points in domains of small measure and near the surfaces.’ Chebyshevskii Sbornik 16, Nr. 3: 78–94. doi: 10.22405/2226-8383-2015-16-3-78-94.
  • Heusel J., Löwe M., Vermet F. 2015. ‘On the capacity of an associative memory model based on neural cliques.’ Statistics and Probability Letters 106, Nr. null: 256–261. doi: 10.1016/j.spl.2015.07.026.
  • Löwe M., Vermet F. 2015. ‘Capacity of an associative memory model on random graph architectures.’ Bernoulli 21, Nr. 3: 1884–1910. doi: 10.3150/14-BEJ630.
  • Dereich S., Mörters P. 2015. ‘Cycle length distributions in random permutations with diverging cycle weights.’ Random Structures and Algorithms 46, Nr. 4: 635–650. doi: 10.1002/rsa.20520.
  • Dereich S., Müller-Gronbach T. 2015. ‘Quadrature for Self-affine Distributions on (Formula presented.).’ Foundations of Computational Mathematics 15, Nr. 6: 1465–1500. doi: 10.1007/s10208-014-9233-9.
  • Bolthausen, E; König, W; Mukherjee, C; Varadhan, SRS. 2015. ‘On recent developments in compactness and large deviations.’ Contributed to the Interplay of Analysis and Probability in Applied Mathematics, Mathematische Forschungsgemeinschaft Oberwolfach (MFO). doi: 10.4171/OWR/2015/35.

  2014

  • Altmayer M, Dereich S, Li S, Müller-Gronbach T, Neuenkirch A, Ritter K, Yaroslavtseva L. 2014. ‘Constructive quantization and multilevel algorithms for quadrature of stochastic differential equations.’ In Extraction of quantifiable information from complex systems, edited by Dahlke S, Dahmen W, Griebel M, Hackbusch W, Ritter K, Schneider R, Schwab C, Yserentant H, 109. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-319-08159-5__6.
  • Cavalletti F, Huesmann M. 2014. ‘Self-intersection of optimal geodesics.’ Bulletin of the London Mathematical Society 46, Nr. 3: 653–656. doi: 10.1112/blms/bdu026.
  • Döbler C, Stolz M. 2014. ‘A Quantitative Central Limit Theorem for Linear Statistics of Random Matrix Eigenvalues.’ Journal of Theoretical Probability 27: 1–9.
  • Löwe M., Torres F. 2014. ‘On hitting times for a simple random walk on dense Erdös-Rényi random graphs.’ Statistics and Probability Letters 89, Nr. 1: 81–88. doi: 10.1016/j.spl.2014.02.017.
  • Eichelsbacher P., Löwe M. 2014. „90 Jahre Lindeberg-Methode.“ Mathematische Semesterberichte 61, Nr. 1: 7–34. doi: 10.1007/s00591-013-0118-9.
  • Friesen O, Löwe M. 2014. ‘On the spectral density of large sample covariance matrices with Markov dependent columns.’ Markov processes and related fields 20, Nr. 2: 349–374.
  • Blath J, Kadow S, Ortgiese M. 2014. ‘The largest strongly connected component in the cyclical pedigree model of Wakeley et al.’ Theoretical Population Biology 98: 28–37. doi: 10.1016/j.tpb.2014.10.001.
  • Alsmeyer G. 2014. ‘Quasistochastic matrices and Markov renewal theory.’ Journal of Applied Probability null, Nr. null: 359–376. doi: 10.1239/jap/1417528486.
  • Dereich S, Ortgiese M. 2014. ‘ Robust analysis of preferential attachment models with fitness.’ Combinatorics, Probability and Computing 23, Nr. 3: 386–411. doi: 10.1017/S0963548314000157.
  • Aurzada F, Dereich S, Lifshits M.A. 2014. ‘Persistence probabilities for a bridge of an integrated simple random walk.’ Probability and Mathematical Statistics 34, Nr. 1: 1.

  2013

  • Huesmann M, Sturm K. 2013. ‘Optimal transport from Lebesgue to Poisson.’ Ann. Probab. 41, Nr. 4: 2426–2478. doi: 10.1214/12-AOP814.
  • Stolz M. 2013. ‘Stein's method and central limit theorems for Haar distributed orthogonal matrices: some recent developments.’ In Random matrices and iterated random functions, edited by Alsmeyer, G., Löwe, M., 73–88. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-642-38806-4_4.
  • Ludwig AWW, Schulz-Baldes H, Stolz M. 2013. ‘Lyapunov spectra for all ten symmetry classes of quasi-one-dimensional disordered systems of non-interacting fermions.’ Journal of Statistical Physics 152, Nr. 2: 275–304. doi: 10.1007/s10955-013-0764-2.
  • Friesen O., Lowe M. 2013. ‘The semicircle law for matrices with dependent entries.’ Contributed to the Limit Theormems in Probability, Bielefeld, Deutschland. doi: 10.1007/978-3-642-36068-8_13.
  • Gerold A., Lowe M. 2013. ‘Random Matrices and Iterated Random Functions.’ Contributed to the Workshop "Random Matrices and Iterated Random Functions", Munster, deu. doi: 10.1007/978-3-642-38806-4.
  • Löwe M., Meiners R., Torres F. 2013. ‘Large deviations principle for Curie-Weiss models with random fields.’ Journal of Physics A: Mathematical and Theoretical 46, Nr. 12. doi: 10.1088/1751-8113/46/12/125004.
  • Lowe M. 2013. ‘How to read a randomly mixed up message.’ Contributed to the Information Theory, Bielefeld. doi: 10.1007/978-3-642-36899-8-13.
  • Friesen O., Lowe M. 2013. ‘A phase transition for the limiting spectral density of random matrices.’ Electronic Journal of Probability 18, Nr. null. doi: 10.1214/EJP.v18-2118.
  • Friesen O, Löwe M, Stolz M. 2013. ‘Gaussian fluctuations for sample covariance matrices with dependent data.’ Journal of Multivariate Analysis 114: 270–287. doi: 10.1016/j.jmva.2012.08.004.
  • Friesen O., Löwe M. 2013. ‘The Semicircle Law for Matrices with Independent Diagonals.’ Journal of Theoretical Probability 26, Nr. 4: 1084–1096. doi: 10.1007/s10959-011-0383-2.
  • Alberts T, Ortgiese M. 2013. ‘The near-critical scaling window for directed polymers on disordered trees.’ Electronic Journal of Probability 18: no. 19, 24. doi: 10.1214/EJP.v18-2036.
  • Alsmeyer G., Grottrup S. 2013. ‘A host-parasite model for a two-type cell population.’ Advances in Applied Probability 45, Nr. 3: 719–741. doi: 10.1239/aap/1377868536.
  • Morters P., Dereich S. 2013. ‘Random networks with sublinear preferentia attachment: The giant component.’ Annals of Probability 41, Nr. 1: 329–384. doi: 10.1214/11-AOP697.
  • Dereich S., Morters P. 2013. ‘Emergence of condensation in Kingman's model of selection and mutation.’ Acta Applicandae Mathematicae 127, Nr. 1: 17–26. doi: 10.1007/s10440-012-9790-3.
  • Dereich S., Scheutzow M., Schottstedt R. 2013. ‘Constructive quantization: Approximation by empirical measures.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 49, Nr. 4: 1183–1203. doi: 10.1214/12-AIHP489.
  • Alsmeyer, G, Löwe, M (Eds.): 2013. Random Matrices and Iterated Random Functions.
  • Alsmeyer G. 2013. ‘The Smoothing Transform: A Review of Contraction Results.’ Contributed to the Workshop "Random Matrices and Iterated Random Functions", Münster, Deutschland. doi: 10.1007/978-3-642-38806-4_9.
  • Alsmeyer G., Damek E., Mentemeier S. 2013. ‘Precise Tail Index of Fixed Points of the Two-Sided Smoothing Transform.’ Contributed to the Workshop "Random Matrices and Iterated Random Functions", Münster, Deutschland. doi: 10.1007/978-3-642-38806-4_10.
  • Alsmeyer G., Iksanov A., Meiners M. 2013. ‘Power and Exponential Moments of the Number of Visits and Related Quantities for Perturbed Random Walks.’ Journal of Theoretical Probability 28, Nr. 1: 1–40. doi: 10.1007/s10959-012-0475-7.
  • Alsmeyer G., Meiners M. 2013. ‘Fixed points of the smoothing transform: Two-sided solutions.’ Probability Theory and Related Fields 155, Nr. null: 165–199. doi: 10.1007/s00440-011-0395-y.
  • König, W; Mukherjee, C. 2013. ‘Large deviations for Brownian intersection measures.’ Communications on Pure and Applied Mathematics 66, Nr. 2: 263–306. doi: 10.1002/cpa.21407.

  2012

  • Alsmeyer G, Mentemeier S. 2012. ‘Tail behaviour of stationary solutions of random difference equations: The case of regular matrices.’ Journal of Difference Equations and Applications 18, Nr. 8: 1305–1332. doi: 10.1080/10236198.2011.571383.
  • Dereich S, Dimitroff G. 2012. ‘A support theorem and a large deviation principle for kunita flows.’ Stochastics and Dynamics 12, Nr. 3. doi: 10.1142/S0219493711500225.
  • Dereich S, Neuenkirch A, Szpruch L. 2012. ‘An Euler-type method for the strong approximation of the Cox-Ingersoll-Ross process.’ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, Nr. 2140: 1105–1115. doi: 10.1098/rspa.2011.0505.
  • Dereich S, Müller-Gronbach T, Ritter K. 2012. ‘On the complexity of computing quadrature formulas for SDEs.’ In Foundations of Computational Mathematics, Budapest 2011, edited by Cucker F, Krick T, Pinkus A, Szanto A, 72–92. Cambridge: Cambridge University Press.
  • Lowe M., Meiners R. 2012. ‘Moderate Deviations for Random Field Curie-Weiss Models.’ Journal of Statistical Physics 149, Nr. 4: 701–721. doi: 10.1007/s10955-012-0611-x.
  • Alsmeyer G., Biggins J.D., Meiners M. 2012. ‘The functional equation of the smoothing transform.’ Annals of Probability 40, Nr. 5: 2069–2105. doi: 10.1214/11-AOP670.
  • Alsmeyer G., Winkler A. 2012. ‘Metabasins - A state space aggregation for highly disordered energy landscapes.’ Theory of Stochastic Processes 18, Nr. 1: 3–44.
  • Alsmeyer G., Meiners M. 2012. ‘Fixed points of inhomogeneous smoothing transforms.’ Journal of Difference Equations and Applications 18, Nr. 8: 1287–1304. doi: 10.1080/10236198.2011.589514.
  • Dereich S, Mönch C, Mörters P. 2012. ‘Typical distances in ultrasmall random networks.’ Annals of Applied Probability 44, Nr. 2: 583–601. doi: 10.1239/aap/1339878725.

  2011

  • Dereich S, Vormoor C. 2011. ‘The High Resolution Vector Quantization Problem with Orlicz Norm Distortion.’ Journal of Theoretical Probability 24, Nr. 2: 517–544. doi: 10.1007/s10959-010-0327-2.
  • Dereich S. 2011. ‘Multilevel Monte Carlo algorithms for Lévy-driven SDES with Gaussian correction.’ Annals of Applied Probability 21, Nr. 1: 283–311. doi: 10.1214/10-AAP695.
  • Dereich S, Heidenreich F. 2011. ‘A multilevel Monte Carlo algorithm for Lévy-driven stochastic differential equations.’ Stochastic Processes and their Applications 121, Nr. 7: 1565–1587. doi: 10.1016/j.spa.2011.03.015.
  • Eichelsbacher P, Sommerauer J, Stolz M. 2011. ‘Large deviations for disordered bosons and multiple orthogonal polynomial ensembles.’ Journal of Mathematical Physics 52, Nr. 7: 073510, 16. doi: 10.1063/1.3603994.
  • Döbler C, Stolz M. 2011. ‘Stein's method and the multivariate {CLT} for traces of powers on the classical compact groups.’ Electronic Journal of Probability 16: no. 86, 2375–2405. doi: 10.1214/EJP.v16-960.
  • Löwe M, Vermet F. 2011. ‘The Hopfield model on a sparse Erd{\H o}s-Renyi graph.’ Journal of Statistical Physics 143, Nr. 1: 205–214. doi: 10.1007/s10955-011-0167-1.
  • Ameskamp J, Löwe M. 2011. ‘Moderate deviations for the size of the largest component in a super-critical Erdös-Rényi graph.’ Markov processes and related fields 17, Nr. 3: 369–390.
  • Aurzada F, Döring H, Ortgiese M, Scheutzow M. 2011. ‘Moments of recurrence times for Markov chains.’ Electronic Communications in Probability 16: 296–303. doi: 10.1214/ECP.v16-1632.
  • Mörters P, Ortgiese M, Sidorova N. 2011. ‘Ageing in the parabolic Anderson model.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 47, Nr. 4: 969–1000. doi: 10.1214/10-AIHP394.
  • Surulescu Christina, Surulescu Nicolae. 2011. ‘Modeling and simulation of bacterial motion via a nonparametric method.’ J. of Math. Biosciences and Engineeering 8, Nr. 2: 263–278.
  • Alsmeyer G, Gutierrez C, Martinez R. 2011. ‘Limiting genotype frequencies of Y-linked genes through bisexual branching processes with blind choice.’ Journal of Theoretical Biology 275, Nr. 1: 42–51. doi: 10.1016/j.jtbi.2011.01.024.
  • Dereich S, Mörters P. 2011. ‘Random Networks with Concave Preferential Attachment Rule.’ Jahresbericht der deutschen Mathematiker-Vereinigung 113, Nr. 1: 21–40. doi: 10.1365/s13291-010-0011-6.

  2010

  • Dereich S. 2010. ‘Rough paths analysis of general Banach space-valued Wiener processes.’ Journal of Functional Analysis 258, Nr. 9: 2910–2936. doi: 10.1016/j.jfa.2010.01.018.
  • Cont R, Löwe M. 2010. ‘Social distance, heterogeneity and social interactions.’ Journal of Mathematical Economics 46, Nr. 4: 572–590. doi: 10.1016/j.jmateco.2010.03.009.
  • Eichelsbacher P, Löwe M. 2010. ‘Stein's method for dependent random variables occurring in statistical mechanics.’ Electronic Journal of Probability 15: no. 30, 962––988.
  • Surulescu Christina, Surulescu Nicolae. 2010. ‘A Nonparametric Approach to Cells Dispersal.’ Int. J. of Biomathematics and Biostatistics 1: 109–128.
  • Surulescu N. 2010. On Some Classes of Continuous Time Series Models and Their Use in Financial Economics Dissertationsschrift, University of Heidelberg. Heidelberg.
  • Gantert N, Müller S, Popov S, Vachkovskaia M. 2010. ‘Survival of branching random walks in random environment.’ Journal of Theoretical Probability 23, Nr. 4: 1002–1014. doi: 10.1007/s10959-009-0227-5.
  • Gantert N, Peres Y, Shi Z. 2010. ‘The infinite valley for a recurrent random walk in random environment.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 46, Nr. 2: 525–536. doi: 10.1214/09-AIHP205.
  • Fribergh A, Gantert N, Popov S. 2010. ‘On slowdown and speedup of transient random walks in random environment.’ Probability Theory and Related Fields 147, Nr. 1-2: 43–88. doi: 10.1007/s00440-009-0201-2.
  • Roumelioti ME, Wentz A, Schneider MF, Gerson AC, Hooper S, Benfield M, Warady BA, Furth SL, Unruh ML. 2010. ‘Sleep and fatigue symptoms in children and adolescents with CKD: a cross-sectional analysis from the chronic kidney disease in children (CKiD) study.’ American Journal of Kidney Diseases 55, Nr. 2: 269–280.
  • Fribergh A, Gantert N, Popov S. 2010. ‘Speedup and slowdown for transient random walks in random environment.’ Probability Theory and Related Fields 147: 43–88.

  2009

  • Aurzada F, Dereich S. 2009. ‘The coding complexity of Lévy processes.’ Foundations of Computational Mathematics 9, Nr. 3: 359–390. doi: 10.1007/s10208-008-9035-z.
  • Aurzada F, Dereich S. 2009. ‘Small deviations of general Lévy processes.’ Annals of Probability 37, Nr. 5: 2066–2092. doi: 10.1214/09-AOP457.
  • Dereich S, Mörters P. 2009. ‘Random networks with sublinear preferential attachment: Degree evolutions.’ Electronic Journal of Probability 14: 1222–1267.
  • Creutzig J, Dereich S, Müller-Gronbach T, Ritter K. 2009. ‘Infinite-dimensional quadrature and approximation of distributions.’ Foundations of Computational Mathematics 9, Nr. 4: 391–429. doi: 10.1007/s10208-008-9029-x.
  • Aurzada F, Dereich S, Scheutzow M, Vormoor C. 2009. ‘High resolution quantization and entropy coding of jump processes.’ Journal of Complexity 25, Nr. 2: 163–187. doi: 10.1016/j.jco.2008.10.002.
  • Breuillard E, Friz P, Huesmann M. 2009. ‘From random walks to rough paths.’ Proceedings of the American Mathematical Society 137, Nr. 10: 3487–3496. doi: 10.1090/S0002-9939-09-09930-4.
  • Knöpfel H, Löwe M. 2009. ‘Zur Meinungsbildung in einer heterogenen Bevölkerung---ein neuer Zugang zum Hopfield Modell.’ Mathematische Semesterberichte 56, Nr. 1: 15–38. doi: 10.1007/s00591-008-0049-z.
  • Löwe M, Vermet F. 2009. ‘The swapping algorithm for the Hopfield model with two patterns.’ Stochastic Processes and their Applications 119, Nr. 10: 3471–3493. doi: 10.1016/j.spa.2009.06.007.
  • Löwe M, Vermet F. 2009. ‘Capacity bounds for the {CDMA} system and a neural network: a moderate deviations approach.’ ESAIM: Probability and Statistics 13: 343–362. doi: 10.1051/ps:2008016.
  • Alsmeyer G, Meiners M. 2009. ‘A min-type stochastic fixed-point equation related to the smoothing transformation.’ Theory of Stochastic Processes 15, Nr. 2: 19–41.
  • Alsmeyer G, Iksanov A, Polotskiy S, Rösler U. 2009. ‘Exponential rate of {$L_p$}-convergence of intrinsic martingales in supercritical branching random walks.’ Theory of Stochastic Processes 15, Nr. 2: 1–18.
  • Kabluchko Z, Munk A. 2009. ‘Shao's theorem on the maximum of standardized random walk increments for multidimensional arrays.’ ESAIM: Probability and Statistics 13: 409–416. doi: 10.1051/ps:2008020.
  • Bartsch C, Gantert N, Kochler M. 2009. ‘Survival and growth of a branching random walk in random environment.’ Markov processes and related fields 15, Nr. 4: 525–548.
  • Ebbers M, Löwe M. 2009. ‘Torpid mixing of the swapping chain on some simple spin glass models.’ Markov processes and related fields 15, Nr. 1: 59–80.
  • Gantert N, Müller CH. 2009. ‘Preface.’ Metrika 69, Nr. 2-3: 81–84. doi: 10.1007/s00184-008-0208-1.
  • Gantert N, Schmidt P. 2009. ‘Recurrence for the frog model with drift on Z.’ Markov processes and related fields 15, Nr. 1: 51–58.
  • Gantert N, Popov S, Vachkovskaia M. 2009. ‘Survival time of random walk in random environment among soft obstacles.’ Electronic Journal of Probability 14: no. 22, 569––593.
  • Kanyshkova T, Pawlowski M, Meuth P, Dubé C, Bender RA, Brewster AL, Baumann A, Baram TZ, Pape HC, Budde T. 2009. ‘Postnatal expression pattern of HCN channel isoforms in thalamic neurons: relationship to maturation of thalamocortical oscillations.’ Journal of Neuroscience 29, Nr. 27: 8847–8857. doi: 10.1523/JNEUROSCI.0689-09.2009.
  • Coulon P, Herr D, Kanyshkova T, Meuth P, Budde T, Pape HC. 2009. ‘Burst discharges in neurons of the thalamic reticular nucleus are shaped by calcium-induced calcium release.’ Cell Calcium 46, Nr. 5-6: 333–346. doi: 10.1016/j.ceca.2009.09.005.
  • Pawlowski M, Kanyshkova T, Meuth P, Dube C, Bender RA, Brewster AL, Baumann A, Baram TZ, Pape HC, Budde T. 2009. ‘POSTNATAL EXPRESSION PATTERN OF HCN CHANNEL ISOFORMS IN THALAMIC NEURONS: RELATIONSHIP TO MATURATION OF THALAMOCORTICAL OSCILLATIONS.’ Epilepsia 50 Suppl. : 342–342.
  • Lerner T, Bullmann V, Schulte TL, Schneider M, Liljenqvist U. 2009. ‘A level-1 pilot study to evaluate of ultraporous beta-tricalcium phosphate as a graft extender in the posterior correction of adolescent idiopathic scoliosis.’ European Spine Journal 18, Nr. 2: 170–179. doi: 10.1007/s00586-008-0844-1.
  • Gantert N, Popov S, Vachkovskaia M. 2009. ‘Survival time of random walks in random environments among soft obstacles.’ Electronic Journal of Probability 14: 569–593.
  • Alsmeyer G, Iksanov A, Rosler U. 2009. ‘On Distributional Properties of Perpetuities.’ Journal of Theoretical Probability 22, Nr. 3: 666–682. doi: 10.1007/s10959-008-0156-8.
  • Alsmeyer G, Iksanov A. 2009. ‘A Log-Type Moment Result for Perpetuities and Its Application to Martingales in Supercritical Branching Random Walks.’ Electronic Journal of Probability 14: 289–312.

  2008

  • Dereich S. 2008. ‘The coding complexity of diffusion processes under supremum norm distortion.’ Stochastic Processes and their Applications 118, Nr. 6: 917–937. doi: 10.1016/j.spa.2007.07.003.
  • Dereich S. 2008. ‘The coding complexity of diffusion processes under L^p[0, 1]-norm distortion.’ Stochastic Processes and their Applications 118, Nr. 6: 938–951. doi: 10.1016/j.spa.2007.07.002.
  • Stolz M, Tate T. 2008. ‘Asymptotics of matrix integrals and tensor invariants of compact Lie groups.’ Proceedings of the American Mathematical Society 136, Nr. 6: 2235–2244. doi: 10.1090/S0002-9939-08-09039-4.
  • Eichelsbacher P, Stolz M. 2008. ‘Large deviations for random matrix ensembles in mesoscopic physics.’ Markov processes and related fields 14, Nr. 2: 207–232.
  • Hofmann-Credner K, Stolz M. 2008. ‘Wigner theorems for random matrices with dependent entries: ensembles associated to symmetric spaces and sample covariance matrices.’ Electronic Communications in Probability 13: 401–414. doi: 10.1214/ECP.v13-1395.
  • Collins B, Stolz M. 2008. ‘Borel theorems for random matrices from the classical compact symmetric spaces.’ Annals of Probability 36, Nr. 3: 876–895. doi: 10.1214/07-AOP341.
  • Mörters P, Ortgiese M. 2008. ‘Small value probabilities via the branching tree heuristic.’ Bernoulli 14, Nr. 1: 277–299. doi: 10.3150/07-BEJ107.
  • Mörters P, Ortgiese M. 2008. ‘Minimal supporting subtrees for the free energy of polymers on disordered trees.’ Journal of Mathematical Physics 49, Nr. 12: 125203, 21. doi: 10.1063/1.2962981.
  • Alsmeyer G, Meiners M. 2008. ‘A note on the transience of critical branching random walks on the line.’ In Fifth Colloquium on Mathematics and Computer Science, 421–435. N/A: Selbstverlag / Eigenverlag.
  • Alsmeyer G, Rösler U. 2008. ‘A stochastic fixed point equation for weighted minima and maxima.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 44, Nr. 1: 89–103. doi: 10.1214/07-AIHP104.
  • Broicher T, Kanyshkova T, Meuth P, Pape HC, Budde T. 2008. ‘Correlation of T-channel coding gene expression, IT, and the low threshold Ca2+ spike in the thalamus of a rat model of absence epilepsy.’ Molecular and Cellular Neuroscience 39, Nr. 3: 384–399. doi: 10.1016/j.mcn.2008.07.012.
  • Budde T, Coulon P, Pawlowski M, Meuth P, Kanyshkova T, Japes A, Meuth SG, Pape HC. 2008. ‘Reciprocal modulation of I (h) and I (TASK) in thalamocortical relay neurons by halothane.’ Pflügers Archiv European Journal of Physiology 456, Nr. 6: 1061–1073. doi: 10.1007/s00424-008-0482-9.
  • Schneider MF, Guttenberg Z, Schneider SW, Sritharan K, Myles VM, Pamukci U, Wixforth A. 2008. ‘An acoustically driven microliter flow chamber on a chip (muFCC) for cell-cell and cell-surface interaction studies.’ ChemPhysChem 9, Nr. 4: 641–645.
  • Steppich DM, Angerer JI, Sritharan K, Schneider SW, Thalhammer S, Wixforth A, Alexander-Katz A, Schneider MF. 2008. ‘Relaxation of ultralarge VWF bundles in a microfluidic-AFM hybrid reactor.’ Biochemical and Biophysical Research Communications 369, Nr. 2: 507–512.

  2007

  • Ankirchner S, Dereich S, Imkeller P. 2007. ‘Enlargement of filtrations and continuous Girsanov-type embeddings.’ Lecture Notes in Mathematics 1899: 389–410. doi: 10.1007/978-3-540-71189-6_21.
  • Löwe M, Vermet F. 2007. ‘The capacity of {$q$}-state Potts neural networks with parallel retrieval dynamics.’ Statistics and Probability Letters 77, Nr. 14: 1505–1514. doi: 10.1016/j.spl.2007.03.030.
  • Alink S, Löwe M, Wüthrich MV. 2007. ‘Diversification for general copula dependence.’ Statistica Neerlandica 61, Nr. 4: 446–465. doi: 10.1111/j.1467-9574.2007.00370.x.
  • Knöpfel H, Löwe M. 2007. ‘A note on the annealed free energy of the {$p$}-spin Hopfield model.’ Markov processes and related fields 13, Nr. 3: 565–574.
  • Alsmeyer G, Meiners M. 2007. ‘A stochastic maximin fixed-point equation related to game tree evaluation.’ Journal of Applied Probability 44, Nr. 3: 586–606. doi: 10.1239/jap/1189717531.
  • Denker M, Kabluchko Z. 2007. ‘An Erdös-Rényi law for mixing processes.’ Probability and Mathematical Statistics 27, Nr. 1: 139–149.
  • Dembo A, Gantert N, Peres Y, Shi Z. 2007. ‘Valleys and the maximum local time for random walk in random environment.’ Probability Theory and Related Fields 137, Nr. 3-4: 443–473. doi: 10.1007/s00440-006-0005-6.
  • Dembo A, Gantert N, Peres Y, Shi Z. 2007. ‘Valleys and the maximal local time for random walk in random environment.’ Probability Theory and Related Fields 137: 443–473.
  • Gantert N, König W, Shi Z. 2007. ‘Annealed deviations of random walk in random scenery.’ Ann. Inst. H. Poincaré Probab. Statist. 43: 47–76.

  2006

  • Alsmeyer G, Rosler U. 2006. ‘The Martin entrance boundary of the Galton-Watson process.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 42, Nr. 5: 591–606. doi: 10.1016/j.anihpb.2005.05.003.
  • Ankirchner S, Dereich S, Imkeller P. 2006. ‘The Shannon information of filtrations and the additional logarithmic utility of insiders.’ Annals of Probability 34, Nr. 2: 743–778. doi: 10.1214/009117905000000648.
  • Dereich S, Scheutzow M. 2006. ‘High-resolution quantization and entropy coding for fractional Brownian motion.’ Electronic Journal of Probability 11: 700–722.
  • van der Hofstad R, Löwe M, Vermet F. 2006. ‘The effect of system load on the existence of bit errors in {CDMA} with and without parallel interference cancelation.’ IEEE Transactions on Information Theory 52, Nr. 10: 4733–4741. doi: 10.1109/TIT.2006.881697.
  • Alsmeyer G, Irle A. 2006. ‘Runs in superpositions of renewal processes with applications to discrimination.’ Journal of Computational and Applied Mathematics 186, Nr. 1: 283–299. doi: 10.1016/j.cam.2005.02.017.
  • Surulescu Christina, Surulescu Nicolae. 2006. ‘A note on an individual bioequivalence setting.’ JIPAM. J. Inequal. Pure Appl. Math. 3: 8.
  • Gantert N, Müller S. 2006. ‘The critical branching Markov chain is transient.’ Markov processes and related fields 12, Nr. 4: 805–814.
  • Gantert N, van der Hofstad R, König W. 2006. ‘Deviations of a random walk in a random scenery with stretched exponential tails.’ Stochastic Processes and their Applications 116, Nr. 3: 480–492. doi: 10.1016/j.spa.2005.10.006.
  • Alsmeyer G, Rosler U. 2006. ‘A stochastic fixed point equation related to weighted branching with deterministic weights.’ Electronic Journal of Probability 11: 27–56.

  2005

  • Alsmeyer G, Slavtchova-Bojkova M. 2005. ‘Limit theorems for subcritical age-dependent branching processes with two types of immigration.’ Stochastic Models 21, Nr. 1: 133–147. doi: 10.1081/STM-200046495.
  • Dereich S, Lifshits MA. 2005. ‘Probabilities of randomly centered small balls and quantization in banach spaces.’ Annals of Probability 33, Nr. 4: 1397–1421. doi: 10.1214/009117905000000161.
  • Dereich S. 2005. ‘Asymptotic behavior of the distortion-rate function for Gaussian processes in Banach spaces.’ Bulletin des Sciences Mathématiques 129, Nr. 10: 791–803. doi: 10.1016/j.bulsci.2005.04.001.
  • Stolz M. 2005. ‘On the Diaconis-Shahshahani method in random matrix theory.’ Journal of Algebraic Combinatorics 22, Nr. 4: 471–491. doi: 10.1007/s10801-005-4629-x.
  • Löwe M, Vermet F. 2005. ‘The storage capacity of the Hopfield model and moderate deviations.’ Statistics and Probability Letters 75, Nr. 4: 237–248. doi: 10.1016/j.spl.2005.06.001.
  • Alink S, Löwe M, Wüthrich MV. 2005. ‘Analysis of the expected shortfall of aggregate dependent risks.’ ASTIN Bulletin 35, Nr. 1: 25–43. doi: 10.2143/AST.35.1.583164.
  • Knöpfel H, Löwe M. 2005. ‘Fluctuations in a {$p$}-spin interaction model.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 41, Nr. 4: 807–815. doi: 10.1016/j.anihpb.2004.05.006.
  • Gantert N, Löwe M, Steif JE. 2005. ‘The voter model with anti-voter bonds.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 41, Nr. 4: 767–780. doi: 10.1016/j.anihpb.2004.03.007.
  • Löwe M, Vermet F. 2005. ‘The storage capacity of the Blume-Emery-Griffiths neural network.’ Journal of Physics A: Mathematical and General 38, Nr. 16: 3483–3503. doi: 10.1088/0305-4470/38/16/002.
  • Knöpfel H, Löwe M. 2005. ‘Fluctuations in p-spin interaction models.’ Ann. Inst. H. Poincaré 41, Nr. 4: 807–815. doi: 10.1016/j.anihpb.2004.05.006.
  • Alsmeyer G, Rösler U. 2005. ‘Maximal {$ϕ$}-inequalities for nonnegative submartingales.’ Teoriya Veroyatnostei i ee Primeneniya 50, Nr. 1: 162–172. doi: 10.1137/S0040585X97981548.
  • Alsmeyer G, Jaeger M. 2005. ‘A useful extension of Itô's formula with applications to optimal stopping.’ Acta Mathematica Sinica, English Series 21, Nr. 4: 779–786. doi: 10.1007/s10114-004-0524-y.
  • Gantert N, Löwe M, Steif J. 2005. ‘The voter model with antivoter bonds.’ Ann. Inst. H. Poincaré Probab. Statist. 41, Nr. 4: 767–780.

  2004

  • Eichelsbacher P, Löwe M. 2004. ‘Moderate deviations for the overlap parameter in the Hopfield model.’ Probability Theory and Related Fields 130, Nr. 4: 441–472. doi: 10.1007/s00440-004-0349-8.
  • Baake M, Löwe M. 2004. ‘Comment on: ``Curious properties of simple random walks'' [J. Statist. Phys. 3 (1993), no. 1-2, 441--445; MR1247871] by S. I. Ben-Abraham.’ Journal of Statistical Physics 116, Nr. 5-6: 1449–1451. doi: 10.1023/B:JOSS.0000041746.43933.73.
  • Eichelsbacher P, Löwe M. 2004. ‘Moderate deviations for a class of mean-field models.’ Markov processes and related fields 10, Nr. 2: 345–366.
  • Löwe M, Matzinger H, Merkl F. 2004. ‘Reconstructing a multicolor random scenery seen along a random walk path with bounded jumps.’ Electronic Journal of Probability 9: no. 15, 436––507 (electronic).
  • Alink S, Löwe M, Wüthrich MV. 2004. ‘Diversification of aggregate dependent risks.’ Insurance: Mathematics and Economics 35, Nr. 1: 77–95. doi: 10.1016/j.insmatheco.2004.05.001.
  • Eichelsbacher P, Löwe M. 2004. ‘Fluctuations for the overlap parameter in the Hopfield model.’ Prob. Theory Rel. Fields 130: 441–472.
  • Löwe M, Matzinger H, Merkl F. 2004. ‘Reconstruction of a one-dimensional Scenery by observing it along a Random Walk Path with Jumps.’ Electr. Journal Prob. 9: 436–507.
  • Alsmeyer G, Rösler U. 2004. ‘On the existence of {$ϕ$}-moments of the limit of a normalized supercritical Galton-Watson process.’ Journal of Theoretical Probability 17, Nr. 4: 905–928. doi: 10.1007/s10959-004-0582-1.
  • Alsmeyer G, Hoefs V. 2004. ‘Markov renewal theory for stationary {$(m+1)$}-block factors: first passage time and overshoot.’ Communications in Statistics: Theory and Methods 33, Nr. 3: 545–568. doi: 10.1081/STA-120028684.
  • Kabluchko ZA, Proskurin DP, Samo\u{ı}lenko YS. 2004. ‘On {$C^*$}-algebras generated by deformations of classical commutation relations.’ Ukrainskij matematičeskij žurnal 56, Nr. 11: 1527–1538. doi: 10.1007/s11253-005-0153-3.
  • Irle A, Paulsen V. 2004. ‘Solving problems of optimal stopping with linear costs of observations.’ Sequential Analysis 23, Nr. 3: 297–316. doi: 10.1081/SQA-200027048.
  • Dembo A, Gantert N, Zeitouni O. 2004. ‘Large deviations for random walk in random environment with holding times.’ Annals of Probability 32, Nr. 1B: 996–1029. doi: 10.1214/aop/1079021470.

  2003

  • Dereich S. 2003. ‘Small Ball Probabilities around Random Centers of Gaussian Measures and Applications to Quantization.’ Journal of Theoretical Probability 16, Nr. 2: 427–449. doi: 10.1023/A:1023578812641.
  • Dereich S, Fehringer F, Matoussi A, Scheutzow M. 2003. ‘On the Link between Small Ball Probabilities and the Quantization Problem for Gaussian Measures on Banach Spaces.’ Journal of Theoretical Probability 16, Nr. 1: 249–265. doi: 10.1023/A:1022242924198.
  • Löwe M, Matzinger III H. 2003. ‘Reconstruction of sceneries with correlated colors.’ Stochastic Processes and their Applications 105, Nr. 2: 175–210. doi: 10.1016/S0304-4149(03)00003-6.
  • Eichelsbacher P, Löwe M. 2003. ‘Moderate deviations for i.i.d.\ random variables.’ ESAIM: Probability and Statistics 7: 209–218. doi: 10.1051/ps:2003005.
  • Alsmeyer G. 2003. ‘On the existence of moments of stopped sums in Markov renewal theory.’ Probability and Mathematical Statistics 23, Nr. 2, Acta Univ. Wratislav. No. 2593: 389–411.
  • Alsmeyer G, Rösler U. 2003. ‘The best constant in the Topchii-Vatutin inequality for martingales.’ Statistics and Probability Letters 65, Nr. 3: 199–206. doi: 10.1016/j.spl.2003.06.002.
  • Alsmeyer G. 2003. ‘On the Harris recurrence of iterated random Lipschitz functions and related convergence rate results.’ Journal of Theoretical Probability 16, Nr. 1: 217–247. doi: 10.1023/A:1022290807360.
  • Kim CS, Proskurin DP, Iksanov AM, Kabluchko ZA. 2003. ‘The generalized {CCR}: representations and enveloping {$C^\ast$}-algebra.’ Reviews in Mathematical Physics 15, Nr. 4: 313–338. doi: 10.1142/S0129055X03001618.
  • Berger N, Gantert N, Peres Y. 2003. ‘The speed of biased random walk on percolation clusters.’ Probability Theory and Related Fields 126, Nr. 2: 221–242. doi: 10.1007/s00440-003-0258-2.
  • Comets F, Gantert N, Zeitouni O. 2003. ‘Erratum: ``Quenched, annealed and functional large deviations for one-dimensional random walk in random environment'' [Probab.\ Theory Related Fields 8 (2000), no.\ 1, 65--114; {MR}1785454 (2002h:60090)].’ Probability Theory and Related Fields 125, Nr. 1: 42–44. doi: 10.1007/s00440-002-0234-2.
  • Becker J, Klose K, Schneider M. 2003. ‘Prozessmodellbasierte Vertragsgestaltung in überbetrieblichen Kooperationen.’
  • Berger N, Gantert N, Peres Y. 2003. ‘The speed of biased random walks on percolation clusters.’ Probability Theory and Related Fields 126: 221–242.

  2002

  • Löwe M, Merkl F, Rolles S. 2002. ‘Moderate deviations for longest increasing subsequences: the lower tail.’ Journal of Theoretical Probability 15, Nr. 4: 1031–1047. doi: 10.1023/A:1020649006254.
  • Löwe M, Matzinger III H. 2002. ‘Scenery reconstruction in two dimensions with many colors.’ Annals of Applied Probability 12, Nr. 4: 1322–1347. doi: 10.1214/aoap/1037125865.
  • Bovier A, Kurkova I, Löwe M. 2002. ‘Fluctuations of the free energy in the {REM} and the {$p$}-spin {SK} models.’ Annals of Probability 30, Nr. 2: 605–651. doi: 10.1214/aop/1023481004.
  • Löwe M, Meise C. 2002. ‘Right order spectral gap estimates for generating sets of {$\Bbb Z_4$}.’ Random Structures and Algorithms 20, Nr. 2: 220–238. doi: 10.1002/rsa.998.abs.
  • Stolz M. 2002. ‘The history of applied mathematics and the history of society.’ Synthese 133, Nr. 1-2: 43–57. doi: 10.1023/A:1020823608217.
  • Bovier A, Kurkova I, Löwe M. 2002. ‘Fluctuations of the free energy in the REM and the p-spin Sk models.’ Annals of Probability 30: 605–651. doi: 10.1214/aop/1023481004.
  • Alsmeyer G. 2002. ‘The minimal subgroup of a random walk.’ Journal of Theoretical Probability 15, Nr. 2: 259–283. doi: 10.1023/A:1014884725213.
  • Alsmeyer G, Hoefs V. 2002. ‘Markov renewal theory for stationary {$(m+1)$}-block factors: convergence rate results.’ Stochastic Processes and their Applications 98, Nr. 1: 77–112. doi: 10.1016/S0304-4149(01)00137-5.
  • Alsmeyer G, Fuh C. 2002. ‘Corrigendum to: ``Limit theorems for iterated random functions by regenerative methods''.’ Stochastic Processes and their Applications 97, Nr. 2: 341–345. doi: 10.1016/S0304-4149(01)00144-2.
  • Surulescu N. 2002. ‘On some sequences derived from the Poisson distribution.’ Acta mathematics Academiae Paedagogicae Nyíregyháziensis 18, Nr. 1: 7–12.
  • Gantert N, Shi Z. 2002. ‘Many visits to a single site by a transient random walk in random environment.’ Stochastic Processes and their Applications 99, Nr. 2: 159–176. doi: 10.1016/S0304-4149(02)00089-3.
  • Gantert N. 2002. ‘Subexponential tail asymptotics for a random walk with randomly placed one-way nodes.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 38, Nr. 1: 1–16. doi: 10.1016/S0246-0203(01)01090-1.
  • Dembo A, Gantert N, Peres Y, Zeitouni O. 2002. ‘Large deviations for random walks on Galton-Watson trees: averaging and uncertainty.’ Probability Theory and Related Fields 122, Nr. 2: 241–288. doi: 10.1007/s004400100162.
  • Alsmeyer G, Rosler U. 2002. ‘Asexual versus promiscuous bisexual Galton-Watson processes: the extinction probability ratio.’ Annals of Applied Probability 12, Nr. 1: 125–142.

  2001

  • Löwe M. 2001. ‘Rekonstruktion zufälliger Landschaften.’ Mathematische Semesterberichte 48, Nr. 1: 29–48. doi: 10.1007/PL00009931.
  • Löwe M, Merkl F. 2001. ‘Moderate deviations for longest increasing subsequences: the upper tail.’ Communications on Pure and Applied Mathematics 54, Nr. 12: 1488–1520. doi: 10.1002/cpa.10010.
  • Löwe M, Meise C. 2001. ‘Note on the knapsack Markov chain.’ Stochastic Processes and their Applications 94, Nr. 1: 155–170. doi: 10.1016/S0304-4149(01)00080-1.
  • Alsmeyer G. 2001. ‘Two comparison theorems for nonlinear first passage times and their linear counterparts.’ Statistics and Probability Letters 55, Nr. 2: 163–171. doi: 10.1016/S0167-7152(01)00107-9.
  • Alsmeyer G. 2001. ‘Recurrence theorems for Markov random walks.’ Probability and Mathematical Statistics 21, Nr. 1, Acta Univ. Wratislav. No. 2298: 123–134.
  • Alsmeyer G, Fuh C. 2001. ‘Limit theorems for iterated random functions by regenerative methods.’ Stochastic Processes and their Applications 96, Nr. 1: 123–142. doi: 10.1016/S0304-4149(01)00104-1.
  • Alsmeyer G, Hoefs V. 2001. ‘Markov renewal theory for stationary {$m$}-block factors.’ Markov processes and related fields 7, Nr. 2: 325–348.
  • Kabluchko ZA. 2001. ‘On the extension of higher-dimensional noncommutative tori.’ Methods of Functional Analysis and Topology 7, Nr. 1: 28–33.
  • Irle A, Kubillus O, Paulsen V. 2001. ‘An asymptotic expansion for the optimal stopping boundary in problems with non-linear costs of observation.’ Journal of Applied Probability 38, Nr. 1: 67–79.
  • Paulsen V. 2001. ‘Bounds for the American perpetual put on a stock index.’ Journal of Applied Probability 38, Nr. 1: 55–66.
  • Gantert N, Garnier J, Olla S, Shi Z, Sznitman A. 2001. Milieux aléatoires. N/A: Selbstverlag / Eigenverlag.
  • Gantert N. 2001. ‘Galton-Watson trees as random environments.’ In Milieux aléatoires, 37–52. N/A: Selbstverlag / Eigenverlag.

  2000

  • Alsmeyer G. 2000. ‘The ladder variables of a Markov random walk.’ Probability and Mathematical Statistics 20, Nr. 1, Acta Univ. Wratislav. No. 2246: 151–168.
  • Gantert N. 2000. ‘The maximum of a branching random walk with semiexponential increments.’ Annals of Probability 28, Nr. 3: 1219–1229. doi: 10.1214/aop/1019160332.
  • Gantert N. 2000. ‘A note on logarithmic tail asymptotics and mixing.’ Statistics and Probability Letters 49, Nr. 2: 113–118. doi: 10.1016/S0167-7152(00)00037-7.
  • Comets F, Gantert N, Zeitouni O. 2000. ‘Quenched, annealed and functional large deviations for one-dimensional random walk in random environment.’ Probability Theory and Related Fields 118, Nr. 1: 65–114.
  • Comets F, Gantert N, Zeitouni O. 2000. ‘Quenched subexponential tail estimates for one-dimensional random walk in random environment.’ Probability Theory and Related Fields 118: 65–114.

  1999

  • Gentz B, Löwe M. 1999. ‘Fluctuations in the Hopfield model at the critical temperature.’ Markov processes and related fields 5, Nr. 4: 423–449. doi: 10.1007/s004400050241.
  • Gentz B, Löwe M. 1999. ‘The fluctuations of the overlap in the Hopfield model with finitely many patterns at the critical temperature.’ Probability Theory and Related Fields 115, Nr. 3: 357–381. doi: 10.1007/s004400050241.
  • Löwe M. 1999. ‘On the storage capacity of the Hopfield model with biased patterns.’ IEEE Transactions on Information Theory 45, Nr. 1: 314–318. doi: 10.1109/18.746829.
  • Löwe M. 1999. ‘The storage capacity of generalized Hopfield models with semantically correlated patterns.’ Markov processes and related fields 5, Nr. 1: 1–19.
  • Alsmeyer G, Gut A. 1999. ‘Limit theorems for stopped functionals of Markov renewal processes.’ Annals of the Institute of Statistical Mathematics 51, Nr. 2: 369–382. doi: 10.1023/A:1003822611607.
  • Alsmeyer G, Sgibnev M. 1999. ‘On the tail behaviour of the supremum of a random walk defined on a Markov chain.’ The Yokohama Mathematical Journal 46, Nr. 2: 139–159.
  • Paulsen V. 1999. ‘A martingale approach for detecting the drift of a Wiener process.’ Stochastic Processes and their Applications 80, Nr. 2: 177–191. doi: 10.1016/S0304-4149(98)00071-4.
  • Gantert N, Zeitouni O. 1999. ‘Large deviations for one-dimensional random walk in a random environment---a survey.’ In Random walks (Budapest, 1998), 127–165. N/A: Selbstverlag / Eigenverlag.

  1998

  • Eichelsbacher P, Löwe M. 1998. ‘Large deviations principle for partial sums {$U$}-processes.’ Teoriya Veroyatnostei i ee Primeneniya 43, Nr. 1: 97–115. doi: 10.1137/S0040585X97976647.
  • Löwe M. 1998. ‘On the storage capacity of Hopfield models with correlated patterns.’ Annals of Applied Probability 8, Nr. 4: 1216–1250. doi: 10.1214/aoap/1028903378.
  • Löwe M. 1998. ‘On the storage capacity of the Hopfield model.’ In Mathematical aspects of spin glasses and neural networks, 161–183. Basel: Birkhäuser Verlag.
  • Gantert N, Zeitouni O. 1998. ‘Quenched sub-exponential tail estimates for one-dimensional random walk in random environment.’ Communications in Mathematical Physics 194, Nr. 1: 177–190. doi: 10.1007/s002200050354.
  • Albu A, Haragus D, Mihet D, Puta M, Radu V, Surulescu N. 1998. Probleme pentru concursul de admitere 1998 la Facultatea de Matematica din Timisoara. Timișoara: Editura UVT.
  • Gantert N, Zeitouni O. 1998. ‘Large and moderate deviations for the local time of a recurrent Markov chain on {$Z^2$}}.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 34, Nr. 5: 687–704. doi: 10.1016/S0246-0203(98)80004-6.
  • Gantert N. 1998. ‘Functional Erd{\H o}s-Renyi laws for semiexponential random variables.’ Annals of Probability 26, Nr. 3: 1356–1369. doi: 10.1214/aop/1022855755.
  • Gantert N, Zeitouni O. 1998. ‘Quenched subexponential tail estimates for one-dimensional random walk in random environment Communications.’ Mathematical Physics 194: 177–190.

  1997

  • Löwe M. 1997. ‘On the invariant measure of non-reversible simulated annealing.’ Statistics and Probability Letters 36, Nr. 2: 189–193. doi: 10.1016/S0167-7152(97)00063-1.
  • Grotendiek T, Löwe M. 1997. ‘Optimal running times for systems of random walks involving several particles.’ Communications in Statistics: Stochastic Models 13, Nr. 2: 293–313. doi: 10.1080/15326349708807428.
  • Alsmeyer G. 1997. ‘The Markov renewal theorem and related results.’ Markov processes and related fields 3, Nr. 1: 103–127.
  • Paulsen V. 1997. ‘The moments of {FIND}.’ Journal of Applied Probability 34, Nr. 4: 1079–1082. doi: 10.2307/3215021.
  • Gantert N. 1997. ‘Functional Erdös-Renyi laws for semiexponential random variables.’ Annals of Probability 25: 901–926.
  • Föllmer F, Gantert N. 1997. ‘Entropy minimization and Schrödinger processes in infinite dimensions.’ Annals of Probability 21: 901–926.

  1996

  • Althöfer I, Löwe M. 1996. ‘Edge search in hypergraphs.’ Discrete Mathematics 162, Nr. 1-3: 267–271. doi: 10.1016/0012-365X(95)00291-4.
  • Löwe M. 1996. ‘On the convergence of genetic algorithms.’ Expositiones Mathematicae 14, Nr. 4: 289–312.
  • Löwe M. 1996. ‘Simulated annealing with time-dependent energy function via Sobolev inequalities.’ Stochastic Processes and their Applications 63, Nr. 2: 221–233. doi: 10.1016/0304-4149(96)00070-1.
  • Löwe M. 1996. ‘On a randomized version of exhaustive local search.’ Communications in Statistics: Stochastic Models 12, Nr. 3: 389–403.
  • Löwe M. 1996. ‘Iterated large deviations.’ Statistics and Probability Letters 26, Nr. 3: 219–223. doi: 10.1016/0167-7152(95)00013-5.
  • Alsmeyer G, Rösler U. 1996. ‘The bisexual Galton-Watson process with promiscuous mating: extinction probabilities in the supercritical case.’ Annals of Applied Probability 6, Nr. 3: 922–939. doi: 10.1214/aoap/1034968234.
  • Alsmeyer G. 1996. ‘Superposed continuous renewal processes: a Markov renewal approach.’ Stochastic Processes and their Applications 61, Nr. 2: 311–322. doi: 10.1016/0304-4149(95)00079-8.
  • Alsmeyer G. 1996. ‘Nonnegativity of odd functional moments of positive random variables with decreasing density.’ Statistics and Probability Letters 26, Nr. 1: 75–82. doi: 10.1016/0167-7152(94)00254-1.
  • Gantert N. 1996. ‘Large deviation principles for random fields on a binary tree.’ In Trees (Versailles, 1995), 141–147. Basel: Birkhäuser Verlag. doi: 10.1007/BF01311346.
  • Surulescu N. 1996. ‘Successive approximations to solutions, global existence and uniqueness for Itô stochastic differential equations.’ Analele Universitatii din Timisoara: Seria Matematica-informatica 34, Nr. 2: 271–281.
  • Constantin G, Surulescu N, Zaharie D. 1996. Lectii de statistica descriptiva 2. Timișoara: Editura UVT.

  1995

  • Eichelsbacher P, Löwe M. 1995. ‘A large deviation principle for {$m$}-variate von Mises-statistics and {$U$}-statistics.’ Journal of Theoretical Probability 8, Nr. 4: 807–824. doi: 10.1007/BF02410113.
  • Alsmeyer G. 1995. ‘Random walks with stochastically bounded increments: renewal theory.’ Mathematical News / Mathematische Nachrichten 175: 13–31. doi: 10.1002/mana.19951750103.

  1994

  • Alsmeyer G. 1994. ‘A recurrence theorem for square-integrable martingales.’ Studia Mathematica 110, Nr. 3: 221–234.
  • Alsmeyer G. 1994. ‘Random walks with stochastically bounded increments: renewal theory via Fourier analysis.’ The Yokohama Mathematical Journal 42, Nr. 1: 1–21.
  • Alsmeyer G. 1994. ‘Blackwell's renewal theorem for certain linear submartingales and coupling.’ Acta Applicandae Mathematicae 34, Nr. 1-2: 135–150. doi: 10.1007/BF00994262.
  • Alsmeyer G. 1994. ‘On the Markov renewal theorem.’ Stochastic Processes and their Applications 50, Nr. 1: 37–56. doi: 10.1016/0304-4149(94)90146-5.
  • Gantert N. 1994. ‘Self-similarity of Brownian motion and a large deviation principle for random fields on a binary tree.’ Probability Theory and Related Fields 98, Nr. 1: 7–20. doi: 10.1007/BF01311346.

  1993

  • Alsmeyer G. 1993. ‘On the Galton-Watson predator-prey process.’ Annals of Applied Probability 3, Nr. 1: 198–211. doi: 10.1214/aoap/1177005515.
  • Gantert N. 1993. ‘An inversion of Strassen's law of the iterated logarithm for small time.’ Annals of Probability 21, Nr. 2: 1045–1049. doi: 10.1214/aop/1176989281.

  1992

  • Alsmeyer G. 1992. ‘On generalized renewal measures and certain first passage times.’ Ann. Probab. 20: 1229–1247.

  1991

  • Alsmeyer G. 1991. ‘Complete answer to an interval splitting problem.’ Statistics and Probability Letters 12, Nr. 4: 285–287. doi: 10.1016/0167-7152(91)90092-6.
  • Alsmeyer G. 1991. ‘Some relations between harmonic renewal measures and certain first passage times.’ Statistics and Probability Letters 12, Nr. 1: 19–27. doi: 10.1016/0167-7152(91)90160-S.
  • Alsmeyer G. 1991. ‘Random walks with stochastically bounded increments: foundations and characterization results.’ Results in Mathematics 19, Nr. 1-2: 22–45.
  • Gantert N. 1991. Einige grosse Abweichungen der Brownschen Bewegung. N/A: Selbstverlag / Eigenverlag.

  1990

  • Alsmeyer G. 1990. ‘Convergence rates in the law of large numbers for martingales.’ Stochastic Processes and their Applications 36, Nr. 2: 181–194. doi: 10.1016/0304-4149(90)90090-F.
  • Gantert N. 1990. ‘Laws of large numbers for the annealing algorithm.’ Stochastic Processes and their Applications 35, Nr. 2: 309–313. doi: 10.1016/0304-4149(90)90009-H.

  1989

  • Alsmeyer G, Irle A. 1989. ‘Optimal strategies for discovering new species in continuous time.’ Journal of Applied Probability 26, Nr. 4: 695–706. doi: 10.2307/3214375.

  1988

  • Alsmeyer G. 1988. ‘On the variance of first passage times in the exponential case.’ In Transactions of the Tenth Prague Conference on Information Theory, Statistical Decision Functions, Random Processes, Vol.\ A (Prague, 1986), 183–192. N/A: Sonstiger Verlag / other publisher.
  • Alsmeyer G. 1988. ‘On first and last exit times for curved differentiable boundaries.’ Sequential Analysis 7, Nr. 4: 345–362. doi: 10.1080/07474948808836162.
  • Alsmeyer G. 1988. ‘Second-order approximations for certain stopped sums in extended renewal theory.’ Advances in Applied Probability 20, Nr. 2: 391–410. doi: 10.2307/1427396.

  1987

  • Alsmeyer G. 1987. ‘On central limit theorems and uniform integrability for certain stopped linear sum processes.’ In Mathematical statistics and probability theory, Vol.\ A (Bad Tatzmannsdorf, 1986), 1–14. N/A: Sonstiger Verlag / other publisher.
  • Alsmeyer G. 1987. ‘On the moments of certain first passage times for linear growth processes.’ Stochastic Processes and their Applications 25, Nr. 1: 109–136. doi: 10.1016/0304-4149(87)90193-1.

  1986

  • Alsmeyer G, Irle A. 1986. ‘Asymptotic expansions for the variance of stopping times in nonlinear renewal theory.’ Stochastic Processes and their Applications 23, Nr. 2: 235–258. doi: 10.1016/0304-4149(86)90038-4.

• Institute for Analysis and Numerics

   

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  • 1991
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  • 1976
  • 1975

  2024

  • Chevyrev, I.; Gerasimovičs, A.; Weber, H. 2024. ‘Feature Engineering with Regularity Structures.’ Journal of Scientific Computing 98, Nr. 13. doi: 10.1007/s10915-023-02401-4.
  • Chandra, Ajay; de Lima Feltes, Guilherme; Weber, Hendrik. 2024 A priori bounds for 2-d generalised Parabolic Anderson Model arXiv. doi: 10.48550/arXiv.2402.05544.
  • Esposito A; Patacchini FS; Schlichting A. 2024. ‘On a Class of Nonlocal Continuity Equations on Graphs.’ European Journal of Applied Mathematics 35, Nr. 1: 109–126. doi: 10.1017/S0956792523000128.
  • Budde, Ilka; Schlichting, André; Ing, David; Schimmelpfennig, Sandra; Kuntze, Anna; Fels, Benedikt; Romac, Joelle M.-J.; Swain, Sandip M.; Liddle, Rodger A.; Stevens, Angela; Schwab, Albrecht; Pethő, Zoltán. 2024. ‘Piezo1-induced durotaxis of pancreatic stellate cells depends on TRPC1 and TRPV4 channels.’ BioRxiv 2024. doi: 10.1101/2023.12.22.572956.
  • Schembera, Björn; Wübbeling, Frank; Kleikamp, Hendrik; Biedinger, Christine; Fiedler, Jochen; Reidelbach, Marco; Shehu, Aurela; Schmidt, Burkhard; Koprucki, Thomas; Iglezakis, Dorothea; Göddeke, Dominik. 2024. ‘Ontologies for Models and Algorithms in Applied Mathematics and Related Disciplines.’ In Metadata and Semantic Research - 17th Research Conference, MTSR 2023, Milan, Italy, October 25–27, 2023, Revised Selected Papers, edited by Garoufallou, Emmanouel; Sartori, Fabio, 161–168. Heidelberg: Springer. doi: 10.1007/978-3-031-65990-4_14.
  • Singh A; Thale S; Leibner T; Lamparter L; Ricker A; Nüsse H; Klingauf J; Galic M; Ohlberger M; Matis M. 2024. ‘Dynamic interplay of microtubule and actomyosin forces drive tissue extension.’ Nature Communications 15, Nr. 1: 3198. doi: 10.1038/s41467-024-47596-8.
  • Tim Keil, Mario Ohlberger, Felix Schindler, Julia Schleuß. 2024. ‘Local training and enrichment based on a residual localization strategy.’ In Proceedings of the Conference Algoritmy 2024, edited by Frolkovič, P; Mikula, K; Ševčovič, D, 76–84. Bratislava: Jednota slovenských matematikov a fyzikov.
  • Wenzel, Tizian; Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix. 2024. ‘Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling.’ In Large-Scale Scientific Computations, edited by Lirkov, I.; Margenov, S., 117–125. Berlin: Springer Nature. doi: 10.1007/978-3-031-56208-2_11.
  • Holler, Martin; Wirth, Benedikt. 2024. ‘Exact reconstruction and reconstruction from noisy data with anisotropic total variation.’ SIAM Journal on Mathematical Analysis 56, Nr. 3: 2938–2967. doi: 10.1137/22M1508571.
  • Braunsmann, Juliane; Rajković, Marko; Rumpf, Martin; Wirth, Benedikt. 2024. ‘Convergent Autoencoder Approximation of Low Bending and Low Distortion Manifold Embeddings.’ ESAIM: Mathematical Modelling and Numerical Analysis 58, Nr. 1: 335–361. doi: 10.1051/m2an/2023088.
  • Holler, Martin; Schlüter, Alexander; Wirth, Benedikt. 2024. ‘Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space.’ Applied and Computational Harmonic Analysis 70: 101631. doi: 10.1016/j.acha.2024.101631.
  • Mauritz, Marco; Schmitzer, Bernhard; Wirth, Benedikt. 2024. ‘A Bayesian model for dynamic mass reconstruction from PET listmode data.’ Siam Journal on Mathematical Analysis 56, Nr. 5: 5840–5880. doi: 10.1137/23M161923X.
  • Meyer, David; Seis, Christian. 2024. ‘Propagation of regularity for transport equations. A Littlewood-Paley approach.’ Indiana University Mathematics Journal 73, Nr. 2: 445–473.
  • Seis, Christian; Winkler, Dominik. 2024. ‘Invariant Manifolds for the Thin Film Equation.’ Archive for Rational Mechanics and Analysis 248, Nr. 2. doi: 10.1007/s00205-024-01968-y.
  • Keil, Tim; Ohlberger, Mario; Schindler, Felix. 2024. ‘Adaptive Localized Reduced Basis Methods for Large Scale PDE-constrained Optimization.’ In Large-Scale Scientific Computations, edited by Lirkov, I; Margenov, S, 108–116. Berlin: Springer Nature. doi: 10.1007/978-3-031-56208-2_10.
  • Seis, Christian; Winkler, Dominik. 2024. ‘Fine large-time asymptotics for the axisymmetric Navier-Stokes equations.’ Journal of Evolution Equations 24: 72. doi: 10.1007/s00028-024-01001-5.
  • Ceci, Stefano; Seis, Christian. 2024. ‘On the dynamics of vortices in viscous 2D flows.’ Mathematische Annalen 388: 1937–1967. doi: 10.1007/s00208-023-02568-z.
  • Engwer, Christian; Ohlberger, Mario; Renelt, Lukas. 2024. ‘Model order reduction of an ultraweak and optimally stable variational formulation for parametrized reactive transport problems.’ SIAM Journal on Scientific Computing 46, Nr. 5: A3205–A3229. doi: 10.1137/23M1613402.
  • Kartmann, Michael; Keil, Tim; Ohlberger, Mario; Volkwein, Stephan; Kaltenbacher, Barbara. 2024. ‘Adaptive Reduced Basis Trust Region Methods for Parameter Identification Problems.’ Computational Science and Engineering 1, Nr. 3: 1–30. doi: 10.1007/s44207-024-00002-z.
  • Engwer, Christian; Ohlberger, Mario; Renelt, Lukas. 2024. ‘Construction of local reduced spaces for Friedrichs' systems via randomized training.’ Contributed to the Central-European Conference on Scientific Computing, ALGORITMY, Podbanské.
  • Kleikamp, Hendrik. 2024. ‘Application of an adaptive model hierarchy to parametrized optimal control problems.’ Contributed to the Algoritmy, Podbanske.
  • de Lima Feltes, Guilherme; Weber, Hendrik. 2024. ‘Brownian particle in the curl of 2-d stochastic heat equations.’ Journal of Statistical Physics 191: 16. doi: 10.1007/s10955-023-03224-1.
  • Keil Tim, Ohlberger Mario. 2024. ‘A Relaxed Localized Trust-Region Reduced Basis Approach for Optimization of Multiscale Problems.’ ESAIM: Mathematical Modelling and Numerical Analysis 58: 79–105. doi: 10.1051/m2an/2023089.

  2023

  • Renelt, Lukas; Ohlberger, Mario; Engwer, Christian. 2023. ‘An optimally stable approximation of reactive transport using discrete test and infinite trial spaces.’ In Finite Volumes for Complex Applications X—Volume 2, Hyperbolic and Related Problems, edited by Franck, Emmanuel; Fuhrmann, Jürgen;, Michel-Dansac, Victor; Navoret, Laurent, 289–298. Heidelberg: Springer. doi: 10.1007/978-3-031-40860-1_30.
  • Bae, Gi-Chan; Klingenberg, Christian; Pirner, Marlies; Yun, Seok-Bae. 2023. ‘BGK model for two-component gases near a global Maxwellian.’ SIAM Journal on Mathematical Analysis 55.
  • Tolomeo, Leonardo; Weber, Hendrik. 2023 Phase transition for invariant measures of the focusing Schrödinger equation arXiv. doi: 10.48550/arXiv.2306.07697.
  • Grazieschi, Paolo; Matetski, Konstantin; Weber, Hendrik. 2023 Martingale-driven integrals and singular SPDEs arXiv. doi: 10.48550/arXiv.2303.10245.
  • Grazieschi, Paolo; Matetski, Konstantin; Weber, Hendrik. 2023 The dynamical Ising-Kac model in 3D converges to Φ43 arXiv. doi: 10.48550/arXiv.2303.10242.
  • Monteil, A; Muratov, CB; Simon, TM; Slastikov, VV. 2023. ‘Magnetic skyrmions under confinement.’ Communications in Mathematical Physics 404: 1571–2023. doi: 10.1007/s00220-023-04864-w.
  • Rüland, A; Simon, TM. 2023. ‘On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation.’ Journal of Elasticity 153: 455–475. doi: 10.1007/s10659-023-10011-2.
  • Bernand-Mantel, A.; Fondet, A; Barnova, S.; Simon, T.M.; Muratov C.B. 2023. ‘Theory of magnetic field-stabilized compact skyrmions in thin film ferromagnets.’ Physical Review B 2023: L161405. doi: 10.1103/PhysRevB.108.L161405.
  • Luckhaus, Stephan; Stevens, Angela. 2023. ‘A free boundary problem-in time-for the spread of Covid-19.’ Journal of Mathematical Biology 86, Nr. 45. doi: 10.1007/s00285-023-01881-0.
  • Luckhaus, Stephan; Stevens, Angela. 2023. ‘A two level contagion process and its deterministic McKendrick limit with relevance for the Covid epidemic.’ Ensaios Matemáticos 38: 343–358. doi: 10.21711/217504322023/em3813.
  • Julia Schleuß, Kathrin Smetana, Lukas ter Maat. 2023. ‘Randomized quasi-optimal local approximation spaces in time.’ SIAM Journal on Scientific Computing 45, Nr. 3. doi: 10.1137/22M1481002.
  • Himpe, Christian; Grundel, sara. 2023. ‘System Order Reduction for Gas and Energy Networks.’ Contributed to the 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Aachen. doi: 10.1002/pamm.202200201.
  • Landstorfer M, Ohlberger M, Rave S, Tacke M. 2023. ‘A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells.’ European Journal of Applied Mathematics 34, Nr. 3: 554–591. doi: 10.1017/S0956792522000353.
  • Ohlberger, M.; Banholzer, S.; Haasdonk, B.; Keil, T., Kleikamp, H.; Mechelli, L.; Oguntola, M;, Schindler, F.; Volkwein, S.; Wenzel, T. 2023. ‘Model Reduction and Learning for PDE Constrained Optimization.’ Contributed to the Oberwolfach Workshop on Optimization Problems for PDEs in Weak Space-Time Form, Oberwolfach. doi: 10.4171/OWR/2023/13.
  • Medani, Takfarinas; Garcia-Prieto, Juan; Tadel, Francois; Antonakakis, Marios; Erdbrügger, Tim; Höltershinken, Malte; Mead, Wayne; Schrader, Sophie; Joshi, Anand; Engwer, Christian; Wolters, Carsten H.; Mosher, John C.; Leahy, Richard M. 2023. ‘Brainstorm-DUNEuro: An integrated and user-friendly Finite Element Method for modeling electromagnetic brain activity.’ NeuroImage 267: 119851. doi: 10.1016/j.neuroimage.2022.119851.
  • Erdbrügger, T.; Westhoff, A.; Höltershinken, M.; Radecke, J.-O.; Buschermöhle, Y.; Buyx, A.; Wallois, F.; Pursiainen, S.; Gross, J.; Lencer, R.; Engwer, C.; Wolters, C.H. 2023. ‘CutFEM forward modeling for EEG source analysis.’ Frontiers in Human Neuroscience 17: 1216758. doi: 10.3389/fnhum.2023.1216758.
  • Guastini, Mara; Rajković, Marko; Rumpf, Martin; Wirth, Benedikt. 2023. ‘The variational approach to the flow of Sobolev-diffeomorphisms model.’ In Scale Space and Variational Methods in Computer Vision, edited by Calatroni, Luca; Donatelli, Marco; Morigi, Serena; Prato, Marco; Santacesaria, Matteo, 551–564. Heidelberg: Springer. doi: https://doi.org/10.1007/978-3-031-31975-4_42.
  • Sassen, Josua; Hildebrandt, Klaus; Rumpf, Martin; Wirth, Benedikt. 2023. ‘Parametrizing product shape manifolds by composite networks.’ Contributed to the International Conference on Learning Representations (ICLR 2023), Kigali.
  • Hahn, Bernadette; Wirth, Benedikt. 2023. ‘Convex reconstruction of moving particles with inexact motion model.’ Proceedings in Applied Mathematics and Mechanics n/a: e202300054. doi: https://doi.org/10.1002/pamm.202300054.
  • Choi, Beomjun; McCann, Robert J.; Seis, Christian. 2023. ‘Asymptotics near extinction for nonlinear fast diffusion on a bounded domain.’ Archive for Rational Mechanics and Analysis 247: 16. doi: 10.1007/s00205-023-01850-3.
  • Navarro-Fernández V, Schlichting A. 2023. ‘Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients.’ ESAIM: Mathematical Modelling and Numerical Analysis 57, Nr. 4: 2131–2158. doi: 10.1051/m2an/2023035.
  • Beck, Lisa; Cinti; Eleonora; Seis, Christian. 2023. ‘Optimal regularity of isoperimetric sets with Hölder densities.’ Calculus of Variations and Partial Differential Equations 62, Nr. 214. doi: 10.1007/s00526-023-02542-2.
  • Keil Tim, Rave Stephan. 2023. ‘An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition.’ SIAM Journal on Scientific Computing 45, Nr. 4. doi: 10.1137/21M1460016.
  • Hutzenthaler M, Jentzen A, Kruse T, Nguyen TA. 2023. ‘Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations.’ Journal of Numerical Mathematics 31, Nr. 2: 1–28. doi: 10.1515/jnma-2021-0111.
  • Grohs P, Hornung F, Jentzen A, Zimmermann P. 2023. ‘Space-time error estimates for deep neural network approximations for differential equations.’ Advances in Computational Mathematics 49, Nr. 1: 4. doi: 10.1007/s10444-022-09970-2.
  • Becker S, Gess B, Jentzen A, Kloeden PE. 2023. ‘Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen--Cahn equations.’ Stochastics and Partial Differential Equations: Analysis and Computations 11, Nr. 1: 211–268. doi: 10.1007/s40072-021-00226-6.
  • Beck C, Hutzenthaler M, Jentzen A, Kuckuck B. 2023. ‘An overview on deep learning-based approximation methods for partial differential equations.’ Discrete and Continuous Dynamical Systems - Series B 28, Nr. 6: 3697–3746. doi: 10.3934/dcdsb.2022238.
  • Jentzen A, Riekert A. 2023. ‘Convergence analysis for gradient flows in the training of artificial neural networks with ReLU activation.’ Journal of Mathematical Analysis and Applications 517, Nr. 2: 126601. doi: 10.1016/j.jmaa.2022.126601.
  • Friedrich, Manuel; Machill, Lennart. 2023. ‘One-dimensional viscoelastic von Kármán theories derived from nonlinear thin-walled beams.’ Calculus of Variations and Partial Differential Equations 62, Nr. 7: 190. doi: 10.1007/s00526-023-02525-3.
  • Haasdonk B, Kleikamp H, Ohlberger M, Schindler F, Wenzel T. 2023. ‘A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs.’ SIAM Journal on Scientific Computing 45, Nr. 3: A1039. doi: 10.1137/22M1493318.
  • Chandra, Ajay; Moinat, Augustin; Weber, Hendrik. 2023. ‘A Priori Bounds for the Φ4 Equation in the Full Sub-critical Regime.’ Archive for Rational Mechanics and Analysis 247, Nr. 3: 48. doi: 10.1007/s00205-023-01876-7.
  • Eberle, Simon; Jentzen, Arnulf; Riekert, Adrian; Weiss, Georg S. 2023. ‘Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation.’ Electronic Research Archive 31, Nr. 5: 2519–2554. doi: 10.3934/era.2023128.
  • Hahn, Tim; Jamalabadi, Hamidreza; Nozari, Erfan; Winter, Nils R.; Ernsting, Jan; Gruber, Marius; Mauritz, Marco J.; Grumbach, Pascal; Fisch, Lukas; Leenings, Ramona; Sarink, Kelvin; Blanke, Julian; Vennekate, Leon Kleine; Emden, Daniel; Opel, Nils; Grotegerd, Dominik; Enneking, Verena; Meinert, Susanne; Borgers, Tiana; Klug, Melissa; Leehr, Elisabeth J.; Dohm, Katharina; Heindel, Walter; Gross, Joachim; Dannlowski, Udo; Redlich, Ronny; Repple, Jonathan. 2023. ‘Towards a network control theory of electroconvulsive therapy response.’ PNAS Nexus 2, Nr. 2. doi: 10.1093/pnasnexus/pgad032.

  2022

  • Keil T, Kleikamp H, Lorentzen R, Oguntola M, Ohlberger M. 2022. ‘Adaptive machine learning based surrogate modeling to accelerate PDE-constrained optimization in enhanced oil recovery.’ Advances in Computational Mathematics 2022, Nr. 48: 73. doi: 10.1007/s10444-022-09981-z.
  • Pirner, Marlies; Warnecke, Sandra. 2022. ‘A review on a general multi-species BGK model: modelling, theory and numerics.’ In From Kinetik Theory to Turbulence Modeling, edited by Barbante, Paolo; Belgiorno, Francesco; Lorenzani, Silvia; Valdettaro, Lorenzo, 217–231. Heidelberg: Springer.
  • Favre, Gianluca; Pirner, Marlies; Schmeiser, Christian. 2022. ‘Thermalization of a rarefied gas with total energy conservation: existence, hypocoercivity, macroscopic limit.’ Kinetic and Related Models 15.
  • Haack, Jeff; Hauck, Cory; Klingenberg, Christian; Pirner, Marlies; Warnecke, Sandra. 2022. ‘Numerical schemes for a multi-species BGK model with velocity-dependent collision frequency.’ Journal of Computational Physics 473.
  • Muratov, C.B.; Simon, T.M. 2022. Correction to: A Nonlocal Isoperimetric Problem with Dipolar Repulsion. doi: 10.1007/s00220-022-04426-6.
  • Bruno, Stefano; Gess, Benjamin; Weber, Hendrik. 2022. ‘Optimal regularity in time and space for stochastic porous medium equations.’ Annals of Probability 50, Nr. 6: 2288–2343. doi: 10.1214/22-AOP1583.
  • Gunaratnam, Trishen; Oh, Tadahiro; Tzvetkov, Nikolay; Weber, Hendrik. 2022. ‘Quasi-invariant Gaussian measures for the nonlinear wave equation in three dimensions.’ Probability and Mathematical Physics 3, Nr. 2: 343–379. doi: 10.2140/pmp.2022.3.343.
  • Chandra, Ajay; Gunaratnam, Trishen S.; Weber, Hendrik. 2022. ‘Phase Transitions for ϕ^4_3.’ Communications in Mathematical Physics 392: 691–782. doi: 10.1007/s00220-022-04353-6.
  • Bonnefoi, Timothée; Chandra, Ajay; Moinat, Augustin; Weber, Hendrik. 2022. ‘A priori bounds for rough differential equations with a non-linear damping term.’ Journal of Differential Equations 318: 58–93. doi: 10.1016/j.jde.2022.02.006.
  • Menz G, Schlichting A, Tang W, Wu T. 2022. ‘Ergodicity of the infinite swapping algorithm at low temperature.’ Stochastic Processes and their Applications 151: 519–552. doi: 10.1016/j.spa.2022.06.015.
  • Niethammer Barbara, Pego Robert L., Schlichting André, Velázquez Juan J. L,. 2022. ‘Oscillations in a Becker-Döring model with injection and depletion.’ SIAM Journal on Applied Mathematics 82, Nr. 4: 1194–1219. doi: 10.1137/20M1398664.
  • Stevens, Angela; Winkler, Michael. 2022. ‘Taxis-driven persistent localization in a degenerate Keller-Segel system.’ Communications in Partial Differential Equations 47, Nr. 12: 2341–2362. doi: 10.1080/03605302.2022.2122836.
  • Luckhaus, Stephan; Stevens, Angela. 2022. ‘Kermack and McKendrick Models on a Two-Scale Network and Connections to the Boltzmann Equations.’ In Mathematics Going Forward. Lecture Notes in Mathematics, vol 2313, edited by Morel, Jean Michel; Teissier, Bernard, 417–427. Heidelberg: Springer. doi: 10.1007/978-3-031-12244-6_29.
  • Fritze, René; Rave, Stephan. 2022. ‘Specification and Validation of Numerical Algorithms with the Gradual Contracts Pattern.’ In Testing Software and Systems, edited by Clark, David; Menendez, Hector; Cavalli, Ana Rosa, 181–188. Basel : Springer International Publishing.
  • Himpe, Christian; Grundel, Sara; Benner, Peter. 2022. ‘Next-Gen Gas Network Simulation.’ In Progress in Industrial Mathematics at ECMI 2021, edited by Ehrhardt, Matthias; Günther, Michael, 107–113. Heidelberg: Springer. doi: 10.1007/978-3-031-11818-0_15.
  • Kleikamp Hendrik, Ohlberger Mario, Rave Stephan. 2022. ‘Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain.’ In MATHMOD 2022 - Discussion Contribution Volume, edited by Breitenecker, Felix; Kemmetmüller, Wolfgang; Körner, Andreas; Kugi, Andreas; Troch, Inge, 57–58. Wien: ARGESIM Verlag. doi: 10.11128/arep.17.a17129.
  • Brecher C, Buchmeiser MR, Burkert A, Busemeyer MR, Conermann S, Ertl T, Friedrich M, Helmig, R, Hohmann V, Johnston AJ, Kollmeier B, Larkum M, Louis J, Menges A, Morgner U, Müller J, Niessen C, Ohlberger M, Schäffner W, Schmidt P, Schmitz D, Seeger W, Stammer D, Thomas A, Traninger A, Wegener M, Colomb J, Hermann S, Kopsch-Xhema J, Range J, Flemisch B. 2022. „Commitment zu aktivem Daten- und -softwaremanagement in großen Forschungsverbünden: Commitment to active data and software management in large research alliances.“ Bausteine Forschungsdatenmanagement 1: 121–123. doi: 10.17192/bfdm.2022.1.8412.
  • Himpe C, Grundel S, Benner P. 2022. ‘Efficient Gas Network Simulations.’ In German Success Stories in Industrial Mathematics, edited by Bock HG, Küfer KH, Maass P, Milde A, Schulz V, 17–22. doi: 10.1007/978-3-030-81455-7_4.
  • Haasdonk B, Ohlberger M, Schindler F. 2022. ‘An adaptive model hierarchy for data-augmented training of kernel models for reactive flow.’ In MATHMOD 2022 Discussion Contribution Volume, edited by Breitenecker, Felix; Kemmetmüller, Wolfgang; Körner, Andreas; Kugi, Andreas; Troch, Inge, 67–68. 17. Aufl. Wien: ARGESIM Verlag. doi: 10.11128/arep.17.a17155.
  • Benner, P.; Burger, M.; Göddeke, D.; Himpe, C.; Hintermüller, M.; Heiland, J.; Koprucki, T.; Ohlberger, M.; Rave, S.; Reidelbach, M.; Saak, J.; Schöbel, A.; Tabelow, K. 2022. „Die Mathematische Forschungsdateninitiative in der NFDI: MaRDI (Mathematical Research Data Initiative).“ GAMM Rundbrief 1/2022: 40–43.
  • Julia Schleuß, Kathrin Smetana. 2022. ‘Optimal local approximation spaces for parabolic problems.’ Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 20, Nr. 1. doi: 10.1137/20M1384294.
  • Gander Martin, Rave Stephan. 2022. ‘Localized Reduced Basis Additive Schwarz Methods.’ In Domain Decomposition Methods in Science and Engineering XXVI, edited by Brenner, Susanne C. Brenner; Chung, Eric; Klawonn, Axel; Kwok, Felix; Xu, Jinchao; Zou, Jun, 487–494. Basel : Springer International Publishing. doi: 10.1007/978-3-030-95025-5_52.
  • Dirks C, Wirth B. 2022. ‘An adaptive finite element approach for lifted branched transport problems.’ In Optimization and Control for Partial Differential Equations: Uncertainty quantification, open and closed-loop control, and shape optimization, edited by Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler, Emmanuel Trélat, 189–236. Berlin: De Gruyter.
  • Effland A, Heeren B, Rumpf M, Wirth B. 2022. ‘Consistent Curvature Approximation on Riemannian Shape Spaces.’ IMA Journal of Numerical Analysis 42, Nr. 1: 78–106.
  • Potthoff Jonas, Wirth Benedikt. 2022. ‘Optimal fine-scale structures in compliance minimization for a uniaxial load in three space dimensions.’ ESAIM: Control, Optimisation and Calculus of Variations 28: 27.
  • Striewski Paul, Wirth Benedikt. 2022. ‘Elastic 3D-2D Image Registration.’ Journal of Mathematical Imaging and Vision 64: 443–462.
  • Lohmann J, Schmitzer B, Wirth B. 2022. ‘Formulation of branched transport as geometry optimization.’ Journal de Mathématiques Pures et Appliquées 163: 739–779. doi: 10.1016/j.matpur.2022.05.021.
  • Lohmann, Julius; Schmitzer, Bernhard; Wirth, Benedikt. 2022. ‘Duality in branched transport and urban planning.’ Applied Mathematics and Optimization 86: 45. doi: 10.1007/s00245-022-09927-3.
  • Navarro-Fernández V, Schlichting A, Seis C. 2022. ‘Optimal stability estimates and a new uniqueness result for advection-diffusion equations.’ Pure and Applied Analysis 4, Nr. 3: 571–596. doi: 10.2140/paa.2022.4.571.
  • Schlichting, André; Seis, Christian. 2022. ‘The Scharfetter-Gummel scheme for aggregation-diffusion equations.’ IMA Journal of Numerical Analysis 42, Nr. 3. doi: 10.1093/imanum/drab039.
  • Seis C. 2022. ‘Bounds on the rate of enhanced dissipation.’ Communications in Mathematical Physics Online first. doi: 10.1007/s00220-022-04588-3.
  • Nobili, Camilla; Seis, Christian. 2022. ‘Renormalization and energy conservation for axisymmetry fluid flows.’ Mathematische Annalen 382: 1–36. doi: 10.1007/s00208-020-02050-0.
  • Abgrall R, Öffner P, Ranocha H. 2022. ‘Reinterpretation and Extension of Entropy Correction Terms for Residual Distribution and Discontinuous Galerkin Schemes: Application to Structure Preserving Discretization.’ Journal of Computational Physics 2022: 110955. doi: 10.1016/j.jcp.2022.110955.
  • Ranocha H, Schlottke-Lakemper M, Winters AR, Faulhaber E, Chan J, Gassner G. 2022. ‘Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing.’ Proceedings of the JuliaCon Conferences 1, Nr. 1: 77. doi: 10.21105/jcon.00077.
  • Ceci S, Seis C. 2022. ‘On the dynamics of point vortices for the 2D Euler equation with Lp vorticity.’ Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380, Nr. 2226. doi: 10.1098/rsta.2021.0046.
  • Tim Keil. 2022. Adaptive Reduced Basis Methods for Multiscale Problems and Large-scale PDE-constrained Optimization Dissertationsschrift, WWU Münster. Münster. doi: 10.48550/arXiv.2211.09607.
  • Cheridito P, Jentzen A, Rossmannek F. 2022. ‘Landscape analysis for shallow neural networks: complete classification of critical points for affine target functions.’ Journal of Nonlinear Science 32, Nr. 5: 64. doi: 10.1007/s00332-022-09823-8.
  • Cheridito, Patrick; Jentzen, Arnulf; Riekert, Adrian; Rossmannek, Florian. 2022. ‘A proof of convergence for gradient descent in the training of artificial neural networks for constant target functions.’ Journal of Complexity 72: 101646. doi: 10.1016/j.jco.2022.101646.
  • Beck C, Jentzen A, Kuckuck B. 2022. ‘Full error analysis for the training of deep neural networks.’ Infinite Dimensional Analysis, Quantum Probability and Related Topics 25, Nr. 2: 2150020. doi: 10.1142/S021902572150020X.
  • Grohs P, Jentzen A, Salimova D. 2022. ‘Deep neural network approximations for solutions of PDEs based on Monte Carlo algorithms.’ SN Partial Differential Equations and Applications 3, Nr. 4: 45. doi: 10.1007/s42985-021-00100-z.
  • Elbrächter, D.; Grohs, P.; Jentzen, A.; Schwab, C. 2022. ‘DNN Expression Rate Analysis of High-dimensional PDEs: Application to Option Pricing.’ Constructive Approximation 55, Nr. 1: 3–71. doi: 10.1007/s00365-021-09541-6.
  • Hutzenthaler M, Jentzen A, Kruse T. 2022. ‘Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities.’ Foundations of Computational Mathematics 22, Nr. 4: 905–966. doi: 10.1007/s10208-021-09514-y.
  • Cheridito P, Jentzen A, Rossmannek F. 2022. ‘Efficient approximation of high-dimensional functions with neural networks.’ IEEE Transactions on Neural Networks and Learning Systems 33, Nr. 7: 3079–3093. doi: 10.1109/TNNLS.2021.3049719.
  • Jentzen A, Kuckuck B, Müller-Gronbach T, Yaroslavtseva L. 2022. ‘Counterexamples to local Lipschitz and local Hölder continuity with respect to the initial values for additive noise driven SDEs with smooth drift coefficient functions with at most polynomially growing derivatives.’ Discrete and Continuous Dynamical Systems - Series B 27, Nr. 7: 3707–3724. doi: 10.3934/dcdsb.2021203.
  • E, W.; Han, J.; Jentzen, A. 2022. ‘Algorithms for Solving High Dimensional PDEs: From Nonlinear Monte Carlo to Machine Learning.’ Nonlinearity 35, Nr. 1: 278–310. doi: 10.1088/1361-6544/ac337f.
  • Banholzer S, Keil T, Mechelli L, Ohlberger M, Schindler F, Volkwein S. 2022. ‘An adaptive projected Newton non-conforming dual approach for trust-region reduced basis approximation of PDE-constrained parameter optimization.’ Pure and Applied Functional Analysis 7, Nr. 5: 1561–1596.
  • Jentzen A, Riekert A. 2022. ‘On the existence of global minima and convergence analyses for gradient descent methods in the training of deep neural networks.’ Journal of Machine Learning 1, Nr. 2: 141–246. doi: 10.4208/jml.220114a.
  • Jentzen, Arnulf; Riekert, Adrian. 2022. ‘A proof of convergence for the gradient descent optimization method with random initializations in the training of neural networks with ReLU activation for piecewise linear target functions.’ Journal of Machine Learning Research 23, Nr. 260: 1–50.
  • Jentzen, Arnulf; Riekert, Adrian. 2022. ‘A proof of convergence for stochastic gradient descent in the training of artificial neural networks with ReLU activation for constant target functions.’ Zeitschrift für Angewandte Mathematik und Physik 73, Nr. 5: 188. doi: 10.1007/s00033-022-01716-w.
  • Gonon, Lukas; Grohs, Philipp; Jentzen, Arnulf; Kofler, Dvid; Šiška, David. 2022. ‘Uniform error estimates for artificial neural network approximations for heat equations.’ IMA Journal of Numerical Analysis 42, Nr. 3: 1991–2054. doi: 10.1093/imanum/drab027.
  • Gavrilenko Pavel, Haasdonk Bernard, Iliev Oleg, Ohlberger Mario, Schindler Felix, Toktaliev Pavel, Wenzel Tizian, Youssef Maha. 2022. ‘A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows.’ In Large-Scale Scientific Computing, edited by Lirkov Ivan, Margenov Svetozar, 378–386. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-030-97549-4_43.
  • Keil Tim, Ohlberger Mario. 2022. ‘Model Reduction for Large Scale Systems.’ In Large-Scale Scientific Computing, edited by Lirkov Ivan, Margenov Svetozar, 16–28. Basel : Springer International Publishing. doi: 10.1007/978-3-030-97549-4_2.
  • Peletier Mark A., Schlichting André. 2022. ‘Cosh gradient systems and tilting.’ Nonlinear Analysis: Theory, Methods and Applications 2203: 113094. doi: 10.1016/j.na.2022.113094.
  • Leibner Tobias. 2022. Model reduction for kinetic equations: moment approximations and hierarchical approximate proper orthogonal decomposition Dissertationsschrift, Universität Münster. N/A: Selbstverlag / Eigenverlag.
  • Friedrich, Manuel; Machill, Lennart. 2022. ‘Derivation of a one-dimensional von Kármán theory for viscoelastic ribbons.’ Nonlinear Differential Equations and Applications 29, Nr. 2: 1–42. doi: 10.1007/s00030-021-00745-0.

  2021

  • Pirner, Marlies. 2021. ‘On multi-species BGK models with velocity dependent collision frequencies.’ In Small Collaboration: Modeling Phenomena from Nature by Hyperbolic Partial Differential Equations (hybridmeeting), edited by Klingenberg, Christian; Li, Qin; Pirner, Marlies, 8–10. Oberwolfach: Mathematisches Forschungsinstitut Oberwolfach. doi: 10.4171/OWR/2021/19.
  • Bae, Gi-Chan; Klingenberg, Christian; Pirner, Marlies; Yun, Seok-Bae. 2021. ‘BGK model of the multi-species Uehling Uhlenbeck equation.’ Kinetic and Related Models 14.
  • Haack, Jeff; Hauck, Cory; Klingenberg, Christian; Pirner, Marlies; Warnecke, Sandra. 2021. ‘A consistent BGK model with velocity-dependent collision frequency for gas mixtures.’ Journal of Statistical Physics 184.
  • Pirner, Marlies. 2021. ‘A review on BGK models for gas mixtures of mono and polyatomic molecules.’ Fluids 6.
  • Simon TM. 2021. ‘Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures.’ SIAM Journal on Mathematical Analysis 53, Nr. 4. doi: 10.1137/18M1220017.
  • Simon TM. 2021. ‘Rigidity of branching microstructures in shape memory alloys.’ Archive for Rational Mechanics and Analysis 241: 1707–1783. doi: 10.1007/s00205-021-01679-8.
  • Bernand-Mantel A, Muratov CB, Simon TM. 2021. ‘A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree ±1 harmonic maps from from R² to S².’ Archive for Rational Mechanics and Analysis 239: 219–299. doi: 10.1007/s00205-020-01575-7.
  • Otto, Felix; Sauer, Jonas; Smith, Scott; Weber, Hendrik. 2021 A priori bounds for quasi-linear SPDEs in the full sub-critical regime arXiv. doi: 10.48550/arXiv.2103.11039.
  • Scheel, Arnd; Stevens, Angela; Tenbrock, Christoph. 2021. ‘Signaling gradients in surface dynamics as basis for planarian regeneration.’ Journal of Mathematical Biology 83, Nr. 6. doi: 10.1007/s00285-021-01627-w.
  • Scheel, Arnd; Stevens, Angela. 2021 Regeneration of Tissue: Lessons Learned from Flatworms. SIAM News Blog.
  • Himpe C. 2021. ‘Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms.’ In Model Reduction of Complex Dynamical Systems, edited by Benner P, Breiten T, Faßbender H, Hinze M, Stykel T, Zimmermann R, 141–164. doi: 10.1007/978-3-030-72983-7_7.
  • Himpe C, Grundel S, Benner P. 2021. ‘Model Order Reduction for Gas and Energy Networks.’ Journal of Mathematics in Industry 11: 13. doi: 10.1186/s13362-021-00109-4.
  • Clees T, Baldin A, Benner P, Grundel S, Himpe C, Klaassen B, Küsters F, Marheineke N, Nikitina L, Nikitin I, Pade J, Stahl N, Strohm C, Tischendorf C, Wirsen A. 2021. ‘MathEnergy – Mathematical Key Technologies for Evolving Energy Grids.’ In Mathematical Modeling, Simulation and Optimization for Power Engineering and Management, edited by Göttlich S, Herty M, Milde A, 233–262. doi: 10.1007/978-3-030-62732-4_11.
  • Brunken, Julia. 2021. Stable and efficient Petrov-Galerkin methods for certain (kinetic) transport equations Dissertationsschrift, Universität Münster. N/A: Selbstverlag / Eigenverlag.
  • Buhr Andreas, Iapichino Laura, Ohlberger Mario, Rave Stephan, Schindler Felix, Smetana Kathrin. 2021. ‘Localized model reduction for parameterized problems.’ In Model Order Reduction: Volume 2 Snapshot-Based Methods and Algorithms, edited by Benner P, Grivet-Talocia S, Quarteroni A, Rozza G, Schilders W, Sileira L, 245–306. doi: 10.1515/9783110671490-006.
  • Fehr J, Himpe C, Rave S, Saak J. 2021. ‘Sustainable Research Software Hand-Over.’ Journal of Open Research Software 9, Nr. 1. doi: 10.5334/jors.307/.
  • Leibner T, Ohlberger M. 2021. ‘A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations.’ ESAIM: Mathematical Modelling and Numerical Analysis 55: 2567–2608. doi: 10.1051/m2an/2021065.
  • Bastian P, Blatt M, Dedner A, Dreier N, Engwer C, Fritze R, Gräser C, Kempf D, Klöfkorn R, Ohlberger M, Sander O. 2021. ‘The DUNE Framework: Basic Concepts and Recent Developments.’ Computers & Mathematics with Applications 81: 75–112. doi: 10.1016/j.camwa.2020.06.007.
  • Streitbürger Florian, Engwer Christian, May Sandra, Nüßing Andreas. 2021. ‘Monotonicity considerations for stabilized DG cut cell schemes for the unsteady advection equation.’ Contributed to the ENUMATH2019, Egmond aan Zee, The Netherlands.
  • Dreier Nils-Arne, Engwer Christian. 2021. ‘Strategies for the vectorized Block Conjugate Gradients method.’ Contributed to the ENUMATH2019, Egmond aan Zee, The Netherlands.
  • Schrader S, Westhoff A, Piastra MC, Miinalainen T, Pursiainen S, Vorwerk J, Brinck H, Wolters CH, Engwer C. 2021. ‘DUNEuro- A software toolbox for forward modeling in bioelectromagnetism.’ PloS one 2021. doi: 10.1371/journal.pone.0252431.
  • Dreier Nils-Arne. 2021. Hardware-Oriented Krylov Methods for High-Performance Computing Dissertationsschrift, WWU Münster. N/A: Selbstverlag / Eigenverlag. doi: 10.48550/arXiv.2104.02494.
  • Braunsmann J, Rajkovic M, Rumpf M, Wirth B. 2021. ‘Learning low bending and low distortion manifold embeddings.’ In 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), edited by The Computer Vision Foundation, 4411–4419. New York City: Wiley-IEEE Press.
  • Dirks C, Striewski P, Wirth B, Aalto A, Olguin-Olguin A. 2021. ‘A mathematical model for cell polarization in zebrafish primordial germ cells.’ IMA Mathematical Medicine and Biology 38, Nr. 2: 218–254.
  • Clason C, Lorenz D, Mahler H, Wirth B. 2021. ‘Entropic regularization of continuous optimal transport problems.’ Journal of Mathematical Analysis and Applications 494, Nr. 1: 124432.
  • Clason C, Tameling C, Wirth B. 2021. ‘Convex relaxation of discrete vector-valued optimization problems.’ SIAM Review 63, Nr. 4: 783–821.
  • Hardering H, Wirth B. 2021. ‘Quartic Lp-convergence of cubic Riemannian splines.’ IMA Journal of Numerical Analysis 42, Nr. 4: 3360–3385. doi: 10.1093/imanum/drab077.
  • Seis, Christian. 2021. ‘A note on the vanishing viscosity limit in the Yudovich class.’ Canadian Mathematical Bulletin 64, Nr. 1: 112–122. doi: 10.4153/S0008439520000296.
  • Ceci, Stefano; Seis, Christian. 2021. ‘Vortex dynamics for 2D Euler flows with unbounded vorticity.’ Revista Matematica Iberoamericana 37, Nr. 5: 1969–1990. doi: 10.4171/rmi/1255.
  • Nussenzveig Lopes H. J., Seis C, Wiedemann E. 2021. ‘On the vanishing viscosity limit for 2D incompressible flows with unbounded vorticity.’ Nonlinearity 34, Nr. 5: 3112–3121. doi: 10.1088/1361-6544/abe51f.
  • Beck C, Gonon L, Hutzenthaler M, Jentzen A. 2021. ‘On existence and uniqueness properties for solutions of stochastic fixed point equations.’ Discrete and Continuous Dynamical Systems - Series B 26, Nr. 9: 4927–4962. doi: 10.3934/dcdsb.2020320.
  • Beck C, Becker S, Grohs P, Jaafari N, Jentzen A. 2021. ‘Solving the Kolmogorov PDE by means of deep learning.’ Journal of Scientific Computing 88, Nr. 3: Paper No. 73. doi: 10.1007/s10915-021-01590-0.
  • Beck C, Becker S, Cheridito P, Jentzen A, Neufeld A. 2021. ‘Deep splitting method for parabolic PDEs.’ SIAM Journal on Scientific Computing 43, Nr. 5: A3135–A3154. doi: 10.1137/19M1297919.
  • Ranocha H, Dalcin L, Parsani M, Ketcheson DI. 2021. ‘Optimized Runge-Kutta Methods with Automatic Step Size Control for Compressible Computational Fluid Dynamics.’ Communications on Applied Mathematics and Computation 2021. doi: 10.1007/s42967-021-00159-w.
  • Nüßlein S, Ranocha H, Ketcheson DI. 2021. ‘Positivity-Preserving Adaptive Runge-Kutta Methods.’ Communications in Applied Mathematics and Computational Science 16, Nr. 2: 155–179. doi: 10.2140/camcos.2021.16.155.
  • Ranocha H, Luna M, Ketcheson DI. 2021. ‘On the Rate of Error Growth in Time for Numerical Solutions of Nonlinear Dispersive Wave Equations.’ Partial Differential Equations and Applications 2, Nr. 6: 76. doi: 10.1007/s42985-021-00126-3.
  • Ranocha H. 2021. ‘SummationByPartsOperators.jl: A Julia library of provably stable semidiscretization techniques with mimetic properties.’ Journal of Open Source Software 6, Nr. 64: 3454. doi: 10.21105/joss.03454.
  • Ranocha H, Gassner GJ. 2021. ‘Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes.’ Communications on Applied Mathematics and Computation 2021. doi: 10.1007/s42967-021-00148-z.
  • Ostaszewski K, Glassmeier K, Goetz C, Heinisch P, Henri P, Park SA, Ranocha H, Richter I, Rubin M, Tsurutani B. 2021. ‘Steepening of magnetosonic waves in the inner coma of comet 67P/Churyumov-Gerasimenko.’ Annales Geophysicae 39, Nr. 4: 721–742. doi: 10.5194/angeo-39-721-2021.
  • Jentzen A, Salimova D, Welti T. 2021. ‘A proof that deep artificial neural networks overcome the curse of dimensionality in the numerical approximation of Kolmogorov partial differential equations with constant diffusion and nonlinear drift coefficients.’ Communications in Mathematical Sciences 19, Nr. 5: 1167–1205. doi: 10.4310/CMS.2021.v19.n5.a1.
  • Jentzen A, Lindner F, Pušnik P. 2021. ‘Spatial Sobolev regularity for stochastic Burgers equations with additive trace class noise.’ Nonlinear Analysis: Theory, Methods and Applications 210: Paper No. 112310. doi: 10.1016/j.na.2021.112310.
  • Jentzen A, Kurniawan R. 2021. ‘Weak convergence rates for Euler-type approximations of semilinear stochastic evolution equations with nonlinear diffusion coefficients.’ Foundations of Computational Mathematics 21, Nr. 2: 445–536. doi: 10.1007/s10208-020-09448-x.
  • Jentzen A, Kuckuck B, Müller-Gronbach T, Yaroslavtseva L. 2021. ‘On the strong regularity of degenerate additive noise driven stochastic differential equations with respect to their initial values.’ Journal of Mathematical Analysis and Applications 502, Nr. 2: Paper No. 125240. doi: 10.1016/j.jmaa.2021.125240.
  • Jacobe de Naurois, Ladislas; Jentzen, Arnulf; Welti, Timo. 2021. ‘Weak Convergence Rates for Spatial Spectral Galerkin Approximations of Semilinear Stochastic Wave Equations with Multiplicative Noise.’ Applied Mathematics and Optimization 84, Nr. suppl. 2: 1187–1217. doi: 10.1007/s00245-020-09744-6.
  • E W, Hutzenthaler M, Jentzen A, Kruse T. 2021. ‘Multilevel Picard iterations for solving smooth semilinear parabolic heat equations.’ SN Partial Differential Equations and Applications 2, Nr. 6: Paper No. 80. doi: 10.1007/s42985-021-00089-5.
  • Becker S, Cheridito P, Jentzen A, Welti T. 2021. ‘Solving high-dimensional optimal stopping problems using deep learning.’ European Journal of Applied Mathematics 32, Nr. 3: 470–514. doi: 10.1017/S0956792521000073.
  • Beck C, Hutzenthaler M, Jentzen A. 2021. ‘On nonlinear Feynman-Kac formulas for viscosity solutions of semilinear parabolic partial differential equations.’ Stochastics and Dynamics 21, Nr. 8: Paper No. 2150048, 68 pp. doi: 10.1142/S0219493721500489.
  • Cheridito P, Jentzen A, Rossmannek F. 2021. ‘Non-convergence of stochastic gradient descent in the training of deep neural networks.’ Journal of Complexity 64: Paper No. 101540, 10 pp.
  • Andersson A, Jentzen A, Kurniawan R. 2021. ‘Existence, uniqueness, and regularity for stochastic evolution equations with irregular initial values.’ Journal of Mathematical Analysis and Applications 495, Nr. 1: 124558, 33. doi: 10.1016/j.jmaa.2020.124558.
  • Jentzen A, Kuckuck B, Neufeld A, von Wurstemberger P. 2021. ‘Strong error analysis for stochastic gradient descent optimization algorithms.’ IMA Journal of Numerical Analysis 41, Nr. 1: 455–492. doi: 10.1093/imanum/drz055.
  • Cox S, Hutzenthaler M, Jentzen A, Neerven J, Welti T. 2021. ‘Convergence in Hölder norms with applications to Monte Carlo methods in infinite dimensions.’ IMA Journal of Numerical Analysis 41, Nr. 1: 493–548. doi: 10.1093/imanum/drz063.
  • Seis, Christian; Winkler, Dominik. 2021. ‘A well-posedness result for a system of cross-diffusion equations.’ Journal of Evolution Equations 21, Nr. 2: 2471–2489. doi: 10.1007/s00028-021-00690-6.
  • Ranocha H. 2021. ‘On Strong Stability of Explicit Runge-Kutta Methods for Nonlinear Semibounded Operators.’ IMA Journal of Numerical Analysis 41, Nr. 1: 654–682. doi: 10.1093/imanum/drz070.
  • Rojas D, Boukharfane R, Dalcin L, Fernández DCDR, Ranocha H, Keyes DE, Parsani M. 2021. ‘On the robustness and performance of entropy stable discontinuous collocation methods.’ Journal of Computational Physics 426: 109891. doi: 10.1016/j.jcp.2020.109891.
  • Keil T, Mechelli L, Ohlberger M, Schindler F, Volkwein S. 2021. ‘A non-conforming dual approach for adaptive Trust-Region Reduced Basis approximation of PDE-constrained optimization.’ ESAIM: Mathematical Modelling and Numerical Analysis 55: 1239–1269. doi: 10.1051/m2an/2021019.
  • Schlottke-Lakemper M, Winters AR, Ranocha H, Gassner GJ. 2021. ‘A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics.’ Journal of Computational Physics 2021: 110467. doi: 10.1016/j.jcp.2021.110467.
  • Mitsotakis Dimitrios, Ranocha Hendrik, Ketcheson David I, Süli Endre. 2021. ‘A conservative fully-discrete numerical method for the regularized shallow water wave equations.’ SIAM Journal on Scientific Computing 42. doi: 10.1137/20M1364606.
  • LeFloch PG, Ranocha H. 2021. ‘Kinetic functions for nonclassical shocks, entropy stability, and discrete summation by parts.’ Journal of Scientific Computing 87. doi: 10.1007/s10915-021-01463-6.
  • Ranocha H, Nordström J. 2021. ‘A New Class of A Stable Summation by Parts Time Integration Schemes with Strong Initial Conditions.’ Journal of Scientific Computing 87. doi: 10.1007/s10915-021-01454-7.
  • Ranocha H, Mitsotakis D, Ketcheson DI. 2021. ‘A Broad Class of Conservative Numerical Methods for Dispersive Wave Equations.’ Communications in Computational Physics 29, Nr. 4: 979–1029. doi: 10.4208/cicp.OA-2020-0119.
  • Schlichting André, Seis Christian. 2021. ‘The Scharfetter–Gummel scheme for aggregation–diffusion equations.’ IMA Journal of Numerical Analysis 42, Nr. 3: 2361–2402. doi: 10.1093/imanum/drab039.
  • Eichenberg C, Schlichting A. 2021. ‘Self-similar behavior of the exchange-driven growth model with product kernel.’ Commun. Partial. Differ. Equ. 46, Nr. 3: 498–546. doi: 10.1080/03605302.2020.1845205.
  • Esposito A, Patacchini F, Schlichting A, Slepčev D. 2021. ‘Nonlocal-interaction equation on graphs: gradient flow structure and continuum limit.’ Arch. Ration. Mech. Anal. 2021. doi: 10.1007/s00205-021-01631-w.

  2020

  • Crestetto, Anais; Klingenberg, Christian; Pirner, Marlies. 2020. ‘Kinetic/fluid micro-macro numerical scheme for a two component gas mixture.’ Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 18.
  • Fischer J, Laux T, Simon TM. 2020. ‘Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies.’ SIAM Journal on Mathematical Analysis 52, Nr. 6. doi: 10.1137/20M1322182.
  • Bernand-Mantel A, Muratov CB, Simon TM. 2020. ‘Unraveling the role of dipolar vs. Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions.’ Physical Review B 101, Nr. 4: 045416. doi: 10.1103/PhysRevB.101.045416.
  • Moinat, Augustin; Weber, Hendrik. 2020. ‘Space-time localisation for the dynamic Phi-4/3 model.’ Communications on Pure and Applied Mathematics 73, Nr. 12: 2519–2555. doi: 10.1002/cpa.21925.
  • Tsatsoulis, Pavlos; Weber, Hendrik. 2020. ‘Exponential loss of memory for the 2-dimensional Allen–Cahn equation with small noise.’ Probability Theory and Related Fields 177: 257–322. doi: 10.1007/s00440-019-00945-x.
  • Moinat, Augustin; Weber, Hendrik. 2020. ‘Local bounds for stochastic reaction diffusion equations.’ Electronic Journal of Probability 25: 1–26. doi: 10.1214/19-EJP397.
  • Hilhorst, Danielle; Matano, Hiroshi; Nguyen, Thanh Nam; Weber, Hendrik. 2020. ‘Generation of Interface for Solutions of the Mass Conserved Allen--Cahn Equation.’ SIAM Journal on Mathematical Analysis 52, Nr. 3: 2624–2654. doi: 10.1137/18M1204747.
  • Schlichting, André. 2020. ‘The exchange-driven growth model: basic properties and longtime behavior.’ Journal of Nonlinear Science 30, Nr. 3: 793–830. doi: 10.1007/s00332-019-09592-x.
  • Gvalani RS, Schlichting A. 2020. ‘Barriers of the McKean–Vlasov energy via a mountain pass theorem in the space of probability measures.’ Journal of Functional Analysis 279, Nr. 11: 108720. doi: 10.1016/j.jfa.2020.108720.
  • Erbar, Matthias; Fathi, Max; Schlichting, André. 2020. ‘Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces.’ Alea 17, Nr. 1: 445–471. doi: 10.30757/alea.v17-18.
  • Jentzen A, von Wurstemberger P. 2020. ‘Lower error bounds for the stochastic gradient descent optimization algorithm: Sharp convergence rates for slowly and fast decaying learning rates.’ Journal of Complexity 57: 101438. doi: 10.1016/j.jco.2019.101438.
  • Kaib, Gunnar; Kang, Kyungkeun; Stevens, Angela. 2020. ‘Global minimisers for anisotropic attractive-repulsive interactions.’ European Journal of Applied Mathematics 31, Nr. 5: 854–870. doi: 10.1017/S0956792519000299.
  • Ohlberger Mario, Schweizer Ben, Urban Maik, Verfürth Barbara. 2020. ‘Mathematical analysis of transmission properties of electromagnetic meta-materials.’ Networks and Heterogeneous Media 15, Nr. 1: 29–56. doi: 10.3934/nhm.2020002.
  • Buchfink P, Haasdonk B, Rave S. 2020. ‘PSD-Greedy Basis Generation for Structure-Preserving Model Order Reduction of Hamiltonian Systems.’ Contributed to the ALGORITMY 2020, Vysoké Tatry.
  • Anzt H, Bach F, Druskat S, Löffler F, Loewe A, Renard B, Seemann G, Struck A, Achhammer E, Aggarwal P, Appel F, Bader M, Brusch L, Busse C, Chourdakis G, Dabrowski P, Ebert P, Flemisch B, Friedl S, Fritzsch B, Funk M, Gast V, Goth F, Grad J, Hermann S, Hohmann F, Janosch S, Kutra D, Linxweiler J, Muth T, Peters-Kottig W, Rack F, Raters F, Rave S, Reina G, Reißig M, Ropinski T, Schaarschmidt J, Seibold H, Thiele J, Uekermann B, Unger S, Weeber R. 2020. ‘An environment for sustainable research software in Germany and beyond: current state, open challenges, and call for action.’ F1000Research 9, Nr. 295. doi: 10.12688/f1000research.23224.1.
  • Schneider Florian, Leibner Tobias. 2020. ‘First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: Model derivation and realizability theory.’ Journal of Computational Physics 416: 109547. doi: 10.1016/j.jcp.2020.109547.
  • Bastian P, Altenbernd M, Dreier N, Engwer C, Fahlke J, Fritze R, Geveler M, Göddeke D, Iliev O, Ippisch O, Mohring J, Müthing S, Ohlberger M, Ribbrock D, Shegunov N, Turek S. 2020. ‘Exa-Dune -- Flexible PDE Solvers, Numerical Methods and Applications.’ In Software for Exascale Computing - SPPEXA 2016-2019, edited by Bungartz Hans-Joachim, Reiz Severin. Uekermann Benjamin, Neumann Philipp, Nagel Wolfgang E, 225–269. Basel : Springer International Publishing. doi: 10.1007/978-3-030-47956-5_9.
  • Heeren B, Paulus S, Goldbach H, Kuhlmann H, Mahlein A-K, Rumpf M, Wirth B. 2020. ‘Statistical shape analysis of tap roots: a methodological case study on laser scanned sugar beets.’ BMC Bioinformatics 21, Nr. 335.
  • Repple J, Mauritz M, Meinert S, de Lange SC, Grotegerd D, Opel N, Redlich R, Hahn T, Förster K, Leehr EJ, Winter N, Goltermann J, Enneking V, Fingas SM, Lemke H, Waltemate L, Nenadic I, Krug A, Brosch K, Schmitt S, Stein F, Meller T, Jansen A, Steinsträter O, Baune BT, Kircher T, Dannlowski U*, van den Heuvel MP* (*equal contribution). 2020. ‘Severity of current depression and remission status are associated with structural connectome alterations in major depressive disorder .’ Molecular Psychiatry 25. doi: 10.1038/s41380-019-0603-1.
  • Heeren B, Rumpf M, Wardetzky M, Wirth B. 2020. ‘Discrete Riemannian calculus on shell space.’ In Geometric Partial Differential Equations - Part I, edited by Bonito A, Nochetto RH, 621–679. Amsterdam: Elsevier. doi: 10.1016/bs.hna.2019.06.005.
  • Böttcher U, Wirth B. 2020. ‘Convex Lifting-Type Methods for Curvature Regularization.’ In Handbook of Variational Methods for Nonlinear Geometric Data, edited by Grohs P, Holler M, Weinmann A, 207–233. Basel : Springer International Publishing. doi: 10.1007/978-3-030-31351-7_7.
  • Schmitzer B, Schäfers KP, Wirth B. 2020. ‘Dynamic Cell Imaging in PET With Optimal Transport Regularization.’ IEEE Transactions on Medical Imaging 39, Nr. 5: 1626–1635. doi: 10.1109/TMI.2019.2953773.
  • Ferrari L, Dirks C, Wirth B. 2020. ‘Phase field approximations of branched transportation problems.’ Calculus of Variations and Partial Differential Equations 59, Nr. 1: Paper No. 37, 34. doi: 10.1007/s00526-019-1680-3.
  • Wirth B. 2020. ‘Green's function for the Neumann-Poisson problem on n-dimensional balls.’ American Mathematical Monthly 127, Nr. 8: 737–743.
  • Friedrich M, Stefanelli U. 2020. ‘Ripples in graphene: A variational approach.’ Comm. Math. Phys. 379.
  • Friedrich M, Stefanelli U. 2020. ‘Crystallization in a one-dimensional periodic landscape.’ J. Stat.Phys. 179.
  • Crismale V, Friedrich M. 2020. ‘Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity.’ Arch. Ration. Mech. Anal. 237.
  • Davoli E, Friedrich M. 2020. ‘Two-well rigidity and multidimensional sharp-interface limits for Solid-Solid phase transitions.’ Calc. Var. PDE 59.
  • Friedrich M, Kreutz L. 2020. ‘Finite crystallization and Wulff shape emergence for ionic compounds in the square lattice.’ Nonlinearity 33.
  • Friedrich M, F. Solombrino F. 2020. ‘Functionals defined on piecewise rigid functions: Integral representation and Gamma-convergence.’ Arch. Ration. Mech. Anal. 236.
  • Seis, Christian. 2020. ‘On the Littlewood-Paley spectrum for passive scalar transport equations.’ Journal of Nonlinear Science 30, Nr. 2: 645–656. doi: 10.1007/s00332-019-09585-w.
  • Becker S, Cheridito P, Jentzen A. 2020. ‘Pricing and Hedging American-Style Options with Deep Learning.’ Journal of Risk and Financial Management 13, Nr. 7: 158. doi: 10.3390/jrfm13070158.
  • Fehrman B, Gess B, Jentzen A. 2020. ‘Convergence rates for the stochastic gradient descent method for non-convex objective functions.’ Journal of Machine Learning Research 21: Paper No. 136, 48.
  • Jentzen A, Pušnik P. 2020. ‘Strong convergence rates for an explicit numerical approximation method for stochastic evolution equations with non-globally Lipschitz continuous nonlinearities.’ IMA Journal of Numerical Analysis 40, Nr. 2: 1005–1050. doi: 10.1093/imanum/drz009.
  • Berner J, Grohs P, Jentzen A. 2020. ‘Analysis of the generalization error: empirical risk minimization over deep artificial neural networks overcomes the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations.’ SIAM Journal on Mathematics of Data Science 2, Nr. 3: 631–657. doi: 10.1137/19M125649X.
  • Hutzenthaler, M.; Jentzen, A.; von Wurstemberger, P. 2020. ‘Overcoming the curse of dimensionality in the approximative pricing of financial derivatives with default risks.’ Electronic Journal of Probability 25: 101. doi: 10.1214/20-EJP423.
  • Becker S, Gess B, Jentzen A, Kloeden PE. 2020. ‘Lower and upper bounds for strong approximation errors for numerical approximations of stochastic heat equations.’ BIT Numerical Mathematics 60, Nr. 4: 1057–1073. doi: 10.1007/s10543-020-00807-2.
  • Becker S, Braunwarth R, Hutzenthaler M, Jentzen A, von Wurstemberger P. 2020. ‘Numerical simulations for full history recursive multilevel Picard approximations for systems of high-dimensional partial differential equations.’ Communications in Computational Physics 28, Nr. 5: 2109–2138. doi: 10.4208/cicp.oa-2020-0130.
  • Jentzen A, Lindner F, Pušnik P. 2020. ‘Exponential moment bounds and strong convergence rates for tamed-truncated numerical approximations of stochastic convolutions.’ Numerical Algorithms 85, Nr. 4: 1447–1473. doi: 10.1007/s11075-019-00871-y.
  • Beck C, Hornung F, Hutzenthaler M, Jentzen A, Kruse T. 2020. ‘Overcoming the curse of dimensionality in the numerical approximation of Allen-Cahn partial differential equations via truncated full-history recursive multilevel Picard approximations.’ Journal of Numerical Mathematics 28, Nr. 4: 197–222. doi: 10.1515/jnma-2019-0074.
  • Hutzenthaler M, Jentzen A, Kruse T, Nguyen TA, von Wurstemberger P. 2020. ‘Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations.’ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, Nr. 2244: 630–654. doi: 10.1098/rspa.2019.0630.
  • Hutzenthaler M, Jentzen A. 2020. ‘On a perturbation theory and on strong convergence rates for stochastic ordinary and partial differential equations with nonglobally monotone coefficients.’ Annals of Probability 48, Nr. 1: 53–93. doi: 10.1214/19-AOP1345.
  • Abgrall R, Mélédo El, Öffner P, Ranocha H. 2020. ‘Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes.’ In Hyperbolic Problems: Theory, Numerics, Applications, edited by Bressan A, Lewicka M, Wang D, Zheng Y, 215–222. Heidelberg: Springer.
  • Heinisch P, Ostaszewski K, Ranocha H. 2020. ‘Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL.’ In Proceedings of the International Workshop on OpenCL. New York, NY: ACM Press. doi: 10.1145/3388333.3403035.
  • Ranocha H. 2020. ‘Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators.’ In Spectral and High Order Methods for Partial Differential Equations {ICOSAHOM} 2018, edited by Sherwin SJ, Moxey D, Peiró J, Vincent PE, Schwab C, 525–535. Heidelberg: Springer. doi: 10.1007/978-3-030-39647-3_42.
  • Ranocha H, Ostaszewski K, Heinisch P. 2020. ‘Discrete Vector Calculus and Helmholtz Hodge Decomposition for Classical Finite Difference Summation by Parts Operators.’ Communications on Applied Mathematics and Computation 2: 581–611. doi: 10.1007/s42967-019-00057-2.
  • Ranocha H, Sayyari M, Dalcin L, Parsani M, Ketcheson DI. 2020. ‘Relaxation Runge-Kutta Methods: Fully-Discrete Explicit Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations.’ SIAM Journal on Scientific Computing 42, Nr. 2: A612–A638. doi: 10.1137/19M1263480.
  • Öffner P, Glaubitz J, Ranocha H. 2020. ‘Analysis of Artificial Dissipation of Explicit and Implicit Time-Integration Methods.’ International Journal of Numerical Analysis and Modeling 17, Nr. 3: 332–349.
  • Ranocha H, Ketcheson DI. 2020. ‘Relaxation Runge-Kutta Methods for Hamiltonian Problems.’ Journal of Scientific Computing 84, Nr. 1. doi: 10.1007/s10915-020-01277-y.
  • Ranocha H, Dalcin L, Parsani M. 2020. ‘Fully-Discrete Explicit Locally Entropy-Stable Schemes for the Compressible Euler and Navier-Stokes Equations.’ Computers and Mathematics with Applications 80, Nr. 5: 1343–1359. doi: 10.1016/j.camwa.2020.06.016.
  • Ranocha H, Lóczi L, Ketcheson DI. 2020. ‘General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes.’ Numerische Mathematik 146. doi: 10.1007/s00211-020-01158-4.
  • Ketcheson DI, Parsani M, Grant ZJ, Ahmadia A, Ranocha H. 2020. ‘RK-Opt: A package for the design of numerical ODE solvers.’ Journal of Open Source Software 5, Nr. 54: 2514. doi: 10.21105/joss.02514.
  • Ranocha H, Ketcheson DI. 2020. ‘Energy Stability of Explicit Runge-Kutta Methods for Nonautonomous or Nonlinear Problems.’ SIAM Journal on Numerical Analysis 58, Nr. 6: 3382–3405. doi: 10.1137/19M1290346.
  • Ketcheson DI, Ranocha H, Parsani M, Waheed U, Hadjimichael Y. 2020. ‘NodePy: A package for the analysis of numerical ODE solvers.’ Journal of Open Source Software 5, Nr. 55: 2515. doi: 10.21105/joss.02515.
  • Hutzenthaler M, Jentzen A, Kruse T, Nguyen TA. 2020. ‘A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations.’ SN Partial Differential Equations and Applications 1, Nr. 2: 10. doi: 10.1007/s42985-019-0006-9.
  • Hellman Fredrik, Keil Tim, Målqvist Axel. 2020. ‘Numerical Upscaling of Perturbed Diffusion Problems.’ SIAM Journal on Scientific Computing 2020, Nr. Volume 42, Issue 4: A2014–A2036. doi: 10.1137/19M1278211.
  • Bach A, Sommer L. 2020. ‘A Gamma-convergence result for fluid-filled fracture propagationDO - 10.1051/m2an/2020016.’ ESAIM: Mathematical Modelling and Numerical Analysis 54, Nr. 3. doi: 10.1051/m2an/2020016.

  2019

  • Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella. 2019. ‘A consistent kinetic model for a two-component mixture of polyatomic molecules.’ Communications in Mathematical Sciences 17.
  • Liu, Liu; Pirner, Marlies. 2019. ‘Hypocoercivity for a BGK model for gas mixtures.’ Journal of Differential Equations 267.
  • Otto, Felix; Weber, Hendrik. 2019. ‘Quasi-linear SPDEs in divergence form.’ Stochastics and Partial Differential Equations: Analysis and Computations 7, Nr. 1: 64–85. doi: 10.1007/s40072-018-0122-0.
  • Otto, Felix; Weber, Hendrik. 2019. ‘Quasilinear SPDEs via Rough Paths.’ Archive for Rational Mechanics and Analysis 232, Nr. 2: 873–950. doi: 10.1007/s00205-018-01335-8.
  • Muratov CB, Simon TM. 2019. ‘A nonlocal isoperimetric problem with dipolar repulsion.’ Communications in Mathematical Physics 372: 1059–1115. doi: 10.1007/s00220-019-03455-y.
  • Conlon JG, Schlichting A. 2019. ‘A non-local problem for the Fokker-Planck equation related to the Becker-Döring model.’ Discrete and Continuous Dynamical Systems - Series A 39, Nr. 4: 1821–1889. doi: 10.3934/dcds.2019079.
  • Schlichting A. 2019. ‘Macroscopic limit of the Becker-Döring equation via gradient flows.’ ESAIM: Control, Optimisation and Calculus of Variations 25, Nr. 22: 36. doi: 10.1051/cocv/2018011.
  • Schlichting A. 2019. ‘Poincaré and Log–Sobolev Inequalities for Mixtures.’ Entropy 21, Nr. 1: 89. doi: 10.3390/e21010089.
  • Schlichting A, Slowik M. 2019. ‘Poincaré and logarithmic Sobolev constants for metastable Markov chains via capacitary inequalities.’ Annals of Applied Probability 29, Nr. 6: 3438–3488. doi: 10.1214/19-AAP1484.
  • Carrillo JA, Gvalani RS, Pavliotis GA, Schlichting A. 2019. ‘Long-Time Behaviour and Phase Transitions for the McKean-Vlasov Equation on the Torus.’ Archive for Rational Mechanics and Analysis 235, Nr. 1: 635–690. doi: 10.1007/s00205-019-01430-4.
  • Jentzen A, Salimova D, Welti T. 2019. ‘Strong convergence for explicit space-time discrete numerical approximation methods for stochastic Burgers equations.’ Journal of Mathematical Analysis and Applications 469, Nr. 2: 661–704. doi: 10.1016/j.jmaa.2018.09.032.
  • Hefter M, Jentzen A. 2019. ‘On arbitrarily slow convergence rates for strong numerical approximations of Cox-Ingersoll-Ross processes and squared Bessel processes.’ Finance and Stochastics 23, Nr. 1: 139–172. doi: 10.1007/s00780-018-0375-5.
  • Becker S, Jentzen A. 2019. ‘Strong convergence rates for nonlinearity-truncated Euler-type approximations of stochastic Ginzburg-Landau equations.’ Stochastic Processes and their Applications 129, Nr. 1: 28–69. doi: 10.1016/j.spa.2018.02.008.
  • Conus D, Jentzen A, Kurniawan R. 2019. ‘Weak convergence rates of spectral Galerkin approximations for SPDEs with nonlinear diffusion coefficients.’ Annals of Applied Probability 29, Nr. 2: 653–716. doi: 10.1214/17-AAP1352.
  • Andersson A, Hefter M, Jentzen A, Kurniawan R. 2019. ‘Regularity properties for solutions of infinite dimensional Kolmogorov equations in Hilbert spaces.’ Potential Analysis 50, Nr. 3: 347–379. doi: 10.1007/s11118-018-9685-7.
  • E W, Hutzenthaler M, Jentzen A, Kruse T. 2019. ‘On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations.’ Journal of Scientific Computing 79, Nr. 3: 1534–1571. doi: 10.1007/s10915-018-00903-0.
  • Becker S, Cheridito P, Jentzen A. 2019. ‘Deep optimal stopping.’ Journal of Machine Learning Research 20: Paper No. 74, 25.
  • Jentzen A, Lindner F, Pušnik P. 2019. ‘On the Alekseev-Gröbner formula in Banach spaces.’ Discrete and Continuous Dynamical Systems - Series B 24, Nr. 8: 4475–4511. doi: 10.3934/dcdsb.2019128.
  • Beck C, E W, Jentzen A. 2019. ‘Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations.’ Journal of Nonlinear Science 29, Nr. 4: 1563–1619. doi: 10.1007/s00332-018-9525-3.
  • Da Prato G, Jentzen A, Röckner M. 2019. ‘A mild Itô formula for SPDEs.’ Transactions of the American Mathematical Society 372, Nr. 6: 3755–3807. doi: 10.1090/tran/7165.
  • Cagnetti F, Dal Maso G, Scardia L, Zeppieri C I. 2019. ‘Gamma-convergence of free-discontinuity problems.’ Ann. Inst. H. Poincaré Anal. Non Linéaire 36: 1035–1079.
  • Cagnetti F, Dal Maso G, Scardia L, Zeppieri C I. 2019. ‘Stochastic homogenisation of free-discontinuity problems.’ Arch. Ration. Mech. Anal. 233: 935–974.
  • Pellet X, Scardia L, Zeppieri C I. 2019. ‘Homogenization of high-contrast Mumford-Shah energies.’ SIAM J. Math. Anal. 51: 1696–1729.
  • Kang, Kyungkeun; Scheel, Arnd; Stevens, Angela. 2019. ‘Global phase diagrams of run-and-tumble dynamics: equidistribution, waves, and blowup.’ Nonlinearity 32, Nr. 6. doi: 10.1088/1361-6544/ab046d.
  • Benner P, Himpe C. 2019. ‘Cross-Gramian-Based Dominant Subspaces.’ Advances in Computational Mathematics 45, Nr. 5: 2533–2553. doi: 10.1007/s10444-019-09724-7.
  • Grundel S, Himpe C, Saak J. 2019. ‘On Empirical System Gramians.’ Contributed to the 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Wien, Österrreich. doi: 10.1002/pamm.201900006.
  • Lehrenfeld Christoph, Rave Stephan. 2019. ‘Mass Conservative Reduced Order Modeling of a Free Boundary Osmotic Cell Swelling Problem.’ Advances in Computational Mathematics 45, Nr. 5: 2215–2239. doi: 10.1007/s10444-019-09691-z.
  • Brunken Julia, Smetana Kathrin, Urban Karsten. 2019. ‘(Parametrized) First Order Transport Equations: Realization of Optimally Stable Petrov-Galerkin Methods.’ SIAM Journal on Scientific Computing 41, Nr. 1. doi: 10.1137/18M1176269.
  • Hain S, Ohlberger M, Radic M, Urban K. 2019. ‘A Hierarchical A-Posteriori Error Estimatorfor the Reduced Basis Method.’ Advances in Computational Mathematics 45: 2191–2214. doi: 10.1007/s10444-019-09675-z.
  • Balicki L, Mlinarić P, Rave S, Saak J. 2019. ‘System-theoretic model order reduction with pyMOR.’ PAMM 19. doi: 10.1002/pamm.201900459.
  • Hellman Fredrik, Keil Tim, Målqvist Axel. 2019. ‘Multiscale methods for perturbed diffusion problems.’ Oberwolfach Reports 16: 2099–2181. doi: 10.4171/OWR/2019/35.
  • Julia Schleuß. 2019. Optimal local approximation spaces for parabolic problems (Master's thesis).
  • Rave Stephan, Schindler Felix. 2019. ‘A locally conservative reduced flux reconstruction for elliptic problems.’ In Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), edited by Eberhardsteiner J, Schöberl M.: Wiley. doi: 10.1002/pamm.201900026.
  • Feinauer J, Hein S, Rave S, Schmidt S, Westhoff D, Zausch J, Iliev O, Latz A, Ohlberger M, Schmidt V. 2019. ‘MULTIBAT: Unified workflow for fast electrochemical 3D simulations of lithium-ion cells combining virtual stochastic microstructures, electrochemical degradation models and model order reduction.’ Journal of Computational Science 31: 172–184. doi: 10.1016/j.jocs.2018.03.006.
  • Ohlberger M, Buhr A, Eikhorn D, Engwer C, Rave S. 2019. ‘Advances in Model Order Reduction for Large Scale or Multi-Scale Problems.’ Oberwolfach Reports 16, Nr. 3: 2510–2512. doi: 10.4171/OWR/2019/40.
  • Sommer Liesel. 2019. An unfitted discontinuous Galerkin scheme for a phase-field approximation of pressurized fractures.
  • Schmitzer B, Wirth B. 2019. ‘A framework for Wasserstein-1-type metrics.’ Journal of Convex Analysis 26, Nr. 2: 353–396.
  • Schmitzer B, Wirth B. 2019. ‘Dynamic Models of Wasserstein-1-Type Unbalanced Transport.’ ESAIM: Control, Optimisation and Calculus of Variations 25: 23.
  • Heeren B, Rumpf M, Wirth B. 2019. ‘Variational time discretization of Riemannian splines.’ IMA Journal of Numerical Analysis 26, Nr. 2: 353–396. doi: 10.1093/imanum/drx077.
  • Marchese A, Wirth B. 2019. ‘Approximation of rectifiable 1-currents and weak-{$\ast$} relaxation of the {$h$}-mass.’ Journal of Mathematical Analysis and Applications 479, Nr. 2: 2268–2283. doi: 10.1016/j.jmaa.2019.07.059.
  • Wirth B. 2019. ‘Phase field models for two-dimensional branched transportation problems.’ Calculus of Variations and Partial Differential Equations 58, Nr. 5: Paper No. 164, 31. doi: 10.1007/s00526-019-1615-z.
  • Dondl PW, Novaga M, Wirth B, Wojtowytsch S. 2019. ‘A phase-field approximation of the perimeter under a connectedness constraint.’ SIAM Journal on Mathematical Analysis 51, Nr. 5: 3902–3920. doi: 10.1137/18M1225197.
  • Taha M, Aldirawi M, März S, Seebach J, Odenthal-Schnittler M, Bondareva O, Bojovic V, Schmandra T, Wirth B, Mietkowska M, Rottner K, Schnittler H. 2019. ‘EPLIN-α and -β isoforms modulate endothelial cell dynamics through a spatio-temporally differentiated interaction with actin.’ Cell Reports 29, Nr. 4: P1010–1026.E6.
  • Friedrich M, Mainini E, Piovano P, Stefanelli U. 2019. ‘Characterization of optimal carbon nanotubes under stretching and validation of the Cauchy-Born rule.’ Arch. Ration. Mech. Anal. 231.
  • Friedrich M. 2019. ‘Griffith energies as small strain limit of nonlinear models for nonsimple brittle materials.’ Mathematics in Engineering 2.
  • Friedrich M, Kreutz L. 2019. ‘Crystallization in the hexagonal lattice for ionic dimers.’ Math. Models Methods Appl. Sci. 29.
  • Friedrich M. 2019. ‘A compactness result in GSBV^p and applications to Gamma-convergence for free discontinuity problems.’ Calc. Var. PDE 68.
  • Ranocha H. 2019. ‘Mimetic Properties of Difference Operators: Product and Chain Rules as for Functions of Bounded Variation and Entropy Stability of Second Derivatives.’ BIT Numerical Mathematics 59, Nr. 2: 547–563. doi: 10.1007/s10543-018-0736-7.
  • Öffner P, Ranocha H. 2019. ‘Error Boundedness of Discontinuous Galerkin Methods with Variable Coefficients.’ Journal of Scientific Computing 79, Nr. 3: 1572–1607. doi: 10.1007/s10915-018-00902-1.
  • Öffner P, Glaubitz J, Ranocha H. 2019. ‘Stability of Correction Procedure via Reconstruction With Summation-by-Parts Operators for Burgers' Equation Using a Polynomial Chaos Approach.’ ESAIM: Mathematical Modelling and Numerical Analysis (ESAIM: M2AN) 52, Nr. 6: 2215–2245. doi: 10.1051/m2an/2018072.
  • Ranocha H. 2019. ‘Some Notes on Summation by Parts Time Integration Methods.’ Results in Applied Mathematics 1: 100004. doi: 10.1016/j.rinam.2019.100004.

  2018

  • Pirner, Marlies. 2018. On kinetic modelling of gas mixtures Dissertationsschrift, Universität Würzburg. Würzburg University Press.
  • Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella. 2018. ‘Kinetic ES-BGK models for a multi-component gas mixture.’ In Theory, Numerics and Applications of Hyperbolic Problems, edited by Klingenberg, Christian; Westdickenberg, Michael, 195–208. Heidelberg: Springer.
  • Li, Qin; Klingenberg, Christian; Pirner, Marlies. 2018. ‘On quantifying uncertainties for the linearized BGK kinetic equation.’ In Theory, Numerics and Applications of Hyperbolic Problems, edited by Klingenberg, Christian; Westdickenberg, Michael, 179–193. Heidelberg: Springer.
  • Klingenberg, Christian; Pirner, Marlies. 2018. ‘Existence, Uniqueness and Positivity of solutions for BGK models for mixtures.’ Journal of Differential Equations 265.
  • Pirner, Marlies. 2018. ‘A BGK model for gas mixtures of polyatomic molecules allowing for slow and fast relaxation of the temperatures.’ Journal of Statistical Physics 173.
  • Tsatsoulis, Pavlos; Weber, Hendrik. 2018. ‘Spectral gap for the stochastic quantization equation on the 2-dimensional torus.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 54, Nr. 3: 1204–1249. doi: 10.1214/17-AIHP837.
  • Debussche, Arnaud; Weber, Hendrik. 2018. ‘The Schrodinger equation with spatial white noise potential.’ Electronic Journal of Probability 23: 1–16. doi: 10.1214/18-EJP143.
  • Otto, Felix; Sauer, Jonas; Smith, Scott; Weber, Hendrik. 2018 Parabolic equations with rough coefficients and singular forcing arXiv. doi: 10.48550/arXiv.1803.07884.
  • Simon TM. 2018. Materials Science-inspired problems in the Calculus of Variations: Rigidity of shape memory alloys and multi-phase mean curvature flow Dissertationsschrift, Universität Leipzig. N/A: Selbstverlag / Eigenverlag.
  • Laux T, Simon TM. 2018. ‘Convergence of the Allen-Cahn equation to multi-phase mean curvature flow.’ Communications on Pure and Applied Mathematics 71, Nr. 8: 1597–1647. doi: 10.1002/cpa.21747.
  • Ayala D, Doering CR, Simon TM. 2018. ‘Maximum palinstrophy amplification in the two-dimensional Navier-Stokes equations.’ Journal of Fluid Mechanics 837: 839–857. doi: 10.1017/jfm.2017.874.
  • Shen, Hao; Weber, Hendrik. 2018. ‘Glauber dynamics of 2D Kac-Blume-Capel model and their stochastic PDE limits.’ Journal of Functional Analysis 275, Nr. 6: 1321–1367. doi: 10.1016/j.jfa.2017.12.014.
  • Duong MH, Lamacz A, Peletier MA, Schlichting A, Sharma U. 2018. ‘Quantification of coarse-graining error in Langevin and overdamped Langevin dynamics.’ Nonlinearity 31, Nr. 10: 4517–4566. doi: 10.1088/1361-6544/aaced5.
  • Conlon JG, Schlichting A. 2018. ‘A non-local Fokker-Planck equation related to nucleation and coarsening.’ In Oberwolfach Reports Interplay Anal. Probab. Appl. Math., edited by Betz V, Dirr N, König W, Theil F, 311–381.: European Mathematical Society Publishing House. doi: 10.4171/OWR/2018/6.
  • Hutzenthaler M, Jentzen A, Wang X. 2018. ‘Exponential integrability properties of numerical approximation processes for nonlinear stochastic differential equations.’ Mathematics of Computation 87, Nr. 311: 1353–1413. doi: 10.1090/mcom/3146.
  • Naurois L, Jentzen A, Welti T. 2018. ‘Lower bounds for weak approximation errors for spatial spectral Galerkin approximations of stochastic wave equations.’ In Stochastic partial differential equations and related fields, edited by Eberle A., Grothaus M., Hoh W., Kassmann M., Stannat W., Trutnau G., 237–248. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-319-74929-7_13.
  • Han J, Jentzen A, E W. 2018. ‘Solving high-dimensional partial differential equations using deep learning.’ Proceedings of the National Academy of Sciences of the United States of America 115, Nr. 34: 8505–8510. doi: 10.1073/pnas.1718942115.
  • Jentzen A, Pušnik P. 2018. ‘Exponential moments for numerical approximations of stochastic partial differential equations.’ Stochastics and Partial Differential Equations: Analysis and Computations 6, Nr. 4: 565–617. doi: 10.1007/s40072-018-0116-y.
  • Cox S, Jentzen A, Kurniawan R, Pušnik P. 2018. ‘On the mild Itô formula in Banach spaces.’ Discrete and Continuous Dynamical Systems - Series B 23, Nr. 6: 2217–2243. doi: 10.3934/dcdsb.2018232.
  • Hutzenthaler M, Jentzen A, Salimova D. 2018. ‘Strong convergence of full-discrete nonlinearity-truncated accelerated exponential Euler-type approximations for stochastic Kuramoto-Sivashinsky equations.’ Communications in Mathematical Sciences 16, Nr. 6: 1489–1529. doi: 10.4310/CMS.2018.v16.n6.a2.
  • Burger, Martin; DiFrancesco, Marco; Fagioli, Simone; Stevens, Angela. 2018. ‘Sorting phenomena in a mathematical model for two mutually attracting/repelling species.’ Siam Journal on Mathematical Analysis 50, Nr. 3: 3210–3250. doi: 10.1137/17M1125716.
  • Ambrosi, Davide; Liu, Chun; Röger, Matthias; Stevens, Angela (Eds.): 2018. The Mathematics of Mechanobiology and Cell Signaling. Oberwolfach: Mathematisches Forschungsinstitut Oberwolfach. doi: 10.14760/OWR-2018-8.
  • Benner P, Himpe C, Mitchell T. 2018. ‘On Reduced Input-Output Dynamic Mode Decomposition.’ Advances in Computational Mathematics 44, Nr. 6: 1751–1768. doi: 10.1007/s10444-018-9592-x.
  • Benner P, Grundel S, Himpe C, Huck C, Streubel T, Tischendorf C. 2018. ‘Gas Network Benchmark Models.’ In Applications of Differential-Algebraic Equations: Examples and Benchmarks, edited by Campbell S, Ilchmann A, Mehrmann V, Reis T, 171–197. doi: 10.1007/11221_2018_5.
  • Himpe C. 2018. ‘emgr - The Empirical Gramian Framework.’ Algorithms 11, Nr. 7: 91. doi: 10.3390/a11070091.
  • Benner P, Grundel S, Himpe C. „Parametric Model Order Reduction for Gas Flow Models.“ contributed to the MoRePaS 4 - Model Reduction for Parameterized Systems, Nantes, Frankreich, 2018. doi: 10.14293/P2199-8442.1.SOP-MATH.EJOCET.v1.
  • Himpe C, Leibner T, Rave S. „HAPOD - Fast, Simple and Reliable Distributed POD Computation.“ contributed to the MATHMOD 2018- 9th Vienna International Conference on Mathematical Modelling, Vienna, 2018. doi: 10.11128/arep.55.a55283.
  • Kottke, Kathrin; Deninger, Christopher; Ohlberger, Mario. 2018. „Mathematik Münster: Dynamik – Geometrie – Struktur.“ Mitteilungen der Deutschen Mathematiker-Vereinigung 26, Nr. 4: 189–193. doi: 10.1515/dmvm-2018-0058.
  • Verfürth B. 2018. Numerical multiscale methods for Maxwell's equations in heterogeneous media Dissertationsschrift, Universität Münster.
  • Dennis Eickhorn. 2018. Randomisierte lokalisierte Modellreduktion mit Robin-Transferoperator (Masterarbeit).
  • Ohlberger Mario, Rave Stephan, Schindler Felix, Wedemeier Tobias. 2018. ‘Model reduction for parameterized systems and inverse problems.’ Oberwolfach Reports 2018, Nr. 39: 2454–2457. doi: 10.4171/OWR/2018/39.
  • Gallistl D, Henning P, Verfürth B. 2018. ‘Numerical homogenization of H(curl)-problems.’ SIAM J. Numer. Anal. 56, Nr. 3: 1570–1596. doi: 10.1137/17M1133932.
  • Ohlberger M, Verfürth B. 2018. ‘A new Heterogeneous Multiscale Method for the Helmholtz equation with high contrast .’ Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 16, Nr. 1: 385–411. doi: 10.1137/16M1108820.
  • Dreier Nils-Arne, Engwer Christian, Hartmann Dirk. 2018. ‘Galerkin local maximum entropy method.’ International Journal for Numerical Methods in Fluids . doi: 10.1002/fld.4513.
  • Engwer Christian, Altenbernd Mirco, Dreier Nils-Arne, Dominik Göddeke. 2018. ‘A high-level C++ approach to manage local errors, asynchrony and faults in an MPI application.’ Contributed to the 26th Euromicro International Conference on Parallel, Distributed and Network-based Processing, Cambridge, Vereinigtes Königreich. doi: 10.1109/PDP2018.2018.00117.
  • Himpe C, Leibner T, Rave S. 2018. ‘Hierarchical Approximate Proper Orthogonal Decomposition.’ SIAM Journal on Scientific Computing 40, Nr. 5: A3267–A3292.
  • Ohlberger Mario, Schaefer Michael, Schindler Felix. 2018. ‘Localized Model Reduction in PDE Constrained Optimization.’ In Shape Optimization, Homogenization and Optimal Control – DFG-AIMS workshop held at the AIMS Center Senegal, March 13-16, 2017 , edited by Schulz V, Seck D, 143–163. Basel: Birkhäuser Verlag. doi: 10.1007/978-3-319-90469-6_8.
  • Clason C, Tameling C, Wirth B. 2018. ‘Vector-valued multibang control of differential equations.’ SIAM Journal on Control and Optimization 56, Nr. 3: 2295–2326.
  • Brancolini A, Rossmanith C, Wirth B. 2018. ‘Optimal micropatterns in 2D transport networks and their relation to image inpainting.’ Archive for Rational Mechanics and Analysis 228, Nr. 1: 279–308.
  • Brancolini A, Wirth B. 2018. ‘General transport problems with branched minimizers as functionals of 1-currents with prescribed boundary.’ Calculus of Variations and Partial Differential Equations 57, Nr. 3: Paper No. 82, 39. doi: 10.1007/s00526-018-1364-4.
  • Böhm C, Wirth B. 2018. „Mathematik Münster: Dynamik, Geometrie, Struktur. Beispiele einer geometrischen Sichtweise.“ Mitteilungen der Deutschen Mathematiker-Vereinigung 26, Nr. 4.
  • Friedrich M, Stefanelli U. 2018. ‘Graphene ground states.’ Z. Angew. Math. Phys. 69.
  • Friedrich M, Kruzik M. 2018. ‘On the passage from nonlinear to linearized viscoelasticity.’ SIAM J. Math. Anal. 50.
  • Friedrich M. 2018. A piecewise Korn inequality in SBD and applications to embedding and density results.
  • Friedrich M, Solombrino F. 2018. ‘Quasistatic crack growth in 2d-linearized elasticity.’ Ann. Inst. H. Poincaré Anal. Non Linéaire 35: 27–64. doi: 10.1016/j.anihpc.2017.03.002.
  • Friedrich M. 2018. ‘On a decomposition of regular domains into John domains with uniform constants.’ ESAIM Control Optim. Calc. Var. 24. doi: 10.1051/cocv/2017029.
  • Li G., Peterseim D., Schedensack M. 2018. ‘Error analysis of a variational multiscale stabilization for convection-dominated diffusion equations in two dimensions.’ IMA Journal of Numerical Analysis 38, Nr. 3: 1229–1253. doi: 10.1093/imanum/drx027.
  • Hu Jun, Schedensack Mira. 2018. ‘Two low-order nonconforming finite element methods for the Stokes flow in 3D.’ IMA Journal of Numerical Analysis xxx. doi: 10.1093/imanum/dry021.
  • Seis, Christian. 2018. ‘Optimal stability estimates for continuity equations.’ Proceedings of the Royal Society of Edinburgh: Section A Mathematics 148, Nr. A: 1279–1296. doi: 10.1017/S0308210518000173.
  • Seis, Christian. 2018. ‘The thin film equation close to self-similarity.’ Analysis and PDE 11, Nr. 5: 1303–1342. doi: 10.2140/apde.2018.11.1303.
  • Schlichting A., Seis C. 2018. ‘Analysis of the implicit upwind finite volume scheme with rough coefficients.’ Numerische Mathematik 139, Nr. 1: 155–186. doi: 10.1007/s00211-017-0935-1.
  • Öffner P, Ranocha H, Sonar T. 2018. ‘Correction Procedure via Reconstruction Using Summation-by-Parts Operators.’ In Theory, Numerics and Applications of Hyperbolic Problems II, edited by Klingenberg C, Westdickenberg M, 491–501. Basel : Springer International Publishing. doi: 10.1007/978-3-319-91548-7_37.
  • Ostaszewski K, Heinisch P, Ranocha H. 2018. ‘Advantages and Pitfalls of OpenCL in Computational Physics.’ In Proceedings of the International Workshop on OpenCL, 10:1. New York, NY: ACM Press. doi: 10.1145/3204919.3204929.
  • Ranocha H, Glaubitz J, Öffner P, Sonar T. 2018. ‘Stability of artificial dissipation and modal filtering for flux reconstruction schemes using summation-by-parts operators.’ Applied Numerical Mathematics 128: 1–23. doi: 10.1016/j.apnum.2018.01.019.
  • Ranocha H. 2018. ‘Generalised Summation-by-Parts Operators and Variable Coefficients.’ Journal of Computational Physics 362: 20–48. doi: 10.1016/j.jcp.2018.02.021.
  • Ranocha H, Öffner P. 2018. ‘L_2 Stability of Explicit Runge-Kutta Schemes.’ Journal of Scientific Computing 75, Nr. 2: 1040–1056. doi: 10.1007/s10915-017-0595-4.
  • Ranocha H. 2018. ‘Comparison of Some Entropy Conservative Numerical Fluxes for the Euler Equations.’ Journal of Scientific Computing 76, Nr. 1: 216–242. doi: 10.1007/s10915-017-0618-1.
  • Ranocha H. 2018. Generalised Summation-by-Parts Operators and Entropy Stability of Numerical Methods for Hyperbolic Balance Laws Dissertationsschrift, TU Braunschweig. N/A: unbekannt / n.a. / unknown.
  • Glaubitz J, Öffner P, Ranocha H, Sonar T. 2018. ‘Artificial Viscosity for Correction Procedure via Reconstruction Using Summation-by-Parts Operators.’ In Theory, Numerics and Applications of Hyperbolic Problems II, edited by Klingenberg C, Westdickenberg M, 363–375. Basel : Springer International Publishing. doi: 10.1007/978-3-319-91548-7_28.

  2017

  • Klingenberg, Christian; Pirner, Marlies; Puppo, Gabriella. 2017. ‘A consistent kinetic model for a two-component mixture with an application to plasma.’ Kinetic and Related Models 10.
  • Mourrat, Jean-Christophe; Weber, Hendrik. 2017. ‘The Dynamic Phi-4/3 Model Comes Down from Infinity.’ Communications in Mathematical Physics 356, Nr. 3: 673–753. doi: 10.1007/s00220-017-2997-4.
  • Chandra, Ajay; Weber, Hendrik. 2017. ‘Stochastic PDEs, Regularity structures, and interacting particle systems .’ Annales de la Faculté des sciences de Toulouse: Mathématiques 6 / 26, Nr. 4: 847–909. doi: 10.5802/afst.1555.
  • Berglund, Nils; Di Gesu, Giacomo; Weber, Hendrik. 2017. ‘An Eyring-Kramers law for the stochastic Allen-Cahn equation in dimension two.’ Electronic Journal of Probability 22: 1–27. doi: 10.1214/17-EJP60.
  • Mourrat, Jean-Christophe; Weber, Hendrik. 2017. ‘Convergence of the Two-Dimensional Dynamic Ising-Kac Model to Φ24.’ Communications on Pure and Applied Mathematics 70, Nr. 4: 717–812. doi: 10.1002/cpa.21655.
  • Lu, Yulong; Stuart, Andrew; Weber, Hendrik. 2017. ‘Gaussian Approximations for Probability Measures on Rd.’ SIAM/ASA Journal on Uncertainty Quantification 5, Nr. 1. doi: 10.1137/16M1105384.
  • Lu, Yulong; Stuart, Andrew; Weber, Hendrik. 2017. ‘Gaussian Approximations for Transition Paths in Brownian Dynamics.’ SIAM Journal on Mathematical Analysis 49, Nr. 4. doi: 10.1137/16M1071845.
  • Mourrat, Jean-Christophe; Weber, Hendrik. 2017. ‘GLOBAL WELL-POSEDNESS OF THE DYNAMIC Φ4 MODEL IN THE PLANE.’ Annals of Probability 45, Nr. 4: 2398–2476. doi: 10.1214/16-AOP1116.
  • Eberle S, Niethammer B, Schlichting A. 2017. ‘Gradient flow formulation and longtime behaviour of a constrained Fokker-Planck equation.’ Nonlinear Analysis: Theory, Methods and Applications 158: 142–167. doi: 10.1016/j.na.2017.04.009.
  • Andersson A, Jentzen A, Kurniawan R, Welti T. 2017. ‘On the differentiability of solutions of stochastic evolution equations with respect to their initial values.’ Nonlinear Analysis: Theory, Methods and Applications 162: 128–161. doi: 10.1016/j.na.2017.03.003.
  • E W, Han J, Jentzen A. 2017. ‘Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations.’ Communications in Mathematics and Statistics 5, Nr. 4: 349–380. doi: 10.1007/s40304-017-0117-6.
  • Gerencsér M, Jentzen A, Salimova D. 2017. ‘On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions.’ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 473, Nr. 2207: 20170104, 16. doi: 10.1098/rspa.2017.0104.
  • Stevens, Angela. 2017. ‘Mathematics in the Life-Sciences: A personal point of view.’ Jahresbericht der deutschen Mathematiker-Vereinigung 119: 143–168. doi: 10.1365/s13291-017-0165-6.
  • Grosskinsky, Stefan; Marahrens, Daniel; Stevens, Angela. 2017. ‘A Hydrodynamic Limit for Chemotaxis in a given Heterogeneous Environment.’ Vietnam Journal of Mathematics 45, Nr. 1-2: 127–152. doi: 10.1007/s10013-016-0209-8.
  • Scheel, Arnd; Stevens, Angela. 2017. ‘Wavenumber selection in coupled transport equations.’ Journal of Mathematical Biology 75, Nr. 5: 1047–1073. doi: 10.1007/s00285-017-1107-8.
  • Himpe C, Leibner T, Rave S, Saak J. 2017. ‘Fast Low-Rank Empirical Cross Gramians.’ PAMM 17, Nr. 1: 841–842. doi: 10.1002/pamm.201710388.
  • Keil Tim. 2017. Variational crimes in the Localized orthogonal decomposition method (master's thesis).
  • Ohlberger Mario. 2017. ‘Book review of: A. Quarteroni et al., Reduced basis methods for partial differential equations. An introduction.’ SIAM Rev. 59, Nr. 3: 690–692.
  • Benner P, Ohlberger M, Patera A, Rozza G, Urban K (Eds.): 2017. Model Reduction of Parametrized Systems. 1. Aufl. Basel : Springer International Publishing. doi: 10.1007/978-3-319-58786-8.
  • Barth T, Herbin R, Ohlberger M. 2017. ‘Finite Volume Methods: Foundation and Analysis.’ In Encyclopedia of Computational Mechanics, edited by Stein E, de Borst R, Hughes T, –. 2. Aufl. New York City: John Wiley & Sons. doi: 10.1002/9781119176817.ecm2010.
  • Ohlberger M, Schindler F. 2017. ‘Non-Conforming Localized Model Reduction with Online Enrichment: Towards Optimal Complexity in PDE constrained Optimization.’ In Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems: FVCA 8, Lille, France, June 2017, edited by Cancès C, Omnes P, 357–365. Basel : Springer International Publishing. doi: 10.1007/978-3-319-57394-6_38.
  • Benner P, Cohen A, Ohlberger M, Willcox K. 2017. Model Reduction and Approximation: Theory and Algorithms. Philadelphia: SIAM Publications. doi: 10.1137/1.9781611974829.
  • Andreas Dedner, Stefan Girke, Robert Klöfkorn, Tobias Malkmus. 2017. ‘The DUNE-FEM-DG module.’ Archive of Numerical Software 5, Nr. 1: 21–61. doi: 10.11588/ans.2017.1.28602.
  • Leibner T, Milk R, Schindler F. 2017. ‘Extending DUNE: The dune-xt modules.’ Archive of Numerical Software 5, Nr. 1: 193–216. doi: 10.11588/ans.2017.1.27720.
  • Verfürth B. „Heterogeneous Multiscale Method for a Helmholtz problem with high contrast.“ contributed to the Winter school on Numerical Analysis of Multiscale Problems, HIM Bonn, Germany, 2017.
  • Ohlberger M, Rave S, Schindler F. 2017. ‘True Error Control for the Localized Reduced Basis Method for Parabolic Problems.’ In Model Reduction of Parametrized Systems, edited by Benner P., Ohlberger M., Patera A., Rozza G., Urban K., 169–182. Basel : Springer International Publishing. doi: 10.1007/978-3-319-58786-8_11.
  • Ohlberger M, Rave S. 2017. ‘Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry.’ In Model Reduction of Parametrized Systems, edited by Benner P., Ohlberger M., Patera A., Rozza G., Urban K., 201–212. Basel : Springer International Publishing. doi: 10.1007/978-3-319-58786-8_13.
  • Himpe C, Ohlberger M. 2017. ‘Cross-Gramian-Based Model Reduction: A Comparison.’ In Model Reduction of Parametrized Systems, edited by Benner P, Ohlberger M, Patera A, Rozza G, Urban K, 271–283. Basel : Springer International Publishing. doi: 10.1007/978-3-319-58786-8_17.
  • Baur U, Benner P, Haasdonk B, Himpe C, Martini I, Ohlberger M. 2017. ‘Comparison of methods for parametric model order reduction of instationary problems.’ In Model Reduction and Approximation: Theory and Algorithms., edited by Benner P, Cohen A, Ohlberger, M, Willcox K, 377–408. 1. Aufl. Philadelphia: SIAM Publications. doi: 10.1137/1.9781611974829.ch9.
  • Verfürth B. 2017. ‘Numerical homogenization for indefinite H(curl)-problems.’ In Proceedings of Equadiff 2017 Conference, edited by Mikula K, Sevcovic D, Urban J, 137–146.
  • Buhr A, Engwer C, Ohlberger M, Rave S. 2017. ‘ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics.’ In Model Reduction of Parametrized Systems, edited by Benner P., Ohlberger M., Patera A., Rozza G., Urban K., 137–148. Basel : Springer International Publishing. doi: 10.1007/978-3-319-58786-8_9.
  • Engwer C, Vorwerk J, Ludewig J, Wolters CH. 2017. ‘A Discontinuous Galerkin Method for the EEG Forward Problem.’ SIAM Journal on Scientific Computing 39, Nr. 1: B138–B164. doi: 10.1137/15M1048392.
  • Buhr A, Engwer C, Ohlberger M, Rave S. 2017. ‘ArbiLoMod, a Simulation Technique Designed for Arbitrary Local Modifications.’ SIAM Journal on Scientific Computing 39, Nr. 4: A1435–A1465. doi: 10.1137/15M1054213.
  • Engwer C, Nüßing A. 2017. ‘Geometric Reconstruction of Implicitly Defined Surfaces and Domains with Topological Guarantees.’ ACM Transactions on Mathematical Software 44, Nr. 2. doi: 10.1145/3104989.
  • Burger M., Lorz A., Wolfram M. 2017. ‘Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth.’ Kinetic and Related Models 10, Nr. 1: 117–140. doi: 10.3934/krm.2017005.
  • Neugebauer F, Möddel G, Rampp S, Burger M, Wolters C,. 2017. ‘The effect of head model simplification on beamformer source localization.’ Frontiers in Neuroscience 11, Nr. 625. doi: 10.3389/fnins.2017.00625.
  • J. Berendsen, M. Burger, J.-F. Pietschmann. 2017. ‘On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion.’ Nonlinear Analysis 159.
  • H. Egger, J.-F. Pietschmann, M. Schlottbom. 2017. ‘On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms.’ Inverse Problems 33. doi: 10.1088/1361-6420/aa8cae.
  • Vorwerk J, Engwer C, Pursiainen S, Wolters CH. 2017. ‘A Mixed Finite Element Method to Solve the EEG Forward Problem.’ IEEE Transactions on Medical Imaging 36, Nr. 4: 930–941. doi: 10.1109/TMI.2016.2624634.
  • Berkels B, Wirth B. 2017. ‘Joint denoising and distortion correction of atomic scale scanning transmission electron microscopy images.’ Inverse Problems 33, Nr. 9: 095002.
  • Bauer C, Clason C, Lorenz D, Wirth B. 2017. ‘A Sinkhorn-Newton method for entropic optimal transport.’ Contributed to the Neural Information Processing Systems Conference, Long Beach, USA.
  • Zhang C, Berkels B, Wirth B, Voyles PM. 2017. ‘Joint Denoising and Distortion Correction for Atomic Column Detection in Scanning Transmission Electron Microscopy Images.’ Microscopy and Microanalysis 23(S1): 164–165.
  • Song J, Buscher K, Wang Y, Wang H, Li L, Di Russo J, Zhang X, Lütke-Enking S, Zarbock A, Striewski P, Wirth B, Kuzmanov I, Wiendl H, Sorokin L. 2017. ‘Endothelial Basement Membrane Laminin 511 Contributes to Endothelial Junctional Tightness and thereby Inhibits Leukocyte Transmigration.’ Cell Reports 18, Nr. 5: 1256–1269.
  • Friedrich M. 2017. ‘A Korn-type inequality in SBD for functions with small jump sets.’ Math. Models Methods Appl. Sci. (M3AS) 27: 2461–2484. doi: 10.1142/S021820251750049X.
  • Friedrich M. 2017. ‘A derivation of linearized Griffith energies from nonlinear models.’ Arch. Ration. Mech. Anal. 225: 425–467. doi: 10.1007/s00205-017-1108-1.
  • Schedensack M. 2017. ‘Mixed finite element methods for linear elasticity and the Stokes equations based on the Helmholtz decomposition.’ ESAIM: Mathematical Modelling and Numerical Analysis 51, Nr. 2: 399–425. doi: 10.1051/m2an/2016024.
  • Peterseim D., Schedensack M. 2017. ‘Relaxing the CFL Condition for the Wave Equation on Adaptive Meshes.’ Journal of Scientific Computing 72, Nr. 3: 1196–1213. doi: 10.1007/s10915-017-0394-y.
  • Schedensack M. 2017. ‘A New Generalization of the P1 Non-Conforming FEM to Higher Polynomial Degrees.’ Computational Methods in Applied Mathematics 17, Nr. 1: 161–185. doi: 10.1515/cmam-2016-0031.
  • Alaeian Hadiseh, Schedensack Mira, Bartels Clara, Peterseim Daniel, Weitz Martin. 2017. ‘Thermo-optical interactions in a dye-microcavity photon Bose-Einstein condensate.’ New Journal of Physics 19. doi: 10.1088/1367-2630/aa964c.
  • Jerrard R., Seis C. 2017. ‘On the Vortex Filament Conjecture for Euler Flows.’ Archive for Rational Mechanics and Analysis 224, Nr. 1: 135–172. doi: 10.1007/s00205-016-1070-3.
  • Schlichting A., Seis C. 2017. ‘Convergence rates for upwind schemes with rough coefficients.’ SIAM Journal on Numerical Analysis 55, Nr. 2: 812–840. doi: 10.1137/16M1084882.
  • Crippa, Gianluca; Nobili, Camilla; Seis, Christian; Spirito, Stefano. 2017. ‘Eulerian and Lagrangian solutions to the continuity and Euler equations with $L^1$ vorticity.’ SIAM Journal on Mathematical Analysis 49, Nr. 5: 3973–3998. doi: 10.1137/17M1130988.
  • Seis, Christian. 2017. ‘Optimal stability estimates for continuity equations.’ Oberwolfach Reports 14, Nr. 1. doi: 10.4171/OWR/2017/7.
  • Ranocha H. 2017. ‘Shallow water equations: Split-form, entropy stable, well-balanced, and positivity preserving numerical methods.’ GEM - International Journal on Geomathematics 8, Nr. 1: 85–133. doi: 10.1007/s13137-016-0089-9.
  • Ranocha H, Öffner P, Sonar T. 2017. ‘Extended skew-symmetric form for summation-by-parts operators and varying Jacobians.’ Journal of Computational Physics 342: 13–28. doi: 10.1016/j.jcp.2017.04.044.
  • Ranocha H, Öffner P, Sonar T. 2017. ‘Summation-by-Parts and Correction Procedure via Reconstruction.’ In Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016, edited by Bittencourt ML, Dumont NA, Hesthaven JS, 627–637. Heidelberg: Springer. doi: 10.1007/978-3-319-65870-4_45.
  • Ohlberger M, Verfürth B. 2017. ‘Localized Orthogonal Decomposition for two-scale Helmholtz-type problems.’ AIMS Mathematics 2, Nr. 3: 458–478. doi: 10.3934/Math.2017.2.458.
  • Smetana K, Ohlberger M. 2017. ‘Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques.’ M2AN Math. Model. Numer. Anal. 51, Nr. 2: 641–677. doi: 10.1051/m2an/2016031.
  • Haidl M, Steuwer M, Dirks H, Humernbrum T, Gorlatch S. 2017. ‘Towards Composable GPU Programming: Programming GPUs with Eager Actions and Lazy Views.’ In Proceedings of the 8th International Workshop on Programming Models and Applications for Multicores and Manycores, edited by Chen Q, Huang Z, 58–67. New York, NY: ACM Press. doi: 10.1145/3026937.3026942.

  2016

  • Henning P, Ohlberger M, Verfürth B. 2016. ‘Analysis of multiscale methods for time-harmonic Maxwell's equations.’ Proc. Appl. Math. Mech. 16, Nr. 1: 559–560. doi: 10.1002/pamm.201610268.
  • Smetana Kathrin, Patera Anthony T. 2016. ‘Optimal local approximation spaces for component-based static condensation procedures.’ SIAM J. Sci. Comput. 38, Nr. 5: A3318––A3356. doi: 10.1137/15M1009603.
  • Hilhorst, Danielle; Matano, Hiroshi; Thanh Nam Nguyen; Weber, Hendrik. 2016. ‘On the Large Time Behavior of the Solutions of a Nonlocal Ordinary Differential Equation with Mass Conservation.’ Journal of Dynamics and Differential Equations 28, Nr. 3-4: 707–731. doi: 10.1007/s10884-015-9465-7.
  • Adams, Stefan; Kister, Alexander; Weber, Hendrik. 2016. ‘Sample path large deviations for Laplacian models in (1+1)-dimensions.’ Electronic Journal of Probability 21: 1–36. doi: 10.1214/16-EJP8.
  • Erbar M, Fathi M, Laschos V, Schlichting A. 2016. ‘Gradient flow structure for McKean-Vlasov equations on discrete spaces.’ Discrete and Continuous Dynamical Systems - Series A 36, Nr. 12: 6799–6833. doi: 10.3934/dcds.2016096.
  • E W, Jentzen A, Shen H. 2016. ‘Renormalized powers of Ornstein-Uhlenbeck processes and well-posedness of stochastic Ginzburg-Landau equations.’ Nonlinear Analysis: Theory, Methods and Applications 142: 152–193. doi: 10.1016/j.na.2016.03.001.
  • Becker S, Jentzen A, Kloeden PE. 2016. ‘An exponential Wagner-Platen type scheme for SPDEs.’ SIAM Journal on Numerical Analysis 54, Nr. 4: 2389–2426. doi: 10.1137/15M1008762.
  • Jentzen A, Müller-Gronbach T, Yaroslavtseva L. 2016. ‘On stochastic differential equations with arbitrary slow convergence rates for strong approximation.’ Communications in Mathematical Sciences 14, Nr. 6: 1477–1500. doi: 10.4310/CMS.2016.v14.n6.a1.
  • Zeppieri C. I. 2016. ‘Stochastic homogenisation of singularly-perturbed integral functionals.’ Ann. Mat. Pura Appl. 195.
  • Bevan J J, Zeppieri C I. 2016. ‘A simple sufficient condition for the quasiconvexity of elastic stored-energy functions in spaces which allow for cavitation.’ Calc. Var. Partial Diff. Equations 55.
  • Barchiesi M, Lazzaroni G, Zeppieri C I. 2016. ‘A bridging mechanism in the homogenisation of brittle composites with soft inclusions.’ SIAM J. Math. Anal. 48.
  • Kang, Kyungeun; Stevens, Angela. 2016. ‘Blowup and Global Solutions in a Chemotaxis-Growth System.’ Nonlinear Analysis: Theory, Methods and Applications 2016, Nr. 135: 57–72. doi: 10.1016/j.na.2016.01.017.
  • Fehr J, Heiland J, Himpe C, Saak J. 2016. ‘Best Practices for Replicability, Reproducibility and Reusability of Computer-Based Experiments Exemplified by Model Reduction.’ AIMS Mathematics 1, Nr. 3: 261--281. doi: 10.3934/Math.2016.3.261.
  • Ohlberger M, Rave S. 2016. ‘Reduced Basis Methods: Success, Limitations and Future Challenges.’ In roceedings of ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoke Tatry, Podbanske, Slovakia, March 13-18, 2016, edited by A. Handlovičova and D. Sevčovič, 1–12. Bratislava: Publishing House of Slovak University of Technology.
  • Schindler, F. 2016. Model reduction for parametric multi-scale problems Dissertationsschrift, Westfälische Wilhelms-Universität Münster.
  • Milk R, Rave S, Schindler F. 2016. ‘pyMOR - Generic algorithms and interfaces for model order reduction.’ SIAM Journal on Scientific Computing 38, Nr. 5: S194–S216. doi: 10.1137/15M1026614.
  • Ohlberger M, Rave S, Schindler F. 2016. ‘Adaptive Localized Model Reduction.’ Oberwolfach Reports 13, Nr. 3: 2406–2409. doi: 10.4171/OWR/2016/42.
  • Henning P, Ohlberger M. 2016. ‘A-posteriori error estimate for a heterogeneous multiscale approximation of advection-diffusion problems with large expected drift.’ Discrete and Continuous Dynamical Systems - Series S 9, Nr. 5: 1393–1420. doi: 10.3934/dcdss.2016056.
  • Brunken Julia, Leibner Tobias, Ohlberger Mario, Smetana Kathrin. 2016. ‘Problem adapted hierachical model reduction for the Fokker-Planck equation.’ In ALGORITMY 2016 Proceedings of contributed papers and posters, edited by Handlovicova Angela, Sevcovic Daniel, 13–22. Bratislava: Publishing House of Slovak University of Technology.
  • Lehrenfeld C, Reusken A. 2016. ‘Optimal Preconditioners for Nitsche-XFEM Discretizations of Interface Problems.’ Numerische Mathematik 2016. doi: 10.1007/s00211-016-0801-6.
  • Falconi Delgado C, Lehrenfeld C, Marschall H, Meyer C, Abiev R, Bothe D, Reusken A, Schlüter M, Wörner M. 2016. ‘Numerical and Experimental Analysis of Local Flow Phenomena in Laminar Taylor Flow in a Square Mini-Channel.’ Physics of Fluids 28, Nr. 1: 012109.
  • Ohlberger M, Smetana K. 2016. ‘Approximation of skewed interfaces with tensor-based model reduction procedures: application to the reduced basis hierarchical model reduction approach.’ J. Comp. Phys. 321: 1185–1205. doi: 10.1016/j.jcp.2016.06.021.
  • Ohlberger M, Rave S, Schindler F. 2016. ‘Model Reduction for Multiscale Lithium-Ion Battery Simulation.’ In Numerical Mathematics and Advanced Applications ENUMATH 2015, edited by Karasözen B, Manguoğlu M, Teuer-Sezgin M, Göktepe S, Uğur Ö, 317–331. Heidelberg: Springer. doi: 10.1007/978-3-319-39929-4_31.
  • Henning P, Ohlberger M, Verfürth B. 2016. ‘A new Heterogeneous Multiscale Method for time-harmonic Maxwell's equations.’ SIAM J. Numer. Anal. 54, Nr. 6: 3493–3522. doi: 10.1137/15M1039225.
  • Engwer C, Ranner T, Westerheide S. 2016. ‘An unfitted discontinuous Galerkin scheme for conservation laws on evolving surfaces.’ In Proceedings of ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoké Tatry, Podbanské, Slovakia, March 13-18, 2016, edited by Handlovičová A., Ševčovič D., 44–54.: Publishing House of Slovak University of Technology.
  • Bastian P, Engwer C, Fahlke J, Geveler M, Göddeke D, Iliev O, Ippisch O, Milk R, J M, Müthing S, Ohlberger M, Ribbrock D, Turek S. 2016. ‘Advances concerning multiscale methods and uncertainty quantification in EXA-DUNE.’ In Software for Exascale Computing - SPPEXA 2013-2015, edited by Hans-Joachim Bungartz, Philipp Neumann, Wolfgang E. Nagel, 25–43. doi: 10.1007/978-3-319-40528-5_2.
  • Bastian P, Engwer C, Fahlke J, Geveler M, Göddeke D, Iliev O, Ippisch O, Milk R, J M, Müthing S, Ohlberger M, Ribbrock D, Turek S. 2016. ‘Hardware-based Efficiency Advances in the EXA-DUNE Project.’ In Software for Exascale Computing - SPPEXA 2013-2015, edited by Hans-Joachim Bungartz, Philipp Neumann, Wolfgang E. Nagel, 3–23. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-319-40528-5_1.
  • Burger M., Gilboa G., Moeller M., Eckardt L., Cremers D. 2016. ‘Spectral decompositions using one-homogeneous functionals.’ SIAM Journal on Imaging Sciences 9, Nr. 3: 1374–1408. doi: 10.1137/15M1054687.
  • Burger M., Rossmanith C., Zhang X. 2016. ‘Simultaneous reconstruction and segmentation for dynamic SPECT imaging.’ Inverse Problems 32, Nr. 10. doi: 10.1088/0266-5611/32/10/104002.
  • Burger M., Lorz A., Wolfram M. 2016. ‘On a Boltzmann mean field model for knowledge growth.’ SIAM Journal on Applied Mathematics 76, Nr. 5: 1799–1818. doi: 10.1137/15M1018599.
  • Gilboa G., Moeller M., Burger M. 2016. ‘Nonlinear Spectral Analysis via One-Homogeneous Functionals: Overview and Future Prospects.’ Journal of Mathematical Imaging and Vision 56, Nr. 2: 300–319. doi: 10.1007/s10851-016-0665-5.
  • Burger M., Hittmeir S., Ranetbauer H., Wolfram M. 2016. ‘Lane formation by side-stepping.’ SIAM Journal on Mathematical Analysis 48, Nr. 2: 981–1005. doi: 10.1137/15M1033174.
  • Burger M., Pietschmann J. 2016. ‘Flow characteristics in a crowded transport model.’ Nonlinearity 29, Nr. 11: 3528–3550. doi: 10.1088/0951-7715/29/11/3528.
  • Burger M. 2016. ‘Bregman distances in inverse problems and partial differential equations.’ In Advances in Mathematical Modeling, Optimization, and Optimal Control, edited by J.Hiriard-Urrurty, A.Korytowski, H.Maurer, M.Szymkat, 3–33. Basel : Springer International Publishing. doi: 10.1007/978-3-319-30785-5_2.
  • Wagner S., Lucka F., Vorwerk J., Herrmann C., Nolte G., Burger M., Wolters C. 2016. ‘Using reciprocity for relating the simulation of transcranial current stimulation to the EEG forward problem.’ NeuroImage 140, Nr. null: 163–173. doi: 10.1016/j.neuroimage.2016.04.005.
  • Wagner S, Burger M, Wolters CH. 2016. ‘An optimization approach for well-targeted transcranial direct current stimulation.’ SIAM Journal on Applied Mathematics 76, Nr. 6: 2154–2174. doi: 10.1137/15M1026481.
  • Nüßing A, Wolters CH, Brinck H, Engwer C. 2016. ‘The Unfitted Discontinuous Galerkin Method for Solving the EEG Forward Problem.’ IEEE Trans Biomed Eng 63, Nr. 12: 2564–2575. doi: 10.1109/TBME.2016.2590740.
  • Engwer C, Schumacher L. 2016. ‘A phase field approach to pressurized fractures using discontinuous Galerkin methods.’ Mathematics and Computers in Simulation 137: –. doi: 10.1016/j.matcom.2016.11.001.
  • Mannweiler D., Suhr S., Modersitzki J., Burger M. 2016. ‘Variational method for motion corrected reconstruction with MRI information in positron emission tomography.’ Contributed to the 2015 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2015, usa. doi: 10.1109/NSSMIC.2015.7582045.
  • Heeren B, Rumpf M, Schröder P, Wardetzky M, Wirth B. 2016. ‘Splines in the space of shells.’ Computer Graphics Forum 35, Nr. 5: 111–120.
  • Brancolini A, Wirth B. 2016. ‘ Optimal energy scaling for micropatterns in transport networks.’ SIAM Journal on Mathematical Analysis 49, Nr. 1: 311–359.
  • Brancolini A, Wirth B. 2016. ‘ Equivalent formulations for the branched transport and urban planning problems.’ Journal de Mathématiques Pures et Appliquées 106: 695–724.
  • Herrmann M. 2016. ‘High-energy waves in superpolynomial FPU-type chains.’ Journal of Nonlinear Science 2016. doi: 10.1007/s00332-016-9331-8.
  • Herrmann M, Niethammer B, Velázquez JJL. 2016. ‘Instabilities and oscillations in coagulation equations with kernels of homogeneity one.’ Quarterly of Applied Mathematics 75-1. doi: 10.1090/qam/1454.
  • Absil P-A, Gousenbourger P-Y, Striewski P, Wirth B. 2016. ‘Differentiable piecewise-Bezier interpolation on Riemannian manifolds.’ Contributed to the European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning, Bruges (Belgium).
  • Absil P-A, Gousenbourger P-Y, Striewski P, Wirth B. 2016. ‘Differentiable piecewise-Bezier surfaces on Riemannian manifolds.’ SIAM Journal on Imaging Sciences 9, Nr. 4: 1788–1828.
  • Wirth B. 2016. ‘On the Gamma-limit of joint segmentation and registration functionals based on phase fields.’ Interfaces and Free Boundaries 18, Nr. 4: 441–477.
  • Buscher K, Wang H, Zhang X, Striewski P, Wirth B, Saggu G, Lütke-Enking S, Mayadas TN, Ley K, Sorokin L, Song J. 2016. ‘Protection from septic peritonitis by rapid neutrophil recruitment through omental high endothelial venules.’ Nature Communications 7: 10828.
  • Lu J, Wirth B, Yang H. 2016. ‘Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis.’ Journal of the Mechanics and Physics of Solids 89: 194–210.
  • Kohn RV, Wirth B. 2016. ‘Optimal fine-scale structures in compliance minimization for a shear load.’ Communications in Pure and Applied Mathematics 69: 1572–1610.
  • Herrmann M, Mikikits-Leitner A. 2016. ‘KdV waves in atomic chains with nonlocal interactions .’ Discrete and Continuous Dynamical Systems - Series A 36. doi: 10.3934/dcds.2016.36.2047.
  • Friedrich M, Piovano P, Stefanelli U. 2016. ‘The geometry of C60: A rigorous approach via Molecular Mechanics.’ SIAM J. Appl. Math. 76: 2009–2029. doi: 10.1137/16M106978X.
  • Carstensen C., Reddy B., Schedensack M. 2016. ‘A natural nonconforming FEM for the Bingham flow problem is quasi-optimal.’ Numerische Mathematik 133, Nr. 1: 37–66. doi: 10.1007/s00211-015-0738-1.
  • Schedensack M. 2016. ‘A new discretization for mth-Laplace equations with arbitrary polynomial degrees.’ SIAM Journal on Numerical Analysis 54, Nr. 4: 2138–2162. doi: 10.1137/15M1013651.
  • Kreuzer C., Schedensack M. 2016. ‘Instance optimal Crouzeix-Raviart adaptive finite element methods for the Poisson and Stokes problems.’ IMA Journal of Numerical Analysis 36, Nr. 2: 593–617. doi: 10.1093/imanum/drv019.
  • Carstensen C., Gallistl D., Schedensack M. 2016. ‘L2 best approximation of the elastic stress in the Arnold-Winther FEM.’ IMA Journal of Numerical Analysis 36, Nr. 3: 1096–1119. doi: 10.1093/imanum/drv051.
  • Brenner S., Oh M., Pollock S., Porwal K., Schedensack M., Sharma N. 2016. ‘A $C^0$ interior penalty method for elliptic optimal control problems with pointwise state constraints in three dimensions.’ In Topics in Numerical Partial Differential Equations and Scientific Computing, edited by Brenner Susanne C., 1–22. doi: 10.1007/978-1-4939-6399-7.
  • Seis C. 2016. ‘A quantitative theory for the continuity equation.’ Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis 34, Nr. 7: 1837–1850. doi: 10.1016/j.anihpc.2017.01.001.
  • Mugnai L., Seis C., Spadaro E. 2016. ‘Global solutions to the volume-preserving mean-curvature flow.’ Calculus of Variations and Partial Differential Equations 55, Nr. 1: 1–23. doi: 10.1007/s00526-015-0943-x.
  • Ranocha H, Öffner P, Sonar T. 2016. ‘Summation-by-parts operators for correction procedure via reconstruction.’ Journal of Computational Physics 311: 299–328. doi: 10.1016/j.jcp.2016.02.009.
  • Himpe C, Ohlberger M. 2016. ‘A note on the cross Gramian for non-symmetric systems.’ System Science and Control Engineering 4, Nr. 1: 199–208. doi: 10.1080/21642583.2016.1215273.
  • Lehrenfeld Christoph. 2016. ‘High order unfitted finite element methods on level set domains using isoparametric mappings.’ Comp. Meth. Appl. Mech. Eng. 300, Nr. 1: 716–733. doi: 10.1016/j.cma.2015.12.005.

  2015

  • Burger Martin, Elvetun Ole, Schlottbom Matthias. 2015. ‘Diffuse interface methods for inverse problems: case study for an elliptic Cauchy problem.’ Inverse Problems 31, Nr. 12. doi: 10.1088/0266-5611/31/12/125002.
  • Mourrat, Jean-Christophe; Weber, Hendrik, Xu, Weijun. 2015. ‘Construction of ϕ4/3 diagrams for pedestrians. In From Particle Systems to Partial Differential Equations.’ In From Particle Systems to Partial Differential Equations , edited by Gonçalves, Patrícia; Soares, Ana Jacinta, 1–46. Basel : Springer International Publishing. doi: 10.1007/978-3-319-66839-0_1.
  • Hairer, Martin; Weber, Hendrik. 2015. ‘Large deviations for white-noise driven, nonlinear stochastic PDEs in two and three dimensions .’ Annales de la Faculté des sciences de Toulouse: Mathématiques 6 / 24, Nr. 1: 55–92. doi: 10.5802/afst.1442.
  • Pinski, F. J.; Simpson, G.; Stuart, A. M.; Weber, H. 2015. ‘Algorithms for Kullback--Leibler Approximation of Probability Measures in Infinite Dimensions.’ SIAM Journal on Scientific Computing 37, Nr. 6. doi: 10.1137/14098171X.
  • Pinski, F. J.; Simpson, G.; Stuart, A. M.; Weber, H. 2015. ‘Kullback--Leibler Approximation for Probability Measures on Infinite Dimensional Spaces.’ Siam Journal on Mathematical Analysis 47, Nr. 6: 4091–4742. doi: 10.1137/140962802.
  • Hairer M, Hutzenthaler M, Jentzen A. 2015. ‘Loss of regularity for Kolmogorov equations.’ Annals of Probability 43, Nr. 2: 468–527. doi: 10.1214/13-AOP838.
  • Jentzen A, Röckner M. 2015. ‘A Milstein scheme for SPDEs.’ Foundations of Computational Mathematics 15, Nr. 2: 313–362. doi: 10.1007/s10208-015-9247-y.
  • Hutzenthaler M, Jentzen A. 2015. ‘Numerical approximations of stochastic differential equations with non-globally Lipschitz continuous coefficients.’ Memoirs of the American Mathematical Society 236, Nr. 1112: v+99. doi: 10.1090/memo/1112.
  • Burger Martin, Esposito Teresa, Zeppieri Caterina Ida. 2015. ‘Second-order edge-penalization in the Ambrosio-Tortorelli functional.’ Multiscale Model. Simul. 13, Nr. 4: 1354–1389.
  • Müller Stefan, Scardia Lucia, Zeppieri Caterina Ida. 2015. ‘Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations.’ In Analysis and Computation of Microstructure in Finite Plasticity, edited by Conti Sergio, Hackl Klaus, 175–204.
  • Fuhrmann, Jan; Stevens, Angela. 2015. ‘A free boundary problem for cell motion.’ Differential and Integral Equations 28, Nr. 7-8: 695–732. doi: 10.57262/die/1431347860.
  • Hamel, Francois; Otani, Mitsuharu; Stevens, Angela; Webb, Jeffrey R. L. (Eds.): 2015. Special Issue: Nonlinear Phenomena in Biology, Physics and Mechanics . New York City: John Wiley & Sons.
  • Stevens, Angela. 2015. „Mathematik und Biowissenschaften.“ In Studien- und Berufsplaner Mathematik, herausgegeben von Springer Fachmedien Wiesbaden, 124–127. Wiesbaden: Springer Fachmedien Wiesbaden. doi: 10.1007/978-3-658-04129-8.
  • Smetana Kathrin. 2015. ‘A new certification framework for the port reduced static condensation reduced basis element method.’ Computer Methods in Applied Mechanics and Engineering 283: 352–383. doi: 10.1016/j.cma.2014.09.020.
  • Lehrenfeld C, Reusken A. 2015. ‘Finite Element Techniques for the Numerical Simulation of Two-Phase Flows with Mass Transport.’ In Computational Methods for Complex Liquid-Fluid Interfaces, edited by CRC Press, 353–371.
  • Lehrenfeld C. 2015. ‘The Nitsche XFEM-DG Space-Time Method and its Implementation in Three Space Dimensions.’ SIAM J. Sci. Comput. 37: A245–A270. doi: 10.1137/130943534.
  • Lehrenfeld C. 2015. On a Space-Time Extended Finite Element Method for the Solution of a Class of Two-Phase Mass Transport Problems Dissertationsschrift, RWTH Aachen.
  • Kaulmann S, Flemisch B, Haasdonk B, Lie K, Ohlberger M. 2015. ‘The Localized Reduced Basis Multiscale method for two-phase flows in porous media.’ International Journal for Numerical Methods in Engineering 5, Nr. 102: 1018–1040. doi: 10.1002/nme.4773.
  • Himpe C, Ohlberger M. 2015. ‘Data-driven combined state and parameter reduction for inverse problems.’ Advances in Computational Mathematics 41, Nr. 5: 1343–1364. doi: 10.1007/s10444-015-9420-5.
  • Henning P, Ohlberger M, Schweizer B. 2015. ‘Adaptive Heterogeneous Multiscale Methods for immiscible two-phase flow in porous media.’ Computational Geosciences 1, Nr. 19: 99–114. doi: 10.1007/s10596-014-9455-6.
  • Henning P, Ohlberger M. 2015. ‘Error control and adaptivity for heterogeneous multiscale approximations of nonlinear monotone problems.’ Discrete and Continuous Dynamical Systems - Series S 8, Nr. 1: 119–150. doi: 10.3934/dcdss.2015.8.119.
  • Ohlberger Mario, Smetana Kathrin. 2015. ‘A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction.’ Oberwolfach Reports 2/2015: 141–144. doi: 10.4171/OWR/2015/2.
  • Himpe C, Ohlberger M. „The Versatile Cross Gramian.“ contributed to the Model Reduction for Parameterized Systems (MoRePaS) III, Trieste, Italy, 2015. doi: 10.14293/P2199-8442.1.SOP-MATH.PSAHPZ.v1.
  • Benner P, Ohlberger M, Patera A, Rozza G, Sorensen D, Urban K. 2015. ‘Model order reduction of parameterized systems (MoRePaS).’ Advances in Computational Mathematics 41, Nr. 5: 955–960. doi: 10.1007/s10444-015-9443-y.
  • Buhr A, Ohlberger M. 2015. ‘Interactive Simulations Using Localized Reduced Basis Methods.’ In IFAC-PapersOnLine, 729–730. doi: 10.1016/j.ifacol.2015.05.134.
  • Mohring Jan, Milk Rene, Ngo Adrian, Klein Ole, Iliev Oleg, Ohlberger Mario, Bastian Peter. 2015. ‘Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo.’ In Proceedings of 10th International Conference on Large-Scale Scientific Computations, Sozopol 2015, edited by Lirkov I., Margenov S. D. , Wasniewski J., 145–152. Basel : Springer International Publishing. doi: 10.1007/978-3-319-26520-9_15.
  • Himpe C, Ohlberger M. 2015. ‘The Empirical Cross Gramian for Parametrized Nonlinear Systems.’ Contributed to the MATHMOD 2015 - 8th Vienna International Conference on Mathematical Modelling, Vienna. doi: 10.1016/j.ifacol.2015.05.163.
  • Ohlberger M, Schindler F. 2015. ‘Error control for the localized reduced basis multi-scale method with adaptive on-line enrichment.’ SIAM J. Sci. Comput. 37, Nr. 6: A2865–A2895. doi: 10.1137/151003660.
  • Himpe C, Ohlberger M. „Accelerating the Computation of Empirical Gramians and Related Methods.“ contributed to the 5th International Workshop on Model Reduction in Reacting Flows, Spreewald, 2015. doi: 10.5281/zenodo.46643.
  • Engwer C, Hunt A, Surulescu C. 2015. ‘Effective equations for anisotropic glioma spread with proliferation: a multiscale approach and comparisons with previous settings.’ Mathematical Medicine and Biology 2015. doi: 10.1093/imammb/dqv030.
  • Giese W, Eigel M, Westerheide S, Engwer C, Klipp E. 2015. ‘Influence of cell shape, inhomogeneities and diffusion barriers in cell polarization models.’ Physical Biology 12, Nr. 6: 066014. doi: 10.1088/1478-3975/12/6/066014.
  • Engwer C, Johannsen K, Nüßing A. 2015. ‘Algebraic multigrid for discontinuous Galerkin methods using local transformations.’ In Proceedings of the 22th Conference on Domain Decomposition Methods, 177–185. Heidelberg: Springer.
  • Engwer C, Müthing S. 2015. ‘Concepts for flexible parallel Multi-Domain Simulations.’ In Proceedings of the 22th Conference on Domain Decomposition Methods.
  • Engwer C, Hillen T, Knappitsch M, Surulescu C. 2015. ‘Glioma Follow White Matter Tracts; a Multiscale DTI-based Model.’ Journal of Mathematical Biology 71, Nr. 3. doi: 10.1007/s00285-014-0822-7.
  • Burger M., Eckardt L., Gilboa G., Moeller M. 2015. ‘Spectral representations of one-homogeneous functionals.’ In Scale Space and Variational Methods in Computer Vision - 5th International Conference, SSVM 2015, Proceedings, 16–27. Heidelberg: Springer. doi: 10.1007/978-3-319-18461-6_2.
  • Helin T., Burger M. 2015. ‘Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems.’ Inverse Problems 31, Nr. 8. doi: 10.1088/0266-5611/31/8/085009.
  • Heins P., Moeller M., Burger M. 2015. ‘Locally sparse reconstruction using the l1,∞-norm.’ Inverse Problems and Imaging 9, Nr. 4: 1093–1137. doi: 10.3934/ipi.2015.9.1093.
  • Burger M., Kaltenbacher B., Neubauer A. 2015. ‘Iterative solutionmethods.’ In Handbook of Mathematical Methods in Imaging: Volume 1, Second Edition, edited by Scherzer, O, 431–470. Heidelberg: Springer. doi: 10.1007/978-1-4939-0790-8_9.
  • Schmidt C., Wagner S., Burger M., Rienen U., Wolters C. 2015. ‘Impact of uncertain head tissue conductivity in the optimization of transcranial direct current stimulation for an auditory target.’ Journal of Neural Engineering 12, Nr. 4. doi: 10.1088/1741-2560/12/4/046028.
  • Egger H., Pietschmann J., Schlottbom M. 2015. ‘Identification of nonlinear heat conduction laws.’ Journal of Inverse and Ill-Posed Problems 23, Nr. 5: 429–437. doi: 10.1515/jiip-2014-0030.
  • Egger H., Pietschmann J., Schlottbom M. 2015. ‘Identification of chemotaxis models with volume-filling.’ SIAM Journal on Applied Mathematics 75, Nr. 2: 275–288. doi: 10.1137/140967222.
  • Burger M., Esposito T., Zeppieri C. 2015. ‘Second-order edge-penalization in the ambrosio-tortorelli functional.’ Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 13, Nr. 4: 1354–1389. doi: 10.1137/15M1020848.
  • Brinkmann E., Burger M., Grah J. 2015. ‘Regularization with sparse vector fields: From image compression to TV-type reconstruction.’ In Scale Space and Variational Methods in Computer Vision - 5th International Conference, SSVM 2015, Proceedings, 191–202. Heidelberg: Springer. doi: 10.1007/978-3-319-18461-6_16.
  • Rumpf M, Wirth B. 2015. ‘Variational time discretization of geodesic calculus.’ IMA Journal of Numerical Analysis 35, Nr. 3: 1011–1046.
  • Wirth B. 2015. „Nachwuchswissenschaftler in Deutschland - die Sicht eines Rückkehrers.“ Forschung und Lehre 2015, Nr. 5: 365.
  • Rumpf M, Simon S, Stahn K, Wirth B. 2015. ‘Bezier curves in the space of images.’ Contributed to the Fifth International Conference on Scale Space Methods and Variational Methods in Computer Vision, Lège Cap Ferret, France.
  • Elsey M, Wirth B. 2015. ‘Redistancing dynamics for vector-valued multilabel segmentation with costly fidelity: grain identification in polycrystal images.’ Journal of Scientific Computing 63, Nr. 1: 279–306.
  • Bredies K, Pock T, Wirth B. 2015. ‘A convex, lower semi-continuous approximation of Euler's elastica energy.’ SIAM Journal of Mathematical Analysis 47, Nr. 1: 566–613.
  • Herrman M, Matthies K. 2015. ‘Asymptotic formulas for solitary waves in the high-energy limit of FPU-type chains.’ Nonlinearity 28, Nr. 8. doi: 10.1088/0951-7715/28/8/2767.
  • Friedrich M, Schmidt B. 2015. ‘On a discrete-to-continuum convergence result for a two dimensional brittle material in the small displacement regime.’ Netw. Heterog. Media 10: 321–342. doi: 10.3934/nhm.2015.10.321.
  • Friedrich M, Schmidt B. 2015. ‘An analysis of crystal cleavage in the passage from atomistic models to continuum theory.’ Arch. Ration. Mech. Anal. 217: 263–308. doi: 10.1007/s00205-014-0833-y.
  • Carstensen C., Köhler K., Peterseim D., Schedensack M. 2015. ‘Comparison results for the Stokes equations.’ Applied Numerical Mathematics 95: 118–129. doi: 10.1016/j.apnum.2013.12.005.
  • Carstensen C., Gallistl D., Schedensack M. 2015. ‘Adaptive nonconforming Crouzeix-Raviart FEM for eigenvalue problems.’ Mathematics of Computation 84, Nr. 293: 1061–1087. doi: 10.1090/S0025-5718-2014-02894-9.
  • Carstensen C., Schedensack M. 2015. ‘Medius analysis and comparison results for first-order finite element methods in linear elasticity.’ IMA Journal of Numerical Analysis 35, Nr. 4: 1591–1621. doi: 10.1093/imanum/dru048.
  • Schedensack M. 2015. A class of mixed finite element methods based on the Helmholtz decomposition in computational mechanics Dissertationsschrift, Humboldt-Universität zu Berlin.
  • Korman J., McCann R., Seis C. 2015. ‘An elementary approach to linear programming duality with application to capacity constrained transport.’ Journal of Convex Analysis 22, Nr. 3: 797–808.
  • Seis C. 2015. ‘Scaling bounds on dissipation in turbulent flows.’ Journal of Fluid Mechanics 777: 591–603. doi: 10.1017/jfm.2015.384.
  • McCann R., Seis C. 2015. ‘The Spectrum of a Family of Fourth-Order Nonlinear Diffusions Near the Global Attractor.’ Communications in Partial Differential Equations 40, Nr. 2: 191–218. doi: 10.1080/03605302.2014.963605.
  • Korman J., McCann R., Seis C. 2015. ‘Dual potentials for capacity constrained optimal transport.’ Calculus of Variations and Partial Differential Equations 54, Nr. 1: 573–584. doi: 10.1007/s00526-014-0795-9.
  • Koenders C, Glassmeier K, Richter I, Ranocha H, Motschmann U. 2015. ‘Dynamical features and spatial structures of the plasma interaction region of 67P/Churyumov-Gerasimenko and the solar wind.’ Planetary and Space Science 105: 101–116. doi: 10.1016/j.pss.2014.11.014.
  • Engwer C, Knappitsch M, Surulescu C. 2015. ‘A multiscale model for glioma spread including cell-fibre interactions and proliferation.’ Mathematical Biosciences and Engineering 13, Nr. 2: 443–460. doi: 10.3934/mbe.2015011.
  • Leibner Tobias. 2015. Numerical methods for kinetic equations (Master's thesis).

  2014

  • Moeller, Michael H. M.H., Brinkmann, Eva Maria E.M., Burger, Martin M., Seybold, Tamara T.,. 2014. ‘Color Bregman TV.’ SIAM Journal on Imaging Sciences 7, Nr. 4: 2806. doi: 10.1137/130943388.
  • Burger, Martin, Lucka, Felix,. 2014. ‘Maximum a posteriori estimates in linear inverse problems with log-concave priors are proper Bayes estimators.’ Inverse Problems 30, Nr. 11. doi: 10.1088/0266-5611/30/11/114004.
  • Otto, Felix; Weber, Hendrik; Westdickenberg, Maria G. 2014. ‘Invariant measure of the stochastic Allen-Cahn equation: the regime of small noise and large system size.’ Electronic Journal of Probability 19: 1–76. doi: 10.1214/EJP.v19-2813.
  • Hairer, Martin; Maas, Jan; Weber, Hendrik. 2014. ‘Approximating Rough Stochastic PDEs.’ Communications on Pure and Applied Mathematics 67, Nr. 5: 776–870. doi: 10.1002/cpa.21495.
  • Menz G, Schlichting A. 2014. ‘Poincaré and logarithmic Sobolev inequalities by decomposition of the energy landscape.’ Annals of Probability 42, Nr. 5: 1809–1884. doi: 10.1214/14-AOP908.
  • Ansini N, Dal Maso G, Zeppieri C.I. 2014. ‘New results on Γ-limits of integral functionals.’ Ann. Inst. H. Poincaré Anal. Non Linéaire 31: 185–202.
  • Müller S, Scardia L, Zeppieri C.I. 2014. ‘Geometric rigidity for incompatible fields and an application to strain-gradient plasticity.’ Indiana univ. Math. J. 63: 1365–1396.
  • Freistühler, Heinrich; Fuhrmann, Jan, Stevens, Angela. 2014. ‘Traveling waves emerging in a diffusive moving filament system.’ In Managing complexity, reducing perplexity, Modeling biological systems, edited by Ajmone-Marsan Giulia; Delitala, Marcello, 91–99. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-319-03759-2_10.
  • Stevens, Angela. 2014. Mathematische Modellierung von Strukturbildung in zellulären Systemen. Paderborn: Ferdinand Schöningh.
  • Himpe C, Ohlberger M. 2014. ‘Combined State and Parameter Reduction.’ Contributed to the 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen. doi: 10.1002/pamm.201410393.
  • Henning Patrick, Ohlberger Mario, Schweizer Benn. 2014. ‘An adaptive Multiscale Finite Element Method.’ Multiscale Mod. Simul. 12, Nr. 3: 1078–1107. doi: 10.1137/120886856.
  • Mikula K, Ohlberger M, Urban J. 2014. ‘Inflow-Implicit/Outflow-Explicit Finite Volume Methods for Solving Advection Equations.’ Applied Numerical Mathematics 85: 16–37. doi: 10.1016/j.apnum.2014.06.002.
  • Marschall H, Boden S, Lehrenfeld C, Falconi Delgado C, Hampel U, Reusken A, Wörner M, Bothe D. 2014. ‘Validation of Interface Capturing and Tracking Techniques with different Surface Tension Treatments against a Taylor Bubble Benchmark Problem.’ Comput. & Fluids 102: 336–352. doi: 10.1016/j.compfluid.2014.06.030.
  • Haasdonk B, Ohlberger M. 2014. „Wenn die Probleme zahlreicher werden: Reduzierte Basis Methoden f\ür effiziente und gesicherte numerische Simulation.“ GAMM Rundbrief 2014/1: 6–13.
  • Fuhrmann J, Ohlberger M, Rohde C. 2014. Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects - FVCA 7, Berlin, June 2014. Basel : Springer International Publishing. doi: 10.1007/978-3-319-05684-5.
  • Fuhrmann J, Ohlberger M, Rohde C. 2014. Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems - FVCA 7, Berlin, June 2014. Basel : Springer International Publishing. doi: 10.1007/978-3-319-05591-6.
  • Girke S, Klöfkorn R, Ohlberger M. 2014. ‘Efficient Parallel Simulation of Atherosclerotic Plaque Formation Using Higher Order Discontinuous Galerkin Schemes.’ In Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, edited by Fuhrmann J, Ohlberger M, Rohde C, 617–625. Basel : Springer International Publishing. doi: 10.1007/978-3-319-05591-6_61.
  • Ohlberger M, Schindler F. 2014. ‘A-Posteriori Error Estimates for the Localized Reduced Basis Multi-Scale Method.’ In Finite Volumes for Complex Applications VII-Methods and Theoretical Aspects, edited by , Rohde C, 421–429. Basel : Springer International Publishing. doi: 10.1007/978-3-319-05684-5_41.
  • Ohlberger M, Rave S, Schmidt S, Zhang S. 2014. ‘A Model Reduction Framework for Efficient Simulation of Li-Ion Batteries.’ In Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, edited by Fuhrmann J, Ohlberger M, Rohde C, 695–702. Heidelberg: Springer. doi: 10.1007/978-3-319-05591-6_69.
  • Ohlberger M, Smetana K. 2014. ‘A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction.’ SIAM Journal on Scientific Computing 36, Nr. 2: A714–A736. doi: 10.1137/130939122.
  • Berninger H, Ohlberger M, Sander O, Smetana K. 2014. ‘Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions.’ Math. Models and Methods in Appl. Sciences 24, Nr. 5: 901–936. doi: 10.1142/S0218202513500711.
  • Himpe C, Ohlberger M. 2014. ‘Model Reduction for Complex Hyperbolic Networks.’ Contributed to the 13th European Control Conference (ECC), June 24-27, 2014, Strasbourg, France. doi: 10.1109/ECC.2014.6862188.
  • Himpe C, Ohlberger M. 2014. ‘Cross-Gramian Based Combined State and Parameter Reduction for Large-Scale Control Systems.’ Mathematical Problems in Engineering 2014: 1–13. doi: 10.1155/2014/843869.
  • John V, Schumacher L. 2014. ‘A study of isogeometric analysis for scalar convection–diffusion equations.’ Applied Mathematics Letters 27: 43–48. doi: 10.1016/j.aml.2013.08.004.
  • Vorwerk J, Wagner S, Aydin Ü, Engwer C, Wolters C. 2014. ‘New Methodology for the Forward Problem in EEG/MEG Source Analysis and in Brain Stimulation.’ Biomedical Engineering / Biomedizinische Technik 59: 657.
  • Engwer C. 2014. ‘DTI-based multi-scale modelling and simulation of glioma growth.’ Oberwolfach Reports 2014.
  • Bastian P, Engwer C, Göddeke D, Iliev O, Ippisch O, Ohlberger M, Turek S, Fahlke J, Kaulmann S, Müthing S, Ribbrock D. 2014. ‘EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications.’ In Euro-Par 2014: Parallel Processing Workshops, edited by Lopes L., Žilinskas J., Costan A., Cascella R.G., Kecskemeti G., Jeannot E., Cannataro M., Ricci L., Benkner S., Petit S., Scarano V., Gracia J., Hunold S., Scott S.L., Lankes S., Lengaue C., Carretero J., Breitbart J., Alexander M., 530–541. Basel : Springer International Publishing. doi: 10.1007/978-3-319-14313-2_45.
  • Giese W, Eigel M, Westerheide S, Engwer C, Klipp E. 2014. Influence of cell shape, inhomogeneities and diffusion barriers in cell polarization models , 2014. doi: 10.1088/1478-3975/12/6/066014.
  • Engwer C, Kunisch K, Nagaiah C. 2014. ‘Boundary control of bidomainequations with state dependentswitching source functions in theionic model.’ Journal of Computational Physics 273: 227–242.
  • Engwer C, Fahlke J. 2014. ‘Scalable hybrid parallelization strategies for the DUNE grid interface.’ In Numerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2013, 583–590. doi: 10.1007/978-3-319-10705-9_57.
  • Engwer C, Westerheide S. 2014. ‘Heterogenous coupling for implicitly described domains.’ In Domain Decomposition Methods in Science and Engineering XXI, edited by Erhel Jocelyne, Gander Martin J., Halpern Laurence, Pichot Géraldine, Sassi Taoufik, Widlund Olof, 809–817. Basel : Springer International Publishing. doi: 10.1007/978-3-319-05789-7_78.
  • Remmel H, Paech B, Engwer C, Bastian P. 2014. ‘A Case Study on a Quality Assurance Process for a Scientific Framework.’ IEEE Computing in Science and Engineering 16, Nr. 3: 58–66.
  • Buhr A, Engwer C, Ohlberger M, Rave S. 2014. ‘A Numerically Stable A Posteriori Error Estimator for Reduced Basis Approximations of Elliptic Equations.’ In 11th World Congress on Computational Mechanics, WCCM 2014, 5th European Conference on Computational Mechanics, ECCM 2014 and 6th European Conference on Computational Fluid Dynamics, ECFD 2014, edited by E. Onate XO, Huerta A, 4094–4102. Barcelona: CIMNE.
  • Moller M., Burger M., Dieterich P., Schwab A. 2014. ‘A framework for automated cell tracking in phase contrast microscopic videos based on normal velocities.’ Journal of Visual Communication and Image Representation 25, Nr. 2: 396–409. doi: 10.1016/j.jvcir.2013.12.002.
  • Burger M., Fetecau R., Huang Y. 2014. ‘Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion.’ SIAM Journal on Applied Dynamical Systems 13, Nr. 1: 397–424. doi: 10.1137/130923786.
  • Egger H., Schlottbom M. 2014. ‘Stationary radiative transfer with vanishing absorption.’ Mathematical Models and Methods in Applied Sciences 24, Nr. 5: 973–990. doi: 10.1142/S0218202513500735.
  • Egger H., Pietschmann J., Schlottbom M. 2014. ‘Simultaneous identification of diffusion and absorption coefficients in a quasilinear elliptic problem.’ Inverse Problems 30, Nr. 3. doi: 10.1088/0266-5611/30/3/035009.
  • Egger H., Schlottbom M. 2014. ‘Numerical methods for parameter identification in stationary radiative transfer.’ Computational Optimization and Applications 62, Nr. 1: 67–83. doi: 10.1007/s10589-014-9657-9.
  • Egger H., Pietschmann J., Schlottbom M. 2014. ‘Numerical identification of a nonlinear diffusion law via regularization in Hilbert scales.’ Inverse Problems 30, Nr. 2. doi: 10.1088/0266-5611/30/2/025004.
  • Egger H., Schlottbom M. 2014. ‘Diffusion asymptotics for linear transport with low regularity.’ Asymptotic Analysis 89, Nr. null: 365–377. doi: 10.3233/ASY-141235.
  • Egger H., Schlottbom M. 2014. ‘An Lp theory for stationary radiative transfer.’ Applicable Analysis 93, Nr. 6: 1283–1296. doi: 10.1080/00036811.2013.826798.
  • Wirth B, Sobey I, Eisenträger A. 2014. ‘Conditions for choking in a poroelastic flow model.’ The IMA Journal of Applied Mathematics 79, Nr. 2: 254–273.
  • Elsey M, Wirth B. 2014. ‘Fast automated detection of crystal distortion and crystal defects in polycrystal images.’ SIAM Multiscale Modeling and Simulation 12, Nr. 1: 1–24. doi: 10.1137/130916515.
  • Heeren B, Rumpf M, Schröder P, Wardetzky M, Wirth B. 2014. ‘Exploring the geometry of the space of shells.’ Computer Graphics Forum 33, Nr. 5.
  • Kohn Robert V., Wirth Benedikt. 2014. ‘Optimal fine-scale structures in compliance minimization for a uniaxial load.’ Proceedings of the Royal Society A 470, Nr. 2170: 20140432–20140448.
  • Brancolini A., Solimini S. 2014. ‘Fractal regularity results on optimal irrigation patterns.’ Journal de Mathématiques Pures et Appliquées 2014, Nr. Vol. 102, n. 5. doi: 10.1016/j.matpur.2014.02.008.
  • Herrmann M, Niethammer B, Velázquez JJL. 2014. ‘Rate-independent dynamics and Kramers-type phase transitions in nonlocal Fokker-Planck equations with dynamical control.’ Archive for Rational Mechanics and Analysis 124, Nr. 3: 803–866. doi: 10.1007/s00205-014-0782-5.
  • Friedrich M, Schmidt B. 2014. ‘An atomistic-to-continuum analysis of crystal cleavage in a two-dimensional model problem.’ J. Nonlin. Sci. 24: 145–183. doi: 10.1007/s00332-013-9187-0.
  • Gallistl D., Schedensack M., Stevenson R. 2014. ‘A remark on newest vertex bisection in any space dimension.’ Computational Methods in Applied Mathematics 14, Nr. 3: 317–320. doi: 10.1515/cmam-2014-0013.
  • Seis C. 2014. ‘Long-time asymptotics for the porous medium equation: The spectrum of the linearized operator.’ Journal of Differential Equations 256, Nr. 3: 1191–1223. doi: 10.1016/j.jde.2013.10.013.
  • Xu Q, Sawatzky A, Anastasio M, Schirra C. 2014. ‘Sparsity-Regularized Image Reconstruction of Decomposed K-edge Data in Spectral CT.’ Physics in Medicine and Biology 59, Nr. 10. doi: 10.1088/0031-9155/59/10/N65.
  • Xu Q, Sawatzky A, Anastasio M. 2014. ‘A Multi-Channel Image Reconstruction Method for Grating-Based X-ray Phase-Contrast Computed Tomography.’ Contributed to the SPIE Medical Imaging 2014, San Diego, California, USA. doi: 10.1117/12.2043732.
  • Burger, Martin M., Müller, Jahn J., Papoutsellis, E. E., Schönlieb, Carola Bibiane C.B.,. 2014. ‘Total variation regularization in measurement and image space for PET reconstruction.’ Inverse Problems 30, Nr. 10. doi: 10.1088/0266-5611/30/10/105003.
  • Suhr, Sebastian , Tenbrinck, Danie , Burger, Martin , Modersitzki, Jan.,. 2014. ‘Registration of noisy images via maximum a-posteriori estimation.’ Lecture notes in computer science 8545 LNCS: 240. doi: 10.1007/978-3-319-08554-8_24.
  • Burger, Martin M., Caffarelli, Luis A. L.A., Markowich, Peter P., Wolfram, Marie Therese M.T.,. 2014. ‘On the asymptotic behavior of a boltzmann-type price formation model.’ Communications in Mathematical Sciences 12, Nr. 7: 1361. doi: 10.4310/CMS.2014.v12.n7.a10.
  • Burger, Martin, Caffarelli, Luis A., Markowich, Peter A.,. 2014. ‘Partial differential equation models in the socio-economic sciences.’ Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, Nr. 2028. doi: 10.1098/rsta.2013.0406.
  • Burger, Martin M., Di Francesco, Marco M., Markowich, Peter P., Wolfram, Marie Therese M.T.,. 2014. ‘Mean field games with nonlinear mobilities in pedestrian dynamics.’ Discrete and Continuous Dynamical Systems - Series B 19, Nr. 5: 1333. doi: 10.3934/dcdsb.2014.19.1311.
  • Burger, Martin, Modersitzki, Jan , Tenbrinck, Daniel,. 2014. ‘Mathematical methods in biomedical imaging.’ GAMM-Mitteilungen / GAMM-Reports 37, Nr. 2: 183. doi: 10.1002/gamm.201410008.
  • Engbers, Ralf R., Burger, Martin M., Capasso, Vincenzo V.,. 2014. ‘Inverse problems in geographical economics: Parameter identification in the spatial Solow model.’ Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 372, Nr. 2028. doi: 10.1098/rsta.2013.0402.

  2013

  • Gigengack F, Ruthotto L, Jiang X, Modersitzki J, Burger M, Hermann S, Schäfers KP. 2013. ‘Atlas-based whole-body PET-CT segmentation using a passive contour distance.’ Lecture notes in computer science 7766 LNCS: 82–92.
  • Hairer, Martin; Weber, Hendrik. 2013. Rough Burgers-like equations with multiplicative noise. doi: 10.1007/s00440-011-0392-1.
  • Hairer, Martin; Weber, Hendrik. 2013. ‘Rough Burgers-like equations with multiplicative noise.’ Probability Theory and Related Fields 157, Nr. 3-4: 71–126. doi: 10.1007/s00440-013-0538-4.
  • Röger, Matthias; Weber, Hendrik. 2013. ‘Tightness for a stochastic Allen–Cahn equation.’ Stochastics and Partial Differential Equations: Analysis and Computations 1: 175–203. doi: 10.1007/s40072-013-0004-4.
  • Blömker D, Jentzen A. 2013. ‘Galerkin approximations for the stochastic Burgers equation.’ SIAM Journal on Numerical Analysis 51, Nr. 1: 694–715. doi: 10.1137/110845756.
  • Hutzenthaler M, Jentzen A, Kloeden PE. 2013. ‘Divergence of the multilevel Monte Carlo Euler method for nonlinear stochastic differential equations.’ Annals of Applied Probability 23, Nr. 5: 1913–1966. doi: 10.1214/12-AAP890.
  • Ansini N, Dal Maso G, Zeppieri C.I. 2013. ‘Γ-convergence and H-convergence of linear elliptic operators.’ J. Math. Pures Appl. 99: 321–329.
  • Primi, Ivano; Stevens, Angela; Velázquez, Juan J. L. 2013. ‘Pattern forming instabilities driven by non-diffusive interaction.’ Networks and Heterogeneous Media 2013, Nr. 8, no. 1: 397–432. doi: 10.3934/nhm.2013.8.397.
  • Henning P, Ohlberger M, Schweizer B. 2013. ‘Homogenization of the degenerate two-phase flow equations.’ Math. Models and Methods in Appl. Sciences 23, Nr. 12: 2323–2352. doi: 10.1142/S0218202513500334.
  • Aland S, Lehrenfeld C, Marschall H, Meyer C, Weller S. 2013. ‘Accuracy of Two-Phase Flow Simulations.’ In Proc. Appl. Math. Mech., 595–598. Heidelberg: Springer. doi: 10.1002/pamm.201310278.
  • Albrecht F, Ohlberger M. 2013. ‘The localized reduced basis multi-scale method with online enrichment.’ Oberwolfach Reports 7: 406–409. doi: 10.4171/OWR/2013/07.
  • Ohlberger M, Rave S. 2013. ‘Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing.’ C. R. Acad. Sci. Paris, Ser. I 351: 901–906. doi: 10.1016/j.crma.2013.10.028.
  • Ohlberger M, Schaefer M. 2013. ‘Error Control Based Model Reduction for Parameter Optimization of Elliptic Homogenization Problems.’ In Proceedings of the 1st IFAC Workshop on Control of Systems Governed by Partial Differential Equations. doi: 10.3182/20130925-3-FR-4043.00053.
  • Schöberl J, Lehrenfeld C. 2013. ‘Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes.’ In Advanced Finite Element Methods and Applications, edited by Apel Thomas, Steinbach Olaf, 27–56. Düsseldorf: Springer VDI Verlag.
  • Lehrenfeld C, Reusken A. 2013. ‘Analysis of a DG-XFEM Discretization for a Class of Two-Phase Mass Transport Problems.’ SIAM J. Numer. Anal. 51: 958–983. doi: 10.1137/120875260.
  • Remmel H, Paech B, Engwer C, Bastian P. 2013. ‘Design and Rationale of a Quality Assurance Process for a Scientific Framework.’ In Proceeding of the 2013 International workshop on Software engineering for computational science and engineering, 58–67. doi: 10.1109/SECSE.2013.6615100.
  • Heimann F, Engwer C, Ippisch O, Bastian P. 2013. ‘An Unfitted Interior Penalty Discontinuous Galerkin Method for Incompressible Navier-Stokes Two-Phase Flow.’ International Journal for Numerical Methods in Fluids 71, Nr. 3: 269–293. doi: 10.1002/fld.3653.
  • Burger M., Osher S. 2013. ‘A guide to the TV zoo.’ In Level Set and PDE-based Reconstruction Methods, edited by Burger Martin, Osher Stanley, 1–70. N/A: unbekannt / n.a. / unknown. doi: 10.1007/978-3-319-01712-9-1.
  • Sawatzky Alex, Tenbrinck Daniel, Jiang Xiaoyi, Burger Martin. 2013. ‘A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models.’ Journal of Mathematical Imaging and Vision 47, Nr. 3: 179–209.
  • Burger M., Di Francesco M., Franek M. 2013. ‘Stationary states of quadratic diffusion equations with long-range attraction.’ Communications in Mathematical Sciences 11, Nr. 3: 709–738. doi: 10.4310/CMS.2013.v11.n3.a3.
  • Pietschmann J.-F., Wolfram M.-T., Burger M., Trautmann C., Nguyen G., Pevarnik M., Bayer V., Siwy Z. 2013. ‘Rectification properties of conically shaped nanopores: Consequences of miniaturization.’ Physical Chemistry Chemical Physics 15, Nr. 39: 16917–16926. doi: 10.1039/c3cp53105h.
  • Burger M., Caffarelli L., Markowich P.A., Wolfram M.-T. 2013. ‘On a Boltzmann-type price formation model.’ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469, Nr. 2157. doi: 10.1098/rspa.2013.0126.
  • Moeller M., Burger M. 2013. ‘Multiscale methods for polyhedral regularizations.’ SIAM Journal on Optimization 23, Nr. 3: 1424–1456. doi: 10.1137/110858136.
  • Burger M., Haskovec J., Wolfram M.-T. 2013. ‘Individual based and mean-field modeling of direct aggregation.’ Physica D: Nonlinear Phenomena 260, Nr. null: 145–158. doi: 10.1016/j.physd.2012.11.003.
  • Benning M., Brune C., Burger M., Muller J. 2013. ‘Higher-order TV methods - Enhancement via Bregman iteration.’ Journal of Scientific Computing 54, Nr. null: 269–310. doi: 10.1007/s10915-012-9650-3.
  • Burger M., Flemming J., Hofmann B. 2013. ‘Convergence rates in ℓ1-regularization if the sparsity assumption fails.’ Inverse Problems 29, Nr. 2. doi: 10.1088/0266-5611/29/2/025013.
  • Burger M., Modersitzki J., Ruthotto L. 2013. ‘A hyperelastic regularization energy for image registration.’ SIAM Journal on Scientific Computing 35, Nr. 1. doi: 10.1137/110835955.
  • Lang T., Dechant M., Sanchez V., Wistuba J., Boiani M., Pilatz A., Stammler A., Middendorff R., Schuler G., Bhushan S., Tchatalbachev S., Wubbeling F., Burger M., Chakraborty T., Mallidis C., Meinhardt A. 2013. ‘Structural and functional integrity of spermatozoa is compromised as a consequence of acute uropathogenic E. Coli-associated epididymitis.’ Biology of Reproduction 89, Nr. 3. doi: 10.1095/biolreprod.113.110379.
  • Burger M., Pietschmann J.-F., Wolfram M.-T. 2013. ‘Identification of nonlinearities in transport-diffusion models of crowded motion.’ Inverse Problems and Imaging 7, Nr. 4: 1157–1182. doi: 10.3934/ipi.2013.7.1157.
  • Sawatzky A., Brune C., Kosters T., Wubbeling F., Burger M. 2013. ‘EM-TV methods for inverse problems with poisson noise.’ In Level Set and PDE-based Reconstruction Methods, edited by Burger Martin, Osher Stanley, 71–142. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-319-01712-9-2.
  • Bredies K, Pock T, Wirth B. 2013. ‘Convex relaxation of a class of vertex penalizing functionals.’ Journal of Mathematical Imaging and Vision 47, Nr. 3: 278–302. doi: 10.1007/s10851-012-0347-x.
  • Elsey M, Wirth B. 2013. ‘Segmentation of Crystal Defects via Local Analysis of Crystal Distortion.’ In Proceedings of the 8'th International Conference on Computer Vision Theory and Applications (VISAPP'13).
  • Elsey M, Wirth B. 2013. ‘A simple and efficient scheme for phase field crystal simulation.’ ESAIM: M2AN 47, Nr. 5: 1413–1432. doi: 10.1051/m2an/2013074.
  • Rumpf M, Wirth B. 2013. ‘Discrete geodesic calculus in the space of viscous fluidic objects.’ SIAM Journal on Imaging Sciences 6, Nr. 4.
  • Franken M, Rumpf M, Wirth B. 2013. ‘A Phase Field based PDE Constraint Optimization Approach to Time Discrete Willmore Flow.’ International Journal of Numerical Analysis and Modeling 10, Nr. 1: 116–138.
  • Berkels B, Fletcher T, Heeren B, Rumpf M, Wirth B. 2013. ‘Discrete geodesic regression in shape space.’ In 9th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition.
  • Herrmann M. 2013. ‘Ground waves in atomic chains with bi-monomial double-well potential.’ Nonlinear Analysis: Theory, Methods and Applications 76: 41–51. doi: 10.1016/j.na.2012.07.013.
  • Herrmann M, Matthies K, Schwetlick H, Zimmer J. 2013. ‘Subsonic phase transition waves in bistable lattice models with small spinodal region.’ SIAM Journal on Mathematical Analysis 45, Nr. 5: 2625–2645. doi: 10.1137/120877878.
  • Helmers M, Herrmann M. 2013. ‘Interface dynamics in discrete forward-backward diffusion equations.’ Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 11, Nr. 4: 1261–1297. doi: 10.1137/130915959.
  • Dassisti M., Maddalena F., Brancolini A., Chimienti M., Granieri L. 2013. ‘Variational techniques for assessing the technological signature of flat surfaces.’ Optimization and Engineering 14, Nr. 1: 155–174. doi: 10.1007/s11081-011-9173-z.
  • Carstensen C., Gallistl D., Schedensack M. 2013. ‘Discrete reliability for Crouzeix-Raviart FEMs.’ SIAM Journal on Numerical Analysis 51, Nr. 5: 2935–2955. doi: 10.1137/130915856.
  • Carstensen C., Gallistl D., Schedensack M. 2013. ‘Quasi-optimal adaptive pseudostress approximation of the Stokes equations.’ SIAM Journal on Numerical Analysis 51, Nr. 3: 1715–1734. doi: 10.1137/110852346.
  • Otto F., Seis C., Slepčev D. 2013. ‘Crossover of the coarsening rates in demixing of binary viscous liquids.’ Communications in Mathematical Sciences 11, Nr. 2: 441–464.
  • Seis C. 2013. ‘Maximal mixing by incompressible fluid flows.’ Nonlinearity 26, Nr. 12: 3279–3289. doi: 10.1088/0951-7715/26/12/3279.
  • Seis C. 2013. ‘Laminar Boundary Layers in Convective Heat Transport.’ Communications in Mathematical Physics 324, Nr. 3: 995–1031. doi: 10.1007/s00220-013-1826-7.
  • Mugnai, Luca; Seis, Christian. 2013. ‘On the coarsening rates for attachment-limited kinetics.’ SIAM Journal on Mathematical Analysis 45, Nr. 1: 324–344. doi: 10.1137/120865197.
  • Sawatzky A, Brune C, Kösters T, Wübbeling F, Burger M. 2013. ‘EM-TV Methods for Inverse Problems with Poisson Noise.’ In Level Set and PDE Based Reconstruction Methods in Imaging, edited by Burger M, Osher S, 71–142. doi: 10.1007/978-3-319-01712-9_2.
  • Janssen A M, Rampersad S M, Lucka F, Lanfer B, Lew S, Aydin Ü, Wolters CH, Stegeman D F, Oostendorp T F. 2013. ‘The influence of sulcus width on simulated electric fields induced by transcranial magnetic stimulation.’ Physics in Medicine and Biology 58, Nr. 14: 4881. doi: 10.1088/0031-9155/58/14/4881.
  • Pursiainen S, Lucka F, Wolters CH. 2013. ‘Complete electrode model in EEG: relationship and differences to the point electrode model (vol 57, pg 999, 2012).’ Physics in Medicine and Biology 58, Nr. 185: 185–185. doi: 10.1088/0031-9155/58/1/185.
  • Ohlberger M, Albrecht F, Drohmann M, Henning P, Kaulmann S, Schweizer B. 2013. ‘Model reduction for multiscale problems.’ Oberwolfach Reports 39: 2228–2230. doi: 10.4171/OWR/2013/39.
  • Burger M, Dirks H, Müller J. 2013. ‘Inverse problems in imaging.’ Large Scale Inverse Problems. Computational Methods and Applications in the Earth Sciences (M. Cullen, MA Freitag, S. Kindermann, and R. Scheichl, eds.), Radon Ser. Comput. Appl. Math 13: 135–180.
  • Himpe C, Ohlberger M. 2013. ‘A Unified Software Framework for Empirical Gramians.’ Journal of Mathematics 2013, Nr. 2013: 1–6. doi: 10.1155/2013/365909.
  • Burger, Martin, Di Francesco, Marco , Markowich, Peter , Wolfram, Marie Therese,. 2013. ‘On a mean field game optimal control approach modeling fast exit scenarios in human crowds.’ Contributed to the Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, Firenze. doi: 10.1109/CDC.2013.6760360.
  • Burger M, Möller M, Benning M, Osher S. 2013. ‘An adaptive inverse scale space method for compressed sensing.’ Mathematics of Computation 82: 269–299. doi: 10.1090/S0025-5718-2012-02599-3.

  2012

  • Stück R, Burger M, Hohage T. 2012. ‘The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy.’ Inverse Problems 28, Nr. 1. doi: 10.1088/0266-5611/28/1/015012.
  • Möller M, Wittman T, Bertozzi AL, Burger M. 2012. ‘A variational approach for sharpening high dimensional images.’ SIAM Journal on Imaging Sciences 5, Nr. 1: 150–178. doi: 10.1137/100810356.
  • Engbers R, Benning M, Heins P, Schäfers K, Burger M. 2012. ‘Sparse recovery in myocardial blood flow quantification via PET.’ Contributed to the IEEE NSS/MIC, San Diego.
  • Müller J, Brune C, Sawatzky A, Kösters T, Schäfers KP, Burger M. 2012. ‘Reconstruction of short time PET scans using Bregman iterations.’ Contributed to the IEEE NSS/MIC, San Diego.
  • Burger M, Schlake B, Wolfram M-T. 2012. ‘Nonlinear Poisson-Nernst-Planck equations for ion flux through confined geometries.’ Nonlinearity 25, Nr. 4: 961–990. doi: 10.1088/0951-7715/25/4/961.
  • Lucka, F. 2012. ‘Fast Markov chain Monte Carlo sampling for sparse Bayesian inference in high-dimensional inverse problems using L1-type priors .’ Inverse Problems 28, Nr. 12: 125012. doi: 10.1088/0266-5611/28/12/125012.
  • Hairer, Martin; Ryser, Marc D.; Weber, Hendrik. 2012. ‘Triviality of the 2D stochastic Allen-Cahn equation.’ Electronic Journal of Probability 17, Nr. 39: 1–14. doi: 10.1214/EJP.v17-1731.
  • Jentzen A, Röckner M. 2012. ‘Regularity analysis for stochastic partial differential equations with nonlinear multiplicative trace class noise.’ Journal of Differential Equations 252, Nr. 1: 114–136. doi: 10.1016/j.jde.2011.08.050.
  • Scardia L, Zeppieri C.I. 2012. ‘Line-tension model for plasticity as the Γ-limit of a nonlinear dislocation energy.’ SIAM Journal on Mathematical Analysis 44, Nr. 4: 2372–2400. doi: 10.1137/110824851.
  • Ansini N., Zeppieri C.I.,. 2012. ‘Asymptotic analysis of nonsymmetric linear operators via Γ-convergence.’ SIAM Journal on Mathematical Analysis 44, Nr. 3: 1617–1635. doi: 10.1137/110834330.
  • Espejo, Elio E.; Stevens, Angela; Suzuki, Takashi. 2012. ‘Simultaneous Blowup and Mass Separation During Collapse in an Interacting System of Chemotactic Species.’ Differential and Integral Equations 25, Nr. 3-4: 251–288. doi: 10.57262/die/1356012736.
  • Stevens, Angela; Velazquez, Juan J. L. 2012 Asymptotic Analysis of a Chemotaxis System with Non-Diffusive Memory MiS Preprint Repository.
  • Ohlberger M. 2012. ‘Error control based model reduction for multiscale problems.’ In Proceedings of Algoritmy 2012, Conference on Scientific Computing, Vysoke Tatry, Podbanske, September 9-14, 2012, edited by Slovak University of Technology in Bratislava, Publishing House of STU, 1–10.
  • Bastian P, Berninger H, Dedner A, Engwer C, Henning P, Kornhuber R, Kröner D, Ohlberger M, Sander O, Schiffler G, Shokina N, Smetana K. 2012. ‘Adaptive Modelling of Coupled Hydrological Processes with Application in Water Management.’ In Progress in Industrial Mathematics at ECMI 2010, 561–567. Heidelberg: Springer. doi: 10.1007/978-3-642-25100-9_65.
  • Ohlberger M, Schaefer M. 2012. ‘A reduced basis method for parameter optimization of multiscale problems.’ In Submitted to Algoritmy 2012, Conference on Scientific Computing, Vysoke Tatry, Podbanske, September 9-14, 2012.
  • Rave S. 2012. On Finitely Summable K-Homology Dissertationsschrift, Universität Münster.
  • Albrecht F, Haasdonk B, Kaulmann S, Ohlberger M. 2012. ‘The Localized Reduced Basis Multiscale Method.’ Contributed to the Algoritmy 2012, Conference on Scientific Computing, Vysoke Tatry, Podbanske, September 9-14, 2012, Vysoke Tatry, Podbanske.
  • Bernard-Champmartin A, Deriaz E, Hoch P, Samba G, Schaefer M. 2012. ‘Extension of centered hydrodynamical schemes to unstructured deforming conical meshes: the case of circles.’ In CEMRACS'11: Multiscale Coupling of Complex Models in Scientific Computing, 135–162. Les Ulis: EDP Sciences. doi: 10.1051/proc/201238008.
  • Lehrenfeld Christoph, Reusken Arnold. 2012. ‘Nitsche-XFEM with Streamline Diffusion Stabilization for a Two-Phase Mass Transport Problem.’ SIAM J. Sci. Comput. 34: 2740–2759. doi: 10.1137/110855235.
  • Koutschan Christoph, Lehrenfeld Christoph, Schöberl Joachim. 2012. ‘Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwells Equations.’ In Numerical and Symbolic Scientific Computing: Progress and Prospects, edited by Ulrich Langer PP, 105–122. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-7091-0794-2_6.
  • Remmel H, Paech B, Engwer C, Bastian P. 2012. ‘System Testing for a Scientific Framework Using a Regression Test Environment.’ Computing in Science and Engeneering 14, Nr. 2: 38–45. doi: 10.1109/MCSE.2011.115.
  • Engwer C, Heimann F. 2012. ‘DUNE-UDG: A Cut-Cell Framework for Unfitted Discontinuous Galerkin Methods.’ In Advances in DUNE, edited by Dedner A, Flemisch B, Klöfkorn R, 89–100. Heidelberg: Springer. doi: 10.1007/978-3-642-28589-9_7.
  • Vorwerk J, Clerc M, Burger M, Wolters CH. 2012. ‘Comparison of boundary element and finite element approaches to the EEG forward problem.’ Biomedical Engineering / Biomedizinische Technik 57 Suppl 1.
  • Wagner S, Lucka F, Burger M, Grasedyck L, Haueisen J, Wolters CH. 2012. ‘Comparison of direct and reciprocal forward modeling approaches in EEG source analysis.’ Biomedical Engineering / Biomedizinische Technik 57 1: –. doi: 10.1515/bmt-2012-4069.
  • Lucka F, Pursiainen S, Burger M, Wolters CH. 2012. ‘Hierarchical Bayesian inference for the EEG inverse problem using realistic FE head models: depth localization and source separation for focal primary currents.’ NeuroImage 61, Nr. 4: 1364–1382. doi: 10.1016/j.neuroimage.2012.04.017.
  • Ruthotto L, Kugel H, Olesch J, Fischer B, Modersitzki J, Burger M, Wolters CH. 2012. ‘Diffeomorphic susceptibility artifact correction of diffusion-weighted magnetic resonance images.’ Physics in Medicine and Biology 57, Nr. 18: 5715–5731.
  • Gigengack F, Ruthotto L, Burger M, Wolters C, Jiang X, Schafers K. 2012. ‘Motion Correction in Dual Gated Cardiac PET Using Mass-Preserving Image Registration.’ IEEE Transactions on Medical Imaging 31, Nr. 3: 698–712.
  • Gigengack F, Ruthotto L, Burger M, Wolters C, Jiang X, Schäfers K. 2012. ‘Motion correction in dual gated cardiac PET using mass preserving image registration.’ IEEE Transactions on Medical Imaging 31, Nr. 3: 171–174. doi: 10.1109/TMI.2011.2175402.
  • Möller M, Wittman T, Bertozzi A, Burger M. 2012. ‘A variational approach for sharpening high-dimensional images.’ SIAM Journal on Imaging Sciences 5, Nr. 1: 150–178. doi: 10.1137/100810356.
  • Stück R, Burger M, Hohage T. 2012. ‘The iteratively regularized Gauss-Newton method with convex constraints and applications in 4pi-microscopy.’ Inverse Problems 28. doi: 10.1088/0266-5611/28/1/015012.
  • Engbers R., Benning M., Heins P., Schafers K., Burger M. 2012. ‘Sparse recovery in myocardial blood flow quantification via PET.’ Contributed to the 2011 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2011, Valencia, esp. doi: 10.1109/NSSMIC.2011.6153707.
  • Burger M., Franek M., Schonlieb C.-B. 2012. ‘Regularized regression and density estimation based on optimal transport.’ Applied Mathematics Research eXpress 2012, Nr. 2: 209–253. doi: 10.1093/amrx/abs007.
  • Muller J., Brune C., Sawatzky A., Kosters T., Schafers K.P., Burger M. 2012. ‘Reconstruction of short time PET scans using Bregman iterations.’ Contributed to the 2011 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2011, Valencia, esp. doi: 10.1109/NSSMIC.2011.6153884.
  • Gigengack F., Ruthotto L., Kosters T., Jiang X., Modersitzki J., Burger M., Wolters C.H., Schafers K.P. 2012. ‘Pipeline for motion correction in dual gated PET.’ Contributed to the 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference Record, NSS/MIC 2012, Anaheim, CA, usa. doi: 10.1109/NSSMIC.2012.6551681.
  • Gigengack F., Ruthotto L., Burger M., Wolters C.H., Jiang X., Schafers K.P. 2012. ‘Mass-preserving motion correction of PET: Displacement field vs. spline transformation.’ Contributed to the 2011 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2011, Valencia, esp. doi: 10.1109/NSSMIC.2011.6152559.
  • Gigengack F., Ruthotto L., Burger M., Wolters C.H., Jiang X., Schafers K.P. 2012. ‘Mass-preserving motion correction of dual gated cardiac PET.’ Contributed to the 2011 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2011, Valencia, esp. doi: 10.1109/NSSMIC.2011.6153658.
  • Tenbrinck D., Sawatzky A., Jiang X., Burger M., Haffner W., Willems P., Paul M., Stypmann J. 2012. ‘Impact of physical noise modeling on image segmentation in echocardiography.’ Contributed to the 3rd Eurographics Workshop on VisualComputing in Biology and Medicine, EG VCBM 2012, Norrkoping, swe. doi: 10.2312/VCBM/VCBM12/033-040.
  • Gigengack F., Ruthotto L., Kosters T., Jiang X., Modersitzki J., Burger M., Hermann S., Schafers K.P. 2012. ‘Atlas-based segmentation using passive contours.’ Contributed to the 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference Record, NSS/MIC 2012, Anaheim, CA, usa. doi: 10.1109/NSSMIC.2012.6551688.
  • Ruthotto L., Gigengack F., Burger M., Wolters C.H., Jiang X., Schafers K.P., Modersitzki J. 2012. ‘A simplified pipeline for motion correction in dual gated cardiac PET.’ Contributed to the Workshops Bildverarbeitung fur die Medizin: Algorithmen - Systeme - Anwendungen, BVM 2012 - Workshop on Image Processing for Medicine: Algorithms - Systems - Applications, BVM 2012, Berlin, deu. doi: 10.1007/978-3-642-28502-8-11.
  • Penzler P, Rumpf M, Wirth B. 2012. ‘A Phase-Field Model for Compliance Shape Optimization in Nonlinear Elasticity.’ ESAIM: Control, Optimisation and Calculus of Variations 18, Nr. 1: 229–258. doi: 10.1051/cocv/2010045.
  • Heeren B, Rumpf M, Wardetzky M, Wirth B. 2012. ‘Time-Discrete Geodesics in the Space of Shells.’ Computer Graphics Forum 31, Nr. 5: 1755–1764. doi: 10.1111/j.1467-8659.2012.03180.x.
  • Sobey I, Eisenträger A, Wirth B, Czosnyka M. 2012. ‘Simulation of cerebral infusion tests using a poroelastic model.’ International Journal of Numerical Analysis and Modeling Series B 3, Nr. 1: 52–64.
  • Ring W, Wirth B. 2012. ‘Optimization methods on Riemannian manifolds and their application to shape space.’ SIAM Journal on Optimization 22, Nr. 2: 596–627. doi: 10.1137/11082885X.
  • Herrmann M, Schwetlick H, Zimmer J. 2012. ‘On selection criteria for problems with moving inhomogeneities.’ Continuum Mechanics and Thermodynamics 24, Nr. 1: 21–36. doi: 10.1007/s00161-011-0206-9.
  • Herrmann M. 2012. ‘Oscillatory waves in discrete scalar conservation laws.’ Mathematical Models and Methods in Applied Sciences 22, Nr. 1: 1150002, 21. doi: 10.1142/S021820251200585X.
  • Herrmann M, Laurençot P, Niethammer B. 2012. ‘Self-similar solutions to a kinetic model for grain growth.’ Journal of Nonlinear Science 22, Nr. 3: 399–427. doi: 10.1007/s00332-011-9122-1.
  • Herrmann M, Niethammer B, Velázquez JJL. 2012. ‘Kramers and non-Kramers phase transitions in many-particle systems with dynamical constraint.’ Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal 10, Nr. 3: 818–852. doi: 10.1137/110851882.
  • Carstensen C, Peterseim D, Schedensack M. 2012. ‘Comparison results of finite element methods for the Poisson model problem.’ SIAM J. Numer. Anal. 50, Nr. 6: 2803–2823. doi: 10.1137/110845707.
  • Wagner, S.; Vorwerk, J.; Ruthotto, L.; Kugel, H.; Burger, M.; Knösche, T.; Maess, B.; Wolters, C.H. 2012. ‘Sensitivity of EEG leads to volume conductor properties.’ Biomedical Engineering / Biomedizinische Technik 57 Suppl 1: 793. doi: 10.1515/bmt-2012-4065.
  • Wagner, S.; Vorwerk, J.; Ruthotto, L.; Kugel, H.; Burger, M.; Knösche, T.; Maess, B.; Wolters, C.H. 2012. ‘Sensitivity of EEG leads to volume conductor properties.’ Biomedical Engineering / Biomedizinische Technik 57, Nr. SI-1-Track-O: 793. doi: 10.1515/bmt-2012-4065.
  • Drohmann Martin , Haasdonk Bernard, Ohlberger, Mario. 2012. ‘Reduced Basis Model Reduction of Parametrized Two-Phase Flow in Porous Media.’ In 7th Vienna International Conference on Mathematical Modelling, 722–727. doi: 10.3182/20120215-3-AT-3016.00128.
  • Drohmann M, Haasdonk B, Ohlberger M. 2012. ‘Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation.’ SIAM Journal on Scientific Computing 34: A937–A969. doi: 10.1137/10081157X.
  • Hutzenthaler M, Jentzen A, Kloeden PE. 2012. ‘Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients.’ Annals of Applied Probability 22, Nr. 4: 1611–1641.
  • Lanfer B, Scherg M, Dannhauer M, Knösche TR, Burger M, Wolters CH. 2012. ‘Influences of skull segmentation inaccuracies on EEG source analysis.’ NeuroImage 62, Nr. 1: 418. doi: 10.1016/j.neuroimage.2012.05.006.
  • Lucka Felix, Pursiainen Sampsa, Burger Martin, Wolters Carsten H. 2012. ‘Hierarchical Bayesian inference for the EEG inverse problem using realistic FE head models: Depth localization and source separation for focal primary currents.’ NeuroImage 61, Nr. 4: 1364–1382. doi: 10.1016/j.neuroimage.2012.04.017.
  • Lucka Felix, Pursiainen Sampsa, Wolters Carsten H. 2012. ‘Complete electrode model in EEG: relationship and differences to the point electrode model.’ Physics in Medicine and Biology 57, Nr. 4: 999–1017. doi: 10.1088/0031-9155/57/4/999.

  2011

  • Lucka F, Pursiainen S, Burger M, Wolters CH. 2011. ‘Hierarchical bayesian models for eeg inversion: Depth localization and source separation for focal sources in realistic FE head models.’
  • Burger M. 2011. ‘Inverse problems in ion channel modelling.’ Inverse Problems 27, Nr. 8. doi: 10.1088/0266-5611/27/8/083001.
  • Jentzen A. 2011. ‘Higher order pathwise numerical approximations of SPDEs with additive noise.’ SIAM Journal on Numerical Analysis 49, Nr. 2: 642–667. doi: 10.1137/080740714.
  • Hutzenthaler M, Jentzen A, Kloeden PE. 2011. ‘Strong and weak divergence in finite time of Euler's method for stochastic differential equations with non-globally Lipschitz continuous coefficients.’ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 467, Nr. 2130: 1563–1576. doi: 10.1098/rspa.2010.0348.
  • Jentzen A, Kloeden P, Winkel G. 2011. ‘Efficient simulation of nonlinear parabolic SPDEs with additive noise.’ Annals of Applied Probability 21, Nr. 3: 908–950. doi: 10.1214/10-AAP711.
  • Jentzen A, Kloeden PE. 2011. Taylor approximations for stochastic partial differential equations. N/A: Selbstverlag / Eigenverlag. doi: 10.1137/1.9781611972016.
  • Hutzenthaler M, Jentzen A. 2011. ‘Convergence of the stochastic Euler scheme for locally Lipschitz coefficients.’ Foundations of Computational Mathematics 11, Nr. 6: 657–706. doi: 10.1007/s10208-011-9101-9.
  • Cicalese M, Spadaro E.N., Zeppieri C.I. 2011. ‘Asymptotic analysis of a second-order singular perturbation model for phase transitions.’ Calculus of Variations and Partial Differential Equations 41, Nr. 1-2: 127–150. doi: 10.1007/s00526-010-0356-9.
  • Horstmann, Dirk; Stevens, Angela. 2011. ‘Origins of Theoretical Biology.’ European Communications in Mathematical and Theoretical Biology 2011, Nr. 14: 94–103.
  • Stevens, Angela. 2011. „Angewandte Analysis.“ In Facettenreiche Mathematik: Einblicke in die moderne mathematische Forschung für alle, die mehr von Mathematik verstehen wollen, herausgegeben von Wendland, Katrin; Werner, Annette, 327–346. Wiesbaden: Vieweg Verlag. doi: 10.1007/978-3-8348-8173-1_17.
  • Ohlberger M, Smetana K. 2011. ‘A new Hierarchical Model Reduction-Reduced Basis technique for advection-diffusion-reaction problems.’ In Proceedings of the V International Conference on Adaptive Modeling and Simulation (ADMOS 2011) held in Paris, France, 6-8 June 2011, edited by Aubry D. et al., 343–354. Barcelona: CIMNE.
  • Haasdonk B, Ohlberger M. 2011. ‘Efficient reduced models and a posteriori error estimation for parametrized dynamical systems by offline/online decomposition.’ Mathematical and Computer Modelling of Dynamical Systems 17, Nr. 2: 145–161. doi: 10.1080/13873954.2010.514703.
  • Mikula K, Ohlberger M. 2011. ‘Inflow-Implicit/Outflow-Explicit scheme for solving advection equations.’ In Finite Volumes for Complex Applications VI - Problems & Perspectives, edited by Fort J. et al., 683–691. Heidelberg: Springer. doi: 10.1007/978-3-642-20671-9_72.
  • Lehrenfeld Christoph. 2011. ‘Nitsche-XFEM for a Transport Problem in Two- Phase Incompressible Flows.’ In Proc. Appl. Math. Mech., 613–614.: Wiley. doi: 10.1002/pamm.201110296.
  • Haasdonk B, Dihlmann M, Ohlberger M. 2011. ‘A Training Set and Multiple Bases Generation Approach for Parametrized Model Reduction Based on Adaptive Grids in Parameter Space.’ Mathematical and Computer Modelling of Dynamical Systems 2011, Nr. 17 (4): 423–442. doi: 10.1080/13873954.2011.547674.
  • Henning P, Ohlberger M. 2011. ‘A Note on Homogenization of Advection-Diffusion Problems with Large Expected Drift.’ Zeitschrift für Analysis und ihre Anwendungen 2011, Nr. 30(3): 319–339. doi: 10.4171/ZAA/1437.
  • Remmel H, Paech B, Engwer C, Bastian P. 2011. ‘Supporting the Testing of Scientific Frameworks with Software Product Line Engineering: A Proposed Approach.’ In Proceeding of the 4th international workshop on Software engineering for computational science and engineering, 10–18. doi: 10.1145/1985782.1985785.
  • Bastian P, Engwer C, Fahlke J, Ippisch O. 2011. ‘An Unfitted Discontinuous Galerkin Method for Pore-Scale Simulations of Solute Transport.’ Mathematics and Computers in Simulation 81, Nr. 10: 2051–2061. doi: 10.1016/j.matcom.2010.12.024.
  • Lucka F., Pursiainen S., Burger M., Wolters C. 2011. ‘Hierarchical bayesian models for EEG inversion: Depth localization and source separation for focal sources in realistic FE head models.’ Biomedical Engineering / Biomedizinische Technik 56: 1–4. doi: 10.1515/BMT.2011.817.
  • Mallidis C, Wistuba J, Bleisteiner B, Damm OS, Gross P, Wübbeling F, Fallnich C, Burger M, Schlatt S. 2011. ‘In situ visualization of damaged DNA in human sperm by Raman microspectroscopy.’ Human Reproduction 26, Nr. 7: 1641–1649.
  • Burger M, Markowich P, Pietschmann J. 2011. ‘Continuous limit of a crowd motion and herding model: Analysis and numerical simulations.’ Kinetic and Related Methods 4: 1025–1047.
  • Capasso Vincenzo, Engbers Ralf, La Torre Davide. 2011. ‘Population dynamics in a spatial Solow model with a convex-concave production function.’ In Mathematical and Statistical Methods for Actuarial Sciences and Finance, edited by Perna Cira, Sibillo Marilena. Heidelberg: Springer.
  • Heins P. 2011. Sparse Model-Based Reconstruction in Dynamic Positron Emission Tomography.
  • Burger M, Matevosyan N, Wolfram M. 2011. ‘A level set based shape optimization method for an elliptic obstacle problem.’21: 619–649.
  • Wirth B, Bar L, Rumpf M, Sapiro G. 2011. ‘A Continuum Mechanical Approach to Geodesics in Shape Space.’ International Journal of Computer Vision 93, Nr. 3: 293–318. doi: 10.1007/s11263-010-0416-9.
  • Rumpf M, Wirth B. 2011. ‘An elasticity-based covariance analysis of shapes.’ International Journal of Computer Vision 92, Nr. 3: 281–295. doi: 10.1007/s11263-010-0358-2.
  • Rumpf M, Wirth B. 2011. ‘Variational methods in shape analysis.’ In Handbook of Mathematical Methods in Imaging, edited by Scherzer O, 1363–1401. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-0-387-92920-0_31.
  • Wirth B, Warnecke M, Schmenk B, Seide G, Gries T. 2011. ‘Filament breaches during air-gap spinning.’ Chemical Fibers International 61: 38–39.
  • Brancolini A., Solimini S. 2011. ‘On the Hölder regularity of the landscape function.’ Interfaces and Free Boundaries 13, Nr. 2: 191–222. doi: 10.4171/IFB/254.
  • Wirth B, Gerhard J, Marquardt W. 2011. ‘Robust optimisation with normal vectors on critical manifolds of transient stability loss.’ Journal of Nonlinear Science 21: 57–92. doi: 10.1007/s00332-010-9076-8.
  • Wirth B, Gerhard J, Marquardt W. 2011. ‘Stability-preserving optimization in presence of fast disturbances.’ IEEE Transactions on Automatic Control 56, Nr. 11: 2683–2687. doi: 10.1109/TAC.2011.2160029.
  • Herrmann M. 2011. ‘Action minimising fronts in general FPU-type chains.’ Journal of Nonlinear Science 21, Nr. 1: 33–55. doi: 10.1007/s00332-010-9075-9.
  • Budáč O, Herrmann M, Niethammer B, Spielmann A. 2011. ‘On a model for mass aggregation with maximal size.’ Kinetic and Related Models 4, Nr. 2: 427–439. doi: 10.3934/krm.2011.4.427.
  • Dreyer W, Guhlke C, Herrmann M. 2011. ‘Hysteresis and phase transition in many-particle storage systems.’ Continuum Mechanics and Thermodynamics 23, Nr. 3: 211–231. doi: 10.1007/s00161-010-0178-1.
  • Herrmann M, Niethammer B. 2011. ‘Kramers' formula for chemical reactions in the context of Wasserstein gradient flows.’ Communications in Mathematical Sciences 9, Nr. 2: 623–635. doi: 10.4310/CMS.2011.v9.n2.a15.
  • Herrmann M. 2011. ‘Homoclinic standing waves in focusing DNLS equations.’ Discrete and Continuous Dynamical Systems - Series A 31, Nr. 3: 737–752. doi: 10.3934/dcds.2011.31.737.
  • Otto F., Seis C. 2011. ‘Rayleigh-Bénard convection: Improved bounds on the Nusselt number.’ Journal of Mathematical Physics 52, Nr. 8. doi: 10.1063/1.3623417.
  • Seis C. 2011. ‘On the coarsening rates in demixing binary viscous liquids.’ Oberwolfach Reports 8, Nr. 4. doi: 10.4171/OWR/2011/55.
  • Seis, Christian. 2011. Scaling laws in two models for thermodynamically driven fluid flows Dissertationsschrift, Universität Leipzig. Leipzig.
  • Müller J, Brune C, Sawatzky A, Kösters T, Wübbeling F, Schäfers K, Burger M. 2011. ‘Reconstruction of short time PET scans using Bregman iterations.’ Contributed to the IEEE NSS/MIC 2011, Valencia, Spain. doi: 10.1109/NSSMIC.2011.6153884.
  • Lucka Felix, Pursiainen Sampsa, Burger Martin, Wolters Carsten H. 2011. ‘Hierarchical Bayesian Models for EEG Inversion: Depth Localization and Source Separation for Focal Sources in Realistic FE Head Models.’ Contributed to the Annual meeting of the DGBMT, Freiburg.
  • Surulescu C, Surulescu N. 2011. ‘Mathematical modeling with stochastic processes and stochastic differential equations.’ European Communications in Mathematical and Theoretical Biology 14: 106–117.
  • Sawatzky A. 2011. (Nonlocal) Total Variation in Medical Imaging Dissertationsschrift, WWU Münster.
  • Drohmann M, Haasdonk B, Ohlberger M. 2011. ‘Adaptive Reduced Basis Methods for Nonlinear Convection-Diffusion Equations.’ In Finite Volumes for Complex Applications VI - Problems & Perspectives, edited by Fort J. et al., 369–377. Heidelberg: Springer. doi: 10.1007/978-3-642-20671-9_39.
  • Kelkel J, Surulescu C. 2011. ‘On some models for cancer cell migration through tissue.’ Mathematical Biosciences and Engineering 8: 575–589.
  • Brune C, Sawatzky A, Burger M. 2011. ‘Primal and Dual Bregman Methods with Application to Optical Nanoscopy.’ International Journal of Computer Vision 92, Nr. 2: 211–229. doi: 10.1007/s11263-010-0339-5.
  • Benning M, Burger M. 2011. ‘Error estimates for general fidelities.’ El. Trans. Numer. Anal. 38: 44–68.
  • Sanchez V, Wistuba J, Wubbeling F, Burger M, Schlatt S, Mallidis C. 2011. ‘Detection of Sperm DNA damage by Raman microspectroscopy.’ doi: 10.1016/j.fertnstert.2011.07.900.
  • Mallidis C, Wistuba J, Bleisteiner B, Damm OS, Gross P, Wubbeling F, Fallnich C, Burger M, Schlatt S. 2011. ‘In situ visualization of damaged DNA in human sperm by Raman microspectroscopy.’ Human Reproduction 26, Nr. 7: 1641–1649. doi: 10.1093/humrep/der122.
  • Richardson Casey L, Hegemann Jan, Sifakis Eftychios, Hellrung Jeffrey, Teran Joseph M. 2011. ‘An XFEM method for modeling geometrically elaborate crack propagation in brittle materials.’ International Journal for Numerical Methods in Engineering 88: 1042–1065. doi: 10.1002/nme.3211.
  • Brenier Y., Otto F., Seis C.,. 2011. ‘Upper bounds on coarsening rates in demixing binary viscous liquids.’ SIAM Journal on Mathematical Analysis 43, Nr. 1: 134. doi: 10.1137/090775142.

  2010

  • Benning M, Heins P, Burger M. 2010. ‘A solver for dynamic PET reconstructions based on forward-backward- splitting.’ Contributed to the ICNAAM 2010, Crete. doi: 10.1063/1.3498318.
  • Scharf O, Gorlatch S, Blanke F, Hemker C, Westerheide S, Priebs T, Bartenhagen C, Ploss A, Glinka F, Meilaender D. 2010. ‘Scalable distributed simulation of large dense crowds using the Real-Time Framework (RTF).’ Lecture notes in computer science 6271 LNCS, Nr. PART 1: 572–583.
  • Mallidis C, Wistuba J, Bleisteiner B, Gross P, Wubbeling F, Fallnich C, Burger M, Schlatt S. 2010. ‘Confocal Raman microspectroscopy, the future for semen analysis?’ doi: 10.1111/j.1365-2605.2010.01106.x.
  • Weber, Hendrik. 2010. ‘On the short time asymptotic of the stochastic Allen-Cahn equation.’ Annales de l'Institut Henri Poincaré (B) Probabilités et Statistiques 46, Nr. 4: 965–975. doi: 10.1214/09-AIHP333.
  • Weber, Hendrik. 2010. ‘Sharp Interface Limit for Invariant Measures of a Stochastic Allen-Cahn Equation.’ Communications on Pure and Applied Mathematics 63, Nr. 8: 1071–1109. doi: 10.1002/cpa.20323.
  • Jentzen A, Kloeden P. 2010. ‘Taylor expansions of solutions of stochastic partial differential equations with additive noise.’ Annals of Probability 38, Nr. 2: 532–569. doi: 10.1214/09-AOP500.
  • Jentzen A. 2010. ‘Taylor expansions of solutions of stochastic partial differential equations.’ Discrete and Continuous Dynamical Systems - Series B 14, Nr. 2: 515–557. doi: 10.3934/dcdsb.2010.14.515.
  • Dal Maso G, Zeppieri C.I. 2010. ‘Homogenization of fiber reinforced brittle materials: The intermediate case.’ Advances in Calculus of Variations 3, Nr. 4: 345–370. doi: 10.1515/ACV.2010.011.
  • Jentzen A, Kloeden PE. 2010. ‘A unified existence and uniqueness theorem for stochastic evolution equations.’ Bulletin of the Australian Mathematical Society 81, Nr. 1: 33–46. doi: 10.1017/S0004972709000677.
  • Jentzen A, Leber F, Schneisgen D, Berger A, Siegmund S. 2010. ‘An improved maximum allowable transfer interval for $L^p$-stability of networked control systems.’ IEEE Transactions on Automatic Control 55, Nr. 1: 179–184. doi: 10.1109/TAC.2009.2033771.
  • Kang, Kyungkeun; Stevens, Angela; Velázquez, Juan J. L. 2010. ‘Qualitative behavior of a Keller-Segel model with non-diffusive memory.’ Communications in Partial Differential Equations 35, Nr. 2: 245–274. doi: 10.1080/03605300903473400.
  • Wiebel, Alexander; Chan, Raymond; Wolf, Christina; Robitzki, Andrea; Stevens, Angela; Scheuermann, Gerik. 2010. ‘Topological flow structure in a mathematical model for rotation-mediated cell aggregation.’ In Topological Methods in Data Analysis and Visualization - Theory, Algorithms, and Applications, edited by Pascucci, Valerio; Tricoche, Xavier; Hagen, Hans; Tierny, Julien, 193–204. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-642-15014-2_16.
  • Espejo, Elio E.; Stevens, A.; Velázquez, Juan J. L. 2010. ‘A note on nonsimultaneous blow-up for a drift-diffusion model.’ Differential and Integral Equations 23, Nr. 5-6: 451–462. doi: 10.57262/die/1356019306.
  • Mikula K, Ohlberger M. 2010. A New Inflow-Implicit/Outflow-Explicit Finite Volume Method for Solving Variable Velocity Advection Equations , 2010.
  • Ohlberger M, Smetana K. 2010. A new problem adapted hierarchical model reduction technique based on reduced basis methods and dimensional splitting , 2010.
  • Lehrenfeld Christoph. 2010. Hybrid Discontinuous Galerkin Methods for Incompressible Flow Problems.
  • Dedner A, Klöfkorn R, Nolte M, Ohlberger M. 2010. ‘A generic interface for parallel and adaptive scientific computing: Abstraction principles and the DUNE-FEM module.’ Computing 90, Nr. 3-4: 165–196. doi: 10.1007/s00607-010-0110-3.
  • Mikula K, Ohlberger M. 2010. ‘A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach.’ SIAM Journal on Scientific Computing 32, Nr. 3: 1527–1544. doi: 10.1137/09075946X.
  • Henning P, Ohlberger M. 2010. ‘The heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift.’ Networks and Heterogeneous Media 5, Nr. 4: 711–744. doi: 10.3934/nhm.2010.5.711.
  • Benning M, Heins P, Burger M. 2010. ‘A Solver for Dynamic PET Reconstruction based on Forward-Backward Splitting .’ Contributed to the ICNAAM 2010.
  • Benning M., Heins P., Burger M. 2010. ‘A solver for dynamic PET reconstructions based on forward-backward- splitting.’ Contributed to the International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010, Rhodes, grc. doi: 10.1063/1.3498318.
  • Burger M, Carrillo J, Wolfram MT. 2010. ‘A mixed finite element method for nonlinear diffusion equations.’ Kinetic and Related Methods 3: 59–83.
  • Capasso Vincenzo, Engbers Ralf, La Torre Davide. 2010. ‘On a spatial Solow model with technological diffusion and nonconcave production function.’ Nonlinear Analysis: Real World Applications 11, Nr. 5: 3858–3876. doi: 10.1016/j.nonrwa.2010.01.016.
  • Zhang X, Burger M, Bresson X, Osher S. 2010. ‘Bregmanized nonlocal regularization for deconvolution and sparsereconstruction .’ SIAM Journal on Imaging Sciences 3, Nr. 3: 253–276. doi: 10.1137/090746379.
  • Moeller M, Burger M, Dieterich P, Schwab A. 2010. A Framework for Automated Cell Tracking in Phase Contrast Microscopic Videos based on Normal Velocities , 2010.
  • Wolfram M, Burger M, Siwy Z. 2010. ‘Mathematical modeling and simulation of nanopore blocking by precipitation.’ J. Phys.: Cond. Matt. 22: 45401. doi: 10.1088/0953-8984/22/45/454101.
  • Burger M, Nielsen B, Mardal K. 2010. ‘Stability analysis of the inverse transmembrane potential problem in electrocardiography.’ Inverse Problems 26, Nr. 10: 105012. doi: 10.1088/0266-5611/26/10/105012.
  • Burger M, Carrillo J, Wolfram M. 2010. ‘A mixed finite element method for nonlinear diffusion equations.’ Kinetic and Related Methods 3: 59–83.
  • Zhang X, Burger M, Osher S. 2010. ‘A unified primal-dual algorithm framework based on Bregman iteration.’ J Sci Comp 3.
  • Bianchini S., Brancolini A. 2010. ‘Estimates on path functionals over Wasserstein spaces.’ SIAM Journal on Mathematical Analysis 42, Nr. 3: 1179–1217. doi: 10.1137/100782693.
  • Sobey I, Eisenträger A, Wirth B, Czosnyka M. 2010. ‘Multi-fluid poro-elastic modelling of the CSF infusion test.’ In 6th World Congress of Biomechanics (WCB 2010), IFMBE Proceedings, 362–365.
  • Herrmann M, Segatti A. 2010. ‘Infinite harmonic chain with heavy mass.’ Communications on Pure and Applied Analysis 9, Nr. 1: 61–75. doi: 10.3934/cpaa.2010.9.61.
  • Herrmann M, Rademacher JDM. 2010. ‘Riemann solvers and undercompressive shocks of convex FPU chains.’ Nonlinearity 23, Nr. 2: 277–304. doi: 10.1088/0951-7715/23/2/004.
  • Herrmann M. 2010. ‘Unimodal wavetrains and solitons in convex Fermi-Pasta-Ulam chains.’ Proceedings of the Royal Society of Edinburgh: Section A Mathematics 140, Nr. 4: 753–785. doi: 10.1017/S0308210509000146.
  • Herrmann M, Rademacher JDM. 2010. ‘Heteroclinic travelling waves in convex FPU-type chains.’ SIAM Journal on Mathematical Analysis 42, Nr. 4: 1483–1504. doi: 10.1137/080743147.
  • Herrmann M. 2010. ‘Heteroclinic standing waves in defocusing DNLS equations: variational approach via energy minimization.’ Applicable Analysis 89, Nr. 10: 1591–1602. doi: 10.1080/00036811.2010.492504.
  • Sawatzky A, Burger M. 2010. ‘Edge-Preserving Regularization for the Deconvolution of Biological Images in Nanoscopy.’ Contributed to the ICNAAM 2010, Rhodes, Greece. doi: 10.1063/1.3498325.
  • Gigengack F., Ruthotto L., Burger M., Wolters C., Jiang X., Schafers K. 2010. ‘Motion correction of cardiac PET using mass-preserving registration.’ Contributed to the 2010 IEEE Nuclear Science Symposium, Medical Imaging Conference, NSS/MIC 2010 and 17th International Workshop on Room-Temperature Semiconductor X-ray and Gamma-ray Detectors, RTSD 2010, Knoxville, TN, usa. doi: 10.1109/NSSMIC.2010.5874418.
  • Surulescu C. 2010. ‘On a time-dependent fluid-solid coupling in 3D with nonstandard boundary conditions: steps towards modeling blood flow.’ Acta Applicandae Mathematicae 110, Nr. 3: 1087–1104. doi: 10.1007/s10440-009-9495-4.
  • Kelkel J, Surulescu C. 2010. ‘On a stochastic reaction-diffusion system modeling pattern formation on seashells.’ Journal of Mathematical Biology 60, Nr. 6: 765–796. doi: 10.1007/s00285-009-0284-5.
  • Drohmann M, Haasdonk B, Ohlberger M. 2010. Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation , 2010.
  • Maurer H, Semmler W. 2010. ‘An optimal control model of oil discovery and extraction.’ Applied Mathematics and Computation 217, Nr. 3: 1163–1169. doi: 10.1016/j.amc.2010.03.075.
  • Ledzewicz U, Marriott J, Maurer H, Schättler H. 2010. ‘Realizable protocols for optimal administration of drugs in mathematical models for anti-angiogenic treatment.’ Mathematical Medicine and Biology 27, Nr. 2: 157–179. doi: 10.1093/imammb/dqp012.
  • Dawood M, Brune C, Jiang X, Büther F, Burger M, Schober O, Schäfers M, Schäfers K. 2010. ‘A continuity equation based optical flow method for cardiac motion correction in 3D PET data.’ In Medical Imaging and Augmented Reality: 5th International Workshop, MIAR 2010, Beijing, China, September 19-20, 2010, Proceedings (Lecture Notes in ... Vision, Pattern Recognition, and Graphics), edited by Hongen Liao, P.J. Eddie Edwards, Xiaochuan Pan, 88–97. Heidelberg: Springer. doi: 10.1007/978-3-642-15699-1_10.
  • Kelkel J, Surulescu C. 2010. ‘On a stochastic reaction-diffusion system modeling pattern formation on seashells.’ JMB 60: 765–796.
  • Surulescu C. 2010. ‘On a Time-Dependent Fluid-Solid Coupling in 3D with Nonstandard Boundary Conditions. Steps Towards Modeling Blood Flow.’ Acta Applicandae Mathematica 110: 1087–1104.
  • Surulescu C and Surulescu N. 2010. ‘A Nonparametric Approach to Cell Dispersal.’ Int. J. of Biomathematics and Biostatistics 1: 109–128.
  • Benning M. 2010. Improved Dynamic PET via Kinetic Models and Operator Splitting.
  • Burger M, Di Francesco M, Pietschmann J, Schlake B. 2010. ‘Nonlinear cross-diffusion with size exclusion.’ SIAM Journal on Mathematical Analysis 42, Nr. 6: 2842–2871. doi: 10.1137/100783674.

  2009

  • Schellmann M, Gorlatch S, Meiländer D, Kösters T, Schäfers K, Wübbeling F, Burger M. 2009. ‘Parallel medical image reconstruction: From graphics processors to grids.’ Lecture notes in computer science 5698 LNCS: 457–473.
  • Braides A, Zeppieri C.I. 2009. ‘Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy.’ Interfaces and Free Boundaries 11, Nr. 1: 61–108.
  • Cicalese M, DeSimone A, Zeppieri C.I. 2009. ‘Discrete-to-continuum limits for strain-alignment-coupled systems: Magnetostrictive solids, ferroelectric crystals and nematic elastomers.’ Networks and Heterogeneous Media 4, Nr. 4: 667–708. doi: 10.3934/nhm.2009.4.667.
  • Jentzen A, Kloeden PE. 2009. ‘Overcoming the order barrier in the numerical approximation of stochastic partial differential equations with additive space-time noise.’ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 465, Nr. 2102: 649–667. doi: 10.1098/rspa.2008.0325.
  • Jentzen A, Neuenkirch A. 2009. ‘A random Euler scheme for Carathéodory differential equations.’ Journal of Computational and Applied Mathematics 224, Nr. 1: 346–359. doi: 10.1016/j.cam.2008.05.060.
  • Jentzen A, Kloeden PE, Neuenkirch A. 2009. ‘Pathwise approximation of stochastic differential equations on domains: higher order convergence rates without global Lipschitz coefficients.’ Numerische Mathematik 112, Nr. 1: 41–64. doi: 10.1007/s00211-008-0200-8.
  • Jentzen A, Kloeden PE. 2009. ‘Pathwise Taylor schemes for random ordinary differential equations.’ BIT Numerical Mathematics 49, Nr. 1: 113–140. doi: 10.1007/s10543-009-0211-6.
  • Jentzen A. 2009. ‘Pathwise numerical approximation of SPDEs with additive noise under non-global Lipschitz coefficients.’ Potential Analysis 31, Nr. 4: 375–404. doi: 10.1007/s11118-009-9139-3.
  • Jentzen A, Kloeden PE, Neuenkirch A. 2009. ‘Pathwise convergence of numerical schemes for random and stochastic differential equations.’ In Foundations of computational mathematics, Hong Kong 2008, edited by Cucker F, Pinkus A, Todd MJ, 140–161. Cambridge: Cambridge University Press. doi: 10.1017/CBO9781139107068.006.
  • Jentzen A, Kloeden PE. 2009. ‘The numerical approximation of stochastic partial differential equations.’ Milan Journal of Mathematics 77: 205–244. doi: 10.1007/s00032-009-0100-0.
  • Primi, Ivano; Stevens, Angela; Velázquez, Juan J. L. 2009. ‘Mass-selection in alignment models with non-deterministic effects.’ Communications in Partial Differential Equations 34, Nr. 5: 419–456. doi: 10.1080/03605300902797171.
  • Espejo, Elio E.; Stevens, Angela; Velazquez, Juan J. L. 2009. ‘Simultaneous finite time blow-up in a two species model for chemotaxis.’ Analysis 29, Nr. 3: 317–338. doi: 10.1524/anly.2009.1029.
  • Kang, Kyungkeun; Perthame, Benoit; Stevens, Angela; Velázquez, Juan J. L. 2009. ‘An integro-differential equation model for alignment and orientational aggregation.’ Journal of Differential Equations 246, Nr. 4: 1387–1421. doi: 10.1016/j.jde.2008.11.006.
  • Dkhil, Fathi; Stevens, Angela. 2009. ‘Traveling wave speeds in rapidly oscillating media.’ Discrete and Continuous Dynamical Systems - Series A 25, Nr. 1: 89–108. doi: 10.3934/dcds.2009.25.89.
  • ‘Mathematical biology. Abstracts from the workshop held May 3-9, 2009. Organized by Emmanuele DiBenedetto, Benoit Perthame and Angela Stevens’, edited by DiBenedetto, Emmanuele; Perthame, Benoit; Stevens, Angela 2009. Oberwolfach Reports 6. doi: 10.4171/OWR/2009/24.
  • Henning P, Ohlberger M. 2009. ‘The heterogeneous multiscale finite element method for elliptic homogenization problems in perforated domains.’ Numer. Math. 113: 601–629. doi: 10.1007/s00211-009-0244-4.
  • Bastian P, Engwer C. 2009. ‘An unfitted finite element method using discontinuous Galerkin.’ International Journal for Numerical Methods in Engineering 79, Nr. 12: 1557–1576. doi: 10.1002/nme.2631.
  • Ohlberger M. 2009. ‘A review of a posteriori error control and adaptivity for approximations of nonlinear conservation laws.’ International Journal for Numerical Methods in Fluids 59, Nr. International Journal for Numerical Methods in Fluids: 333–354. doi: 10.1002/fld.1686.
  • Henning P, Ohlberger M. 2009. A-posteriori error estimate for a heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. , 2009.
  • Haasdonk B, Ohlberger M. 2009. ‘Efficient reduced models for parametrized dynamical systems by offline/online decomposition.’
  • Albrecht F. 2009. Local Discontinuous Galerkin Verfahren für die Stokes Gleichungen und Homogenisierung in porösen Medien (Diplomarbeit).
  • Haasdonk B, Ohlberger M. 2009. ‘Space-adaptive reduced basis simulation for time-dependent problems.’
  • Haasdonk B, Ohlberger M. 2009. ‘Reduced Basis Method for Explicit Finite Volume Approximations of Nonlinear Conservation Laws.’ In Hyperbolic problems: theory, numerics and applications. Providence, RI: American Mathematical Society.
  • Engwer C. 2009. An Unfitted Discontinuous Galerkin Scheme for Micro-scale Simulations and Numerical Upscaling Dissertationsschrift, Universität Heidelberg.
  • Bachmayr M, Burger M. 2009. ‘Iterative total variation schemes for nonlinear inverse problems.’ Inverse Problems 25.
  • Burger M, He L, Schönlieb C. 2009. ‘Cahn-Hilliard inpainting and a generalization for grayvalue image.’ SIAM J. Imag. Sci. 3: 3.
  • Burger M, Kaltenbacher B, Neubauer A. 2009. ‘Iterative solution methods.’ In Handbook of Mathematical Methods in Imaging, edited by Scherzer O, .. Düsseldorf: Springer VDI Verlag.
  • Steinstraeter O, Sillekens S, Junghoefer M, Burger M, Wolters C. 2009. ‘Sensitivity of beamformer source analysis to deficiencies in forward modeling.’ Human Brain Mapping 31: 1907–1927.
  • Wirth B, Bar L, Rumpf M, Sapiro G. 2009. ‘Geodesics in Shape Space via Variational Time Discretization.’ In 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, 288–302. doi: 10.1007/978-3-642-03641-5_22.
  • Rumpf M, Wirth B. 2009. ‘An Elasticity Approach to Principal Modes of Shape Variation.’ In Second International Conference on Scale Space Methods and Variational Methods in Computer Vision, 709–720.
  • Rumpf M, Wirth B. 2009. ‘A nonlinear elastic shape averaging approach.’ SIAM Journal on Imaging Sciences 2, Nr. 3: 800–833. doi: 10.1137/080738337.
  • Brancolini A., Buttazzo G., Santambrogio F., Stepanov E. 2009. ‘Long-term planning versus short-term planning in the asymptotical location problem.’ ESAIM: Control, Optimisation and Calculus of Variations 15, Nr. 3: 509–524. doi: 10.1051/cocv:2008034.
  • Wirth B, Sobey I. 2009. ‘Analytic solution of the linear unsteady poroelastic equations in a spherically symmetric brain during an infusion test.’ Mathematical Medicine and Biology 26: 25–61.
  • Herrmann M, Laurençot P, Niethammer B. 2009. ‘Self-similar solutions for fat tails for a coagulation equation with nonlocal drift.’ Comptes Rendus Mathématique 347, Nr. 15-16: 909–914. doi: 10.1016/j.crma.2009.05.006.
  • Herrmann M. 2009. ‘Periodic travelling waves in convex Klein-Gordon chains.’ Nonlinear Analysis: Theory, Methods and Applications 71, Nr. 11: 5501–5508. doi: 10.1016/j.na.2009.04.039.
  • Herrmann M, Niethammer B, Velázquez JJL. 2009. ‘Self-similar solutions for the LSW model with encounters.’ Journal of Differential Equations 247, Nr. 8: 2282–2309. doi: 10.1016/j.jde.2009.07.021.
  • Brune C, Maurer H, Wagner M. 2009. ‘Detection of intensity and motion edges within optical flow via multidimensional control.’ SIAM Journal on Imaging Sciences 2, Nr. 4: 1190–1210. doi: 10.1137/080725064.
  • Kelkel J, Surulescu C. 2009. ‘A weak solution approach to a reaction-diffusion system modeling pattern formation on seashells.’ Mathematical Methods in the Applied Sciences 32, Nr. 17: 2267–2286. doi: 10.1002/mma.1133.
  • Osmolovskii NP, Maurer H. 2009. ‘Second order sufficient optimality conditions for a control problem with continuous and bang-bang control components: Riccati approach.’ In System modeling and optimization, 411–429. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-642-04802-9_24.
  • Maurer H, Vossen G. 2009. ‘Sufficient conditions and sensitivity analysis for optimal bang-bang control problems with state constraints.’ In System modeling and optimization, 82–99. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-642-04802-9_4.
  • d'Onofrio A, Ledzewicz U, Maurer H, Schättler H. 2009. ‘On optimal delivery of combination therapy for tumors.’ Mathematical Biosciences 222, Nr. 1: 13–26. doi: 10.1016/j.mbs.2009.08.004.
  • Göllmann L, Kern D, Maurer H. 2009. ‘Optimal control problems with delays in state and control variables subject to mixed control-state constraints.’ Optimal Control Applications and Methods 30, Nr. 4: 341–365. doi: 10.1002/oca.843.
  • Büther F, Dawood M, Stegger L, Wübbeling F, Schäfers M, Schober O, Schäfers KP. 2009. ‘List mode-driven cardiac and respiratory gating in PET.’ Journal of Nuclear Medicine 50, Nr. 5: 674–681. doi: 10.2967/jnumed.108.059204.
  • Buther F, Dawood M, Stegger L, Wübbeling F, Schäfers M, Schober O, Schafers KP. 2009. ‘List mode-driven cardiac and respiratory gating.’ PET. J. Nucl. Med. 50: 674–681.
  • Kelkel J, Surulescu C. 2009. ‘A weak solution approach to a reaction-diffusion system modeling pattern formation on seashells.’ MMAS 32: 2267–2286.
  • Brune C, Sawatzky A, Burger M. 2009. ‘Bregman-EM-TV Methods with Application to Optical Nanoscopy.’ Contributed to the SSVM 2009, Voss, Norway. doi: 10.1007/978-3-642-02256-2_20.
  • Brune C, Maurer H, Wagner M. 2009. ‘Detection of Intensity and Motion Edges within Optical Flow via Multidimensional Control.’ SIAM J. Imag. Sci. 2, Nr. 4: 1190–1210. doi: 10.1137/080725064.
  • Schellmann M, Gorlatch S, Meiländer D, Kösters T, Wübbeling F, Burger M. 2009. ‘Parallel medical image reconstruction: From graphics processors to grids.’ Contributed to the 10th International Conference PaCT, Novosibirsk, Russia.
  • Drohmann M, Haasdonk B, Ohlberger M. 2009. ‘Reduced Basis Method for Finite Volume Approximation of Evolution Equations on Parametrized Geometries.’ Contributed to the Proceedings of ALGORITMY 2009.
  • Drohmann M. 2009. Reduzierte Basis Methoden für ungesättigte Grundwasserströmungen.
  • Sawatzky A, Brune C, Müller J, Burger M. 2009. ‘Total Variation Processing of Images with Poisson Statistics.’ Contributed to the CAIP 2009, Münster, Deutschland. doi: 10.1007/978-3-642-03767-2_65.

  2008

  • Stevens, Angela; Velázquez, Juan J. L. 2008. ‘Partial differential equations and non-diffusive structures.’ Nonlinearity 21, Nr. 12: T283–T289. doi: 10.1088/0951-7715/21/12/T04.
  • Haasdonk B, Ohlberger M, Rozza G. 2008. ‘A reduced basis method for evolution schemes with parameter-dependent explicit operators.’ Electronic transactions on numerical analysis 32: 145–161.
  • Dedner A, Ohlberger M. 2008. ‘A new $hp$-adaptive DG scheme for conservation laws based on error control .’ In Hyperbolic Problems: Theory, Numerics, Applications, edited by Benzoni-Gavage, Serre, 187–198. Berlin. doi: 10.1007/978-3-540-75712-2_15.
  • Haasdonk B, Ohlberger M, Rozza G. 2008. ‘A reduced basis method for evolution schemes with parameter-dependent explicit operators .’ Electronic transactions on numerical analysis 32: 145–161.
  • Klöfkorn R, Kröner D, Ohlberger M. 2008. ‘Parallel and adaptive simulation of fuel cells in 3d.’ In Computational science and high performance computing III, 69–81. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-540-69010-8_7.
  • Goldsmith F, Ohlberger M, Schumacher J, Steinkamp K, Ziegler C. 2008. ‘A non-isothermal PEM fuel cell model including two water transport mechanisms in the membrane.’ Journal of Fuel Cell Science and Technology 5, Nr. Journal of Fuel Cell Science and Technology: 5. doi: 10.1115/1.2822884.
  • Haasdonk B, Ohlberger M. 2008. ‘Adaptive Basis Enrichment for the Reduced Basis Method Applied to Finite Volume Schemes.’ Contributed to the Finite Volumes for Complex Applications VI Problems & Perspectives: FVCA 6, Prague.
  • Klöfkorn R, Kröner D, Ohlberger M. 2008. ‘Parallel adaptive simulation of PEM fuel cells.’ In Mathematics – Key Technology for the Future, edited by Krebs, Jäger, 235–249.
  • Haasdonk B, Ohlberger M. 2008. ‘Reduced Basis Method for Finite Volume Approximations of Parametrized Linear Evolution Equations.’ M2AN Math. Model. Numer. Anal. 42, Nr. 2: 277–302. doi: 10.1051/m2an:2008001.
  • Bastian P, Blatt M, Dedner A, Engwer C, Rober Klöfkorn, Kornhuber R, Ohlberger M, Sander O. 2008. ‘A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part {II}: Implementation and Tests in {DUNE}.’ Computing 82, Nr. 2--3: 121–138. doi: 10.1007/s00607-008-0004-9.
  • Bastian P, Blatt M, Dedner A, Engwer C, Klöfkorn R, Ohlberger M, Sander O. 2008. ‘A Generic Grid Interface for Parallel and Adaptive Scientific Computing. Part I: Abstract framework.’ Computing 82, Nr. 2--3: 103–119. doi: 10.1007/s00607-008-0003-x.
  • Bastian P, Chavarria-Krauser A, Engwer C, Jäger W, Marnach S, Ptashnyk M. 2008. ‘Modelling in vitro growth of dense root networks.’ Journal of Theoretical Biology 254, Nr. 1: 99–109. doi: 10.1016/j.jtbi.2008.04.014.
  • Bastian P, Bauer J, Chavarria-Krauser A, Engwer C, Jager W, Marnach S, Ptashnyk M, Wetterauer B. 2008. ‘Modeling and Simulation of Hairy Root Growth.’ In Mathematics-Key Technology for the Future: Joint Projects Between Universities and Industry 2004-2007, edited by Krebs H, Jäger W, 101–115. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-540-77203-3_8.
  • Benning M, Kösters T, Wübbeling F, Schäfers K, Burger M. 2008. ‘A Nonlinear Variational Method for Improved Quantification of Myocardial Blood Flow Using Dynamic H215O PET .’ Contributed to the IEEE NSS/MIC 2008, Dresden.
  • Burger M, He L, Markowich P, Schönlieb C. 2008. ‘A generalization of Cahn-Hilliard inpainting for gray-value images.’ In PAMM Special Issue: ICIAM 07, 1041905–1041906.
  • Burger M, Chu S, Markowich P, Schönlieb C. 2008. ‘Cahn-Hilliard inpainting and the Willmore functional.’ In PAMM Special Issue: ICIAM 07, 1011209–1011210.
  • Arning K, Burger M, Eisenberg B, Engl H, He L. 2008. ‘Inverse problems related to ion channels.’ In PAMM Special Issue: ICIAM 07, 1120801–1120802.
  • Burger M, Pinnau R. 2008. ‘A Globally Covergent Gummel Map for Optimal Dopant Profiling.’ Math. Models Meth. Appl. Sci. 19.
  • Burger M. 2008. ‘A note on sparse reconstruction methods.’ In J Phys Conference Series, edited by Uhlmann G, 012002.
  • Burger M, Dolak-Struss Y, Schmeiser C. 2008. ‘Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions.’ Commun. Math. Sci. 6: 1–28.
  • Burger M, Landa Y, Tanushev N, Tsai R. 2008. ‘Discovering point sources in unknown environments.’ Contributed to the WAFR 2008.
  • Burger M. 2008. ‘Finite element approximation of elliptic partial differential equations on implicit surfaces.’ Comp. Vis. Sci. .
  • Burger M, Stöcker C, Voigt A. 2008. ‘Finite element based level set methods for higher order flows.’ J. Sci. Comp. 35: 77–98.
  • Burger M, Di Francesco M. 2008. ‘Large time behavior of nonlocal aggregation models with nonlinear diffusion.’ Networks and Heterogeneous Media 3: 749–785.
  • Burger M, Pinnau R, Wolfram M. 2008. ‘On-/Off-State design of semiconductor doping profiles.’ Commun. Math. Sci. 6: 1021–1041.
  • Favaro P, Soatto S, Burger M, Osher S. 2008. ‘Shape from Defocus via Diffusion.’ IEEE Transactions PAMI 30: 518–531.
  • Burger M, Chu S, Markowich P, Schönlieb C. 2008. ‘The Willmore functional and instabilities in the Cahn-Hilliard equation.’ Commun. Math. Sci. 6: 309–329.
  • Wirth B, Sobey I. 2008. ‘A model for an inverse power constitutive law for cerebral compliance.’ Mathematical Medicine and Biology 25: 113–131. doi: 10.1093/imammb/dqn006.
  • Dreyer W, Herrmann M. 2008. ‘Numerical experiments on the modulation theory for the nonlinear atomic chain.’ Physica D: Nonlinear Phenomena 237, Nr. 2: 255–282. doi: 10.1016/j.physd.2007.09.003.
  • Henseler R, Herrmann M, Niethammer B, Velázquez JJL. 2008. ‘A kinetic model for grain growth.’ Kinetic and Related Models 1, Nr. 4: 591–617. doi: 10.3934/krm.2008.1.591.
  • Giannoulis J, Herrmann M, Mielke A. 2008. ‘Lagrangian and Hamiltonian two-scale reduction.’ Journal of Mathematical Physics 49, Nr. 10: 103505, 42. doi: 10.1063/1.2956487.
  • Sawatzky A, Brune C, Wübbeling F, Kösters T, Schäfers K, Burger M. 2008. ‘Accurate EM-TV algorithm in PET with low SNR.’ Contributed to the IEEE NSS/MIC 2008, Dresden, Deutschland. doi: 10.1109/NSSMIC.2008.4774392.
  • Maurer H, Pesch HJ. 2008. ‘Direct optimization methods for solving a complex state-constrained optimal control problem in microeconomics.’ Applied Mathematics and Computation 204, Nr. 2: 568–579. doi: 10.1016/j.amc.2008.05.035.
  • Brune C, Maurer H, Wagner M. 2008. „aaa Kantenerkennung im optischen Fluss als mehrdimensionales Steuerungsproblem.“. BTU Cottbus.
  • Schlake B. 2008. Mathematical Models for Pedestrian Motion.
  • Dawood M, Kösters T, Fieseler M, Büther F, Jiang X, Wübbeling F, Schäfers KP. 2008. ‘Motion correction in respiratory gated cardiac PET/CT using multi-scale optical flow.’ doi: 10.1007/978-3-540-85990-1_19.
  • Dawood M, Kösters T, Fieseler M, Büther F, Jiang X, Wübbeling F, Schäfers K. 2008. ‘Multi-scale optical flow for respiratory motion correction in cardiac PET/CT.’ Contributed to the MICCAI, New York.
  • Surulescu C. 2008. ‘On the Time-Dependent Motion of a Viscous Incompressible Fluid Through a Tube with Compliant Walls.’ Studia UBB Mathem LIII: 77–95.
  • Busby M, Blum C, Tibben M, Fibikar S, Calzaferri G, Subramaniam V, De Cola L. 2008. ‘Time, space, and spectrally resolved studies on J-aggregate interactions in zeolite L nanochannels.’ Journal of the American Chemical Society 130, Nr. 33: 10970–10976. doi: 10.1021/ja801178p.

  2007

  • Fuhrmann, Jan; Käs, Josef; Stevens, Angela. 2007. ‘Initiation of cytoskeletal asymmetry for cell polarization and movement.’ Journal of Theoretical Biology 249, Nr. 2: 278–288. doi: 10.1016/j.jtbi.2007.08.013.
  • Ansini N, Babadjian J.F., Zeppieri C.I. 2007. ‘The Neumann sieve problem and dimensional reduction: A multiscale approach.’ Mathematical Models and Methods in Applied Sciences 17, Nr. 5: 681–735. doi: 10.1142/S0218202507002078.
  • Braides A, Zeppieri C.I. 2007. ‘A note on equi-integrability in dimension reduction problems.’ Calculus of Variations and Partial Differential Equations 29, Nr. 2: 231–238. doi: 10.1007/s00526-006-0065-6.
  • Kloeden PE, Jentzen A. 2007. ‘Pathwise convergent higher order numerical schemes for random ordinary differential equations.’ Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 463, Nr. 2087: 2929–2944. doi: 10.1098/rspa.2007.0055.
  • Rave S. 2007. Über die Entscheidbarkeit gewisser Prädikate in der Theorie der C*-Algebren. Münster.
  • Dedner A, Makridakis C, Ohlberger M. 2007. ‘Error control for a class of Runge-Kutta discontinuous Galerkin methods for nonlinear conservation laws.’ SIAM J. Numer. Anal. 45: 514–538.
  • Ohlberger M, Schweizer B. 2007. ‘Modelling of interfaces in unsaturated porous media.’ Discrete Contin. Dyn. Syst. , Nr. Dynamical Systems and Differential Equations. Proceedings of the 6th AIMSInternational Conference, suppl.: 794–803.
  • Haasdonk B, Ohlberger M. 2007. ‘Basis Construction for Reduced Basis Methods by Adaptive Parameter Grids.’
  • Henning P. 2007. Die Heterogene Mehrskalenmethode f\�r elliptische Differentialgleichungen in perforierten Gebieten.
  • Fuhrmann J, Haasdonk B, Holzbecher E, Ohlberger M. 2007. ‘Guest Editorial for Special Issue on Modelling and Simulation of PEM-FC.’ Journal of Fuel Cell Science and Technology 2007, Nr. Journal of Fuel Cell Science and Technology.
  • Klöfkorn R, Kröner D, Ohlberger M. 2007. ‘Parallel and adaptive simulaiton of fuel cells in 3D.’
  • Burger M, Eisenberg B, Engl H. 2007. ‘Inverse problems related to ion channel selectivity.’ SIAM J. Appl. Math. 67: 960–989.
  • Su B, Burger M. 2007. ‘Global weak solutions of non-isothermal front propagation problem.’ Electronic Research Announcements of the American Mathematical Society 13: 46–52. doi: 10.1090/S1079-6762-07-00173-4.
  • Burger M, Capasso V, Micheletti A. 2007. ‘An extension of the Kolmogorov-Avrami formula to inhomogeneous birth-and-growth processes .’, edited by Aletti G, Burger M, Micheletti A, Morale D, 63–76. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-540-44446-6_6.
  • Burger M, Hausser F, Stöcker C, Voigt A. 2007. ‘A level set approach to anisotropic flows with curvature regularization.’ J. Comp. Phys. 225: 183–205.
  • Burger M, Resmerita E, He L. 2007. ‘Error estimation for Bregman iterations and inverse scale space methods.’ Computing 81: 109–135.
  • Burger M, Frick K, Osher S, Scherzer O. 2007. ‘Inverse total variation flow.’ SIAM Multiscale Mod. Simul. 6: 366–395.
  • Ben Ameur H, Burger M, Hackl B. 2007. ‘On some geometric inverse problems in linear elasticity.’ Math. Meth. Appl. Sci. 30: 625–647.
  • Surulescu C. 2007. ‘On the stationary interaction of a Navier-Stokes fluid with an elastic tube wall.’ Applicable Analysis 86, Nr. 2: 149–165. doi: 10.1080/00036810601108756.
  • Schweizer B, Bodea S, Surulescu C, Surovtsova I. 2007. ‘Fluid flows and free boundaries.’ In Reactive flows, diffusion and transport, 5–24. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-540-28396-6_1.
  • Osmolovskii NP, Maurer H. 2007. ‘Equivalence of second order optimality conditions for bang-bang control problems. {II}. Proofs, variational derivatives and representations.’ Control and Cybernetics 36, Nr. 1: 5–45.
  • Brune C. 2007. Berechnung des optischen Flusses und Kantenerkennung mit Optimierungsmethoden.
  • Sawatzky A. 2007. Reflektoren in der Ultraschall-Tomographie.
  • Benning M, Lee E, Pao H, Yacoubou-Djima K. 2007. Statistical Filtering of Global Illumination for Computer Graphics , 2007.
  • Surulescu C. 2007. ‘On the Stationary Interaction of a Navier-Stokes Fluid With an Elastic Tube Wall.’ Applicable Analyis 86: 149–165.
  • Schweizer B, Surovtsova I, Surulescu C. 2007. ‘Fluid Flows and Free Boundaries.’ In Reactive Flows, Diffusion and Transport, edited by Jäger W, Rannacher R and Warnatz J.. Düsseldorf: Springer VDI Verlag.

  2006

  • ‘Mathematical biology. Abstracts from the workshop held May 14-20, 2006. Organized by Emmanuele DiBenedetto, Benoit Perthame and Angela Stevens’, edited by DiBenedetto, Emmanuele; Perthame, Benoit; Stevens, Angela 2006. Oberwolfach Reports 3. doi: 10.4171/OWR/2006/24.
  • Dkhil, Fathi; Stevens, Angela. 2006. ‘Traveling wave speeds of nonlocally perturbed reaction diffusion equations.’ Asymptotic Analysis 46, Nr. 1: 81–91.
  • Hwang, Hyung Ju; Kang, Kyungkeun; Stevens, Angela. 2006. ‘Global existence of classical solutions for a hyperbolic chemotaxis model and its parabolic limit.’ Indiana University Mathematics Journal 55, Nr. 1: 289–316. doi: 10.1512/iumj.2006.55.2677.
  • Ohlberger M, Vovelle J. 2006. ‘Error estimate for the approximation of nonlinear conservation laws on bounded domains by the finite volume method.’ Math. Comp. 75: 113–150.
  • Burri A, Dedner A, Diehl D, Klöfkorn R, Ohlberger M. 2006. ‘A general object oriented framework for discretizing nonlinear evolution equations.’, 93.
  • Burri A, Dedner A, Klöfkorn R, Ohlberger M. 2006. ‘An efficient implementation of an adaptive and parallel grid in DUNE.’, 91.
  • Haasdonk B, Ohlberger M. 2006. Reduced Basis Method for Finite Volume Approximations of Parametrized Evolution Equations , 2006.
  • Bastian P, Blatt M, Engwer C, Dedner A, Klöfkorn R, Kuttanikkad SP, Ohlberger M, Sander O. 2006. ‘The Distributed and Unified Numerics Environment (DUNE).’ In Proc. of the 19th Symposium on Simulation Technique in Hannover, September 12 - 14.
  • Burger M. 2006. ‘Surface diffusion including adatoms.’ Comm. Math. Sci. 4: 1–51.
  • Burger M, DiFrancesco M, Dolak-Struss Y. 2006. ‘The Keller-Segel model for chemotaxis: linear vs. nonlinear diffusion.’ SIAM J. Math. Anal. 38: 1288–1315.
  • Burger M, Kaltenbacher B. 2006. ‘Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems.’ SIAM Journal on Numerical Analysis 44, Nr. 1: 153–182. doi: 10.1137/040613779.
  • Su B, Burger M. 2006. Weak solutions of a polymer crystal growth model , 2006.
  • Stainko R, Burger M. 2006. ‘A one-shot approach to topology optimization with stress constraints.’ Contributed to the IUTAM Symposium on Topological Design Optimization of Structures, Machines, and Materials.
  • Burger M, Capasso V, Micheletti A. 2006. ‘An extension of the Avrami-Kolmogorov formula to inhomogeneous birth-and-growth processes.’ Contributed to the Math Everywhere, Milano.
  • Berkels B, Burger M, Droske M, Nemitz O, Rumpf M. 2006. ‘Cartoon extraction based on anisotropic image classification.’ Contributed to the Vision, Modeling, and Visualization Proceedings.
  • 2006. Deterministic and Stochastic Modelling in Biomedicine, Economics, and Industry.
  • He L, Burger M, Osher S. 2006. ‘Iterative total variation regularization with non-quadratic fidelity.’ J. Math. Imaging Vision 26: 167–184.
  • Burger M, Capasso V, Pizzocchero L. 2006. ‘Mesoscale averaging of nucleation and growth processes.’ SIAM Multiscale Mod. Simul. 5: 564–592.
  • Burger M, Gilboa G, Osher S, Xu J. 2006. ‘Nonlinear inverse scale space methods.’ Commun. Math. Sci. 4: 179–212.
  • Burger M, Capasso V, Morale D. 2006. ‘On an aggregation model with long and short range interactions.’ Nonlinear Analysis: Real World Applications 8: 939–958.
  • Burger M, Hinze M, Pinnau R. 2006. ‘Optimization models for semiconductor dopant profiling.’ In Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems, edited by Cercignani C, Gabetta E, 91–116. Basel: Birkhäuser Verlag.
  • Burger M, Stainko R. 2006. ‘Phase-field relaxation of topology optimization with local stress constraints,.’ SIAM J. Control. Optim. 45: 1447–1466.
  • Brancolini A., Buttazzo G., Santambrogio F. 2006. ‘Path functionals over Wasserstein spaces.’ Journal of the European Mathematical Society 8, Nr. 3: 415–434.
  • Sobey I, Wirth B. 2006. ‘Effect of nonlinear permeability in a spherical model of hydrocephalus.’ Mathematical Medicine and Biology 23: 339–361. doi: 10.1093/imammb/dql015.
  • Wirth B, Sobey I. 2006. ‘An axisymmetric and fully 3D poroelastic model for the onset and treatment of hydrocephalus.’ Mathematical Medicine and Biology 23: 363–388. doi: 10.1093/imammb/dql014.
  • Dreyer W, Herrmann M, Mielke A. 2006. ‘Micro-macro transition in the atomic chain via Whitham's modulation equation.’ Nonlinearity 19, Nr. 2: 471–500. doi: 10.1088/0951-7715/19/2/013.
  • Herrmann M, Naldzhieva M, Niethammer B. 2006. ‘On a thermodynamically consistent modification of the Becker-Döring equations.’ Physica D: Nonlinear Phenomena 222, Nr. 1-2: 116–130. doi: 10.1016/j.physd.2006.08.004.
  • Giannoulis J, Herrmann M, Mielke A. 2006. ‘Continuum descriptions for the dynamics in discrete lattices: derivation and justification.’ In Analysis, modeling and simulation of multiscale problems, edited by Mielke A, 435–466. Düsseldorf: Springer VDI Verlag. doi: 10.1007/3-540-35657-6_16.
  • Dreyer W, Herrmann M, Rademacher JDM. 2006. ‘Wave trains, solitons and modulation theory in FPU chains.’ In Analysis, modeling and simulation of multiscale problems, edited by Mielke A, 467–500. Düsseldorf: Springer VDI Verlag. doi: 10.1007/3-540-35657-6_17.
  • Surulescu C, Surulescu N. 2006. ‘A note on an individual bioequivalence setting.’ Journal of inequalities in pure and applied mathematics 7, Nr. 3: Article 100, 8 pp. (electronic).
  • Surulescu C. 2006. ‘On the stationary motion of a Stokes fluid in a thick elastic tube: a 3D/3D interaction problem.’ Acta Mathematica Universitatis Comenianae 75, Nr. 1: 95–106.
  • Vossen G, Maurer H. 2006. ‘On {$L^1$}-minimization in optimal control and applications to robotics.’ Optimal Control Applications and Methods 27, Nr. 6: 301–321. doi: 10.1002/oca.781.
  • Osmolovskii NP, Maurer H. 2006. ‘Second order optimality conditions for controls with continuous and bang-bang components.’ In Systems, control, modeling and optimization, 297–307. Düsseldorf: Springer VDI Verlag. doi: 10.1007/0-387-33882-9_28.
  • Lunkenheimer, P P, Redmann K, Kling N, Rothaus K, Jiang X, Cryer C, Wübbeling F, Niederer P, Heitz, U Ph, Ho, Y S, , H R, erson,. 2006. ‘The three-dimensional architecture of the left ventricular myocardium.’ The anatomical Record: Advances in Integrative Anatomy and Evolutionary Biology 288A, Nr. 6: 565–578.
  • Surulescu, C. 2006. ‘On the Stationary Motion of a Stokes Fluid in a Thick Elastic Tube: A 3D/3D Interaction Problem.’ AMUC 75: 95–106.
  • Surulescu C, Surulescu N. 2006. ‘A Note on an Individual Bioequivalence Setting.’ J. Inequal. Pure Appl. Math. 7: 8.
  • Lunkenheimer PP, Redmann K, Kling N, Jiang XJ, Rothaus K, Cryer CW, Wubbeling F, Niederer P, Heitz PU, Ho SY, Anderson RH. 2006. ‘Three-dimensional architecture of the left ventricular myocardium.’ Anatomical Record Part A: Discoveries in Molecular Cellular and Evolutionary Biology 288A, Nr. 6: 565–578. doi: 10.1002/ar.a.20326.

  2005

  • Hwang, Hyung Ju; Kang, Kyungkeun; Stevens, Angela. 2005. ‘Drift-diffusion limits of kinetic models for chemotaxis: A generalization.’ Discrete and Continuous Dynamical Systems - Series B 5, Nr. 2: 319–334. doi: 10.3934/dcdsb.2005.5.319.
  • Stevens, Angela; Søgaard-Andersen, Lotte. 2005. ‘Making waves: Pattern formation by a cell-surface-associated signal.’ Trends in Microbiology 13, Nr. 6: 249–252. doi: 10.1016/j.tim.2005.04.002.
  • Hwang, Hyung Ju; Kang, Kyungkeun; Stevens, Angela. 2005. ‘Global solutions of nonlinear transport equations for chemosensitive movement.’ SIAM Journal on Mathematical Analysis 36, Nr. 4: 1177–1199. doi: 10.1137/S0036141003431888.
  • Ohlberger M. 2005. ‘A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems.’ Multiscale Model. Simul. 4: 88–114.
  • Dedner A, Makridakis C, Ohlberger M. 2005. ‘A new stable discontinuous Galerkin approximation for non-linear conservation laws on adaptively refined grids.’, 1095–1099.
  • Ohlberger M. 2005. ‘A posterior error estimates for the heterogenoeous mulitscale finite element method for elliptic homogenization problems.’ SIAM Multiscale Mod. Simul. 4, Nr. 1: 88–114.
  • Ohlberger M. 2005. ‘Error control for approximations of non-linear conservation laws.’, 85–100.
  • Bastian P, Droske M, Engwer C, Klöfkorn R, Neubauer T, Ohlberger M, Rumpf M. 2005. ‘Towards a unified framework for scientific computing.’, 167–174.
  • Engwer C, Bastian P. 2005. A Discontinuous Galerkin Method for Simulations in Complex Domains , 2005.
  • Bastian P, Engwer C. 2005. ‘Solving partial differential equations in complicated domains.’ Oberwolfach Reports 4.
  • Osher S, Burger M, Goldfarb D, Xu J, Yin W. 2005. ‘An iterative regularization method for total variation based image restoration.’ SIAM Multiscale Modelling and Simulation 4: 460–489.
  • Burger M. 2005. ‘A model hierarchy for surface diffusion: the small slope case.’ Contributed to the 5th MATHMOD, Vienna.
  • Burger M, Osher S. 2005. ‘A survey on level set methods for inverse problems and optimal design.’ European J. Appl. Math. 16: 263–301.
  • Burger M, Hofinger A. 2005. ‘Greedy algorithms for neural network training with data noise.’ Computing 74: 1–22.
  • Wolfram M, Burger M. 2005. ‘Inverse dopant profiling for highly doped semiconductor devices.’ Contributed to the 5th MATHMOD, Vienna.
  • Burger M, Gilboa G, Osher S, Xu J. 2005. ‘Nonlinear inverse scale space methods for image restoration.’ Contributed to the Variational and Level Set Methods 2005.
  • Burger M. 2005. ‘Numerical simulation of anisotropic surface diffusion with curvature-dependent energy.’ J. Comp. Phys. 203: 602–625.
  • Burger M, Hintermueller M. 2005. ‘Projected gradient flows for BV / level set relaxation.’ PAMM 5, Nr. PAMM: 11–14.
  • Burger M, Gu H. 2005. ‘Symbolic preprocessing of finite element methods for parameter-dependent geometric differential equations.’ Contributed to the Workshop on Symbolic-Numerical Computation 2005.
  • Brancolini A., Buttazzo G. 2005. ‘Optimal networks for mass transportation problems.’ ESAIM: Control, Optimisation and Calculus of Variations null, Nr. 11: 88–101. doi: 10.1051/cocv:2004032.
  • Dreyer W, Herrmann M, Kunik M, Qamar S. 2005. ‘Kinetic schemes for selected initial and boundary value problems.’ In Analysis and numerics for conservation laws, edited by Warnecke G, 203–232. Düsseldorf: Springer VDI Verlag. doi: 10.1007/3-540-27907-5_9.
  • Osmolovskii NP, Maurer H. 2005. ‘Equivalence of second order optimality conditions for bang-bang control problems. I. Main results.’ Control and Cybernetics 34, Nr. 3: 927–950.
  • Maurer H, Büskens C, Kim JR, Kaya CY. 2005. ‘Optimization methods for the verification of second order sufficient conditions for bang-bang controls.’ Optimal Control Applications and Methods 26, Nr. 3: 129–156. doi: 10.1002/oca.756.
  • Malanowski K, Maurer H, Pickenhain S. 2005. ‘Second order sufficient conditions for optimal control subject to first order state constraints.’ In Control and boundary analysis, 293–304. London: Chapman & Hall.
  • Natterer F, Wubbeling F. 2005. ‘Marching schemes for inverse acoustic scattering problems.’ Numerische Mathematik 100, Nr. 4: 697–710. doi: 10.1007/s00211-004-0580-3.

  2004

  • Horstmann, Dirk; Stevens, Angela. 2004. ‘A constructive approach to traveling waves in chemotaxis.’ Journal of Nonlinear Science 14, Nr. 1: 1–25. doi: 10.1007/s00332-003-0548-y.
  • Barth T, Ohlberger M. 2004. ‘Finite volume methods: foundation and analysis.’, 439–474.
  • Ohlberger M. 2004. ‘Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media.’ Comp. Vis. Sci. 7, Nr. 1: 41–51.
  • Bastian P, Droske M, Engwer C, Klöfkorn R, Neubauer T, Ohlberger M, Rumpf M. 2004. ‘Towards a Unified Framework for Scientific Computing.’ In Proceedings of the 15th Conference on Domain Decomposition Methods. doi: 10.1007/3-540-26825-1_13.
  • Burger M, Osher S. 2004. ‘Convergence rates of convex variational regularization.’ Inverse Problems 20: 1411–1421.
  • Burger M. 2004. ‘Growth of multiple crystals in polymer melts.’ European J. Appl. Math. 15: 347–363.
  • Burger M, Hackl B, Ring W. 2004. ‘Incorporating topological derivatives into level set methods.’ J. Comp. Phys. 194: 344–362.
  • Burger M, Osher S, Yablonovitch E. 2004. ‘Inverse problem techniques for the design of photonic crystals.’ IEICE Transactions on Electronics 87 C: 258–265.
  • Ben Ameur H, Burger M, Hackl B. 2004. ‘Level set methods for geometric inverse problems in linear elasticity.’ Inverse Problems 20: 673–696.
  • Burger M. 2004. ‘Levenberg-Marquardt level set methods for inverse obstacle problems.’ Inverse Problems 20: 673–696.
  • Burger M, Engl H, Leitao A, Markowich P. 2004. ‘On inverse problems for semiconductor equations.’ Milan J. Math. 72: 273–314.
  • Burger M, Capasso V, Micheletti A. 2004. ‘Optimal control of polymer morphologies.’ J. Eng. Math. 49: 339–358.
  • Favaro P, Burger M, Soatto S. 2004. ‘Scene and motion reconstruction from defocused and motion blurred images via anisotropic diffusion.’ Contributed to the ECCV.
  • Dreyer W, Herrmann M, Kunik M. 2004. ‘Kinetic solutions of the Boltzmann-Peierls equation and its moment systems.’ Continuum Mechanics and Thermodynamics 16, Nr. 5: 453–469. doi: 10.1007/s00161-003-0171-z.
  • Malanowski K, Maurer H, Pickenhain S. 2004. ‘Second-order sufficient conditions for state-constrained optimal control problems.’ Journal of Optimization Theory and Applications 123, Nr. 3: 595–617. doi: 10.1007/s10957-004-5725-0.
  • Maurer H, Osmolovskii NP. 2004. ‘Second order sufficient conditions for time-optimal bang-bang control.’ SIAM Journal on Control and Optimization 42, Nr. 6: 2239–2263. doi: 10.1137/S0363012902402578.
  • Kim JR, Lippi GL, Maurer H. 2004. ‘Minimizing the transition time in lasers by optimal control methods single-mode semiconductor laser with homogeneous transverse profile.’ Physica D: Nonlinear Phenomena 191, Nr. 3-4: 238–260. doi: 10.1016/j.physd.2003.12.002.
  • Lunkenheimer PP, Redmann K, Florek J, Fassnacht U, Cryer CW, Wubbeling F, Niederer P. 2004. ‘The forces generated within the musculature of the left ventricular wall.’ Heart 90, Nr. 2: 200–207. doi: 10.1136/hrt.2003.011650.

  2003

  • Kröner D, Küther M, Ohlberger M, Rohde C. 2003. ‘A posteriori error estimates and adaptive methods for hyperbolic and convection dominates parabolic conservation laws.’, 289–306.
  • Küther M, Ohlberger M. 2003. ‘Adaptive second order central schemes on unstructured staggered grids.’
  • Haasdonk B, Ohlberger M, Rumpf M, Schmidt A, Siebert K. 2003. ‘Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations.’ Computing 70, Nr. Computing: 181–204.
  • Engwer C. 2003. Direkte Simulation von Transportprozessen im Boden zur Bestimmung makroskopischer Parameter.
  • Burger M. 2003. ‘A framework for the construction of level set methods for shape optimization and reconstruction.’ Interfaces and Free Boundaries 5: 301–329.
  • Burger M, Pinnau R. 2003. ‘Fast optimal design of semiconductor devices.’ SIAM J. Appl. Math. 64: 108–126.
  • Burger M. 2003. ‘Growth and impingement in polymer melts.’ Contributed to the FBP 2002, Trento.
  • Burger M, Markowich P. 2003. ‘Model reduction for semiconductor inverse dopant profiling.’ Contributed to the 4th IMACS Symposium on Mathematical Modelling, Wien, Österreich.
  • Burger M, Markowich P. 2003. ‘Model reduction for semiconductor inverse dopant profiling.’ In Proceedings of the 4th IMACS Symposium on Mathematical Modelling, edited by Troch I, Breitenecker F.
  • Lunkenheimer PP, Redmann K, Kimaun D, Cryer CW, Wubbeling F, Konertz W, Zytowsky A, Hotz H, Ho SY, Anderson RH. 2003. ‘A critical evaluation of results of partial left ventriculectomy.’ Journal of Cardiac Surgery 18, Nr. 3: 225–235. doi: 10.1046/j.1540-8191.2003.02026.x.
  • Lunkenheimer PP, Redmann K, Cryer CW, Wubbeling F, Konertz W, Batista RJV, Ho SY, Anderson RH. 2003. ‘The relationship between structure and function: why does reshaping the left ventricle surgically not always result in functional improvement?’ Computers in Biology and Medicine 33, Nr. 3: 185–196. doi: 10.1016/S0010-4825(02)00085-9.

  2002

  • Lutscher, Frithjof; Stevens, Angela. 2002. ‘Emerging patterns in a hyperbolic model for locally interacting cell systems.’ Journal of Nonlinear Science 12, Nr. 6: 619–640. doi: 10.1007/s00332-002-0510-4.
  • Karlsen KH, Ohlberger M. 2002. ‘A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations.’ J. Math. Anal. Appl. 275: 439–458.
  • Herbin R, Ohlberger M. 2002. ‘A posteriori error estimate for finite volume approximations of convection diffusion problems.’
  • Ohlberger M, Rohde C. 2002. ‘Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems.’ IMA J. Numer. Anal. 22, Nr. 2: 253–280.
  • Bürkle D, Ohlberger M. 2002. ‘Adaptive finite volume methods for displacement problems in porous media.’ Comp. Vis. Sci. 5, Nr. 2: 95–106.
  • Klöfkorn R, Kröner D, Ohlberger M. 2002. ‘Local adaptive methods for convection dominated problems.’ International Journal for Numerical Methods in Fluids 40, Nr. 1-2: 79–91.
  • Burger M, Mühlhuber W. 2002. ‘Numerical approximation of an SQP-type method for parameter identification .’ SIAM Journal on Numerical Analysis 40, Nr. 5: 1775–1797. doi: 10.1137/S0036142901389980.
  • Haslinger J, Bodenhofer U, Burger M. 2002. ‘Tuning of fuzzy systems as an ill-posed problem.’ Contributed to the ECMI 2000, Palermo.
  • Burger M, Neubauer A. 2002. ‘Analysis of Tikhonov regularization for function approximation by neural networks.’ Neural Networks 16: 79–90.
  • Haslinger J, Bodenhofer U, Burger M. 2002. ‘Data-Driven construction of Sugeno controllers: analytical aspects and new numerical methods.’ Contributed to the 9th IFSA World Congress and 20th NAFIPS International Conference, Vancouver.
  • Burger M, Engl H, Markowich P. 2002. ‘Inverse doping problems for semiconductor devices.’ Contributed to the Recent Progress in Computational and Applied PDEs.
  • Burger M, Mühlhuber W. 2002. ‘Iterative regularization of parameter identification problems by SQP methods.’ Inverse Problems 18: 943–970.
  • Burger M, Capasso V, Micheletti A. 2002. ‘Mathematical modelling of the crystallization process of polymers.’ Contributed to the 5th Hellenic Conference on Computer Mathematics and its Applications, Athens.
  • Capasso V, Burger M, Micheletti A, Salani C. 2002. ‘Mathematical models for polymer crystallization processes.’ In Mathematical modelling for polymer industry, edited by Capasso V, 167–242. Düsseldorf: Springer VDI Verlag.
  • Burger M, Capasso V, Eder G. 2002. ‘Modelling crystallization of polymers in temperature fields.’ ZAMM 82: 51–63.
  • Burger M, Capasso V, Salani C. 2002. ‘Modelling multi-dimensional crystallization of polymers in interaction with heat transfer.’ Nonlinear Analysis: Real World Applications 3: 139–160.
  • Burger M, Haslinger J, Engl H, Bodenhofer U. 2002. ‘Regularized data-driven construction of fuzzy controllers.’ J. Inverse Ill-Posed Problems 10: 319–344.
  • Haslinger J, Bodenhofer U, Burger M. 2002. ‘Tuning of fuzzy systems as an ill-posed problem.’ Contributed to the ECMI 2000, Palermo.
  • Dreyer W, Herrmann M, Kunik M. 2002. ‘Kinetic schemes and initial boundary value problems for the Euler system.’ Transport Theory and Statistical Physics 31, Nr. 1: 1–33. doi: 10.1081/TT-120003009.
  • Maurer H, Oberle HJ. 2002. ‘Second order sufficient conditions for optimal control problems with free final time: the Riccati approach.’ SIAM Journal on Control and Optimization 41, Nr. 2: 380–403. doi: 10.1137/S0363012900377419.

  2001

  • Heinze, Steffen; Papanicolaou, George; Stevens, Angela. 2001. ‘Variational principles for propagation speeds in inhomogeneous media.’ SIAM Journal on Applied Mathematics 62, Nr. 1: 129–148. doi: 10.1137/s0036139999361148.
  • Ohlberger M. 2001. ‘A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations.’ M2AN Math. Model. Numer. Anal. 35: 355–387.
  • Ohlberger M. 2001. ‘A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations.’ Numerische Mathematik 87, Nr. 4: 737–761.
  • Ohlberger M. 2001. A posteriori error estimates and adaptive methods for convection dominated transport processes.
  • Haasdonk B, Ohlberger M, Rumpf M, Schmidt A, Siebert K. 2001. h-p-Multiresolution Visualization of Adaptive Finite Element Simulations , 2001.
  • Micheletti A, Burger M. 2001. ‘Stochastic and deterministic simulation of nonisothermal crystallization of polymers .’ Journal of Mathematical Chemistry 30, Nr. 2: 169–193. doi: 10.1023/A:1017923703579.
  • Burger M. 2001. ‘A level set method for inverse problems.’ Inverse Problems 17: 1327–1356.
  • Burger M, Neubauer A. 2001. ‘Error bounds for approximation with neural networks.’ J. Approx. Theory 112: 235–250.
  • Burger M, Engl H, Markowich P, Pietra P. 2001. ‘Identification of doping profiles in semiconductor device.’ Inverse Problems 17: 1765–1795.
  • Burger M. 2001. ‘Iterative regularization of a parameter identification problem occurring in polymer crystallization.’ SIAM J. Numer. Anal. 39, Nr. SIAM J. Numer. Anal.: 1029–1054.
  • Burger M, Capasso V. 2001. ‘Mathematical modelling and simulation of non-isothermal crystallization of polymers.’ Math. Models and Methods in Appl. Sciences 11: 1029–1054.
  • Burger M, Scherzer O. 2001. ‘Regularization methods for blind deconvolution and blind source separation problems.’ Mathematics of Control, Signals and Systems 14: 358–383.
  • Natterer F, Wübbeling F. 2001. Mathematical methods in image reconstruction. N/A: Selbstverlag / Eigenverlag. doi: 10.1118/1.1455744.
  • Augustin D, Maurer H. 2001. ‘Second order sufficient conditions and sensitivity analysis for the optimal control of a container crane under state constraints.’ Optimization 49, Nr. 4: 351–368. doi: 10.1080/02331930108844537.
  • Büskens C, Maurer H. 2001. ‘Real-time control of an industrial robot under control and state constraints.’ In Online optimization of large scale systems, 83–92. Düsseldorf: Springer VDI Verlag.
  • Büskens C, Maurer H. 2001. ‘*Sensitivity analysis and real-time control of parametric optimal control problems using nonlinear programming methods.’ In Online optimization of large scale systems, 57–68. Düsseldorf: Springer VDI Verlag.
  • Maurer H, Augustin D. 2001. ‘*Sensitivity analysis and real-time control of parametric optimal control problems using boundary value methods.’ In Online optimization of large scale systems, 17–55. Düsseldorf: Springer VDI Verlag.
  • Büskens C, Maurer H. 2001. ‘*Sensitivity analysis and real-time optimization of parametric nonlinear programming problems.’ In Online optimization of large scale systems, 3–16. Düsseldorf: Springer VDI Verlag.
  • Augustin D, Maurer H. 2001. ‘Sensitivity analysis and real-time control of a container crane under state constraints.’ In Online optimization of large scale systems, 69–82. Düsseldorf: Springer VDI Verlag.
  • Augustin D, Maurer H. 2001. ‘Computational sensitivity analysis for state constrained optimal control problems.’ Annals of Operations Research 101: 75–99. doi: 10.1023/A:1010960221295.
  • Malanowski K, Maurer H. 2001. ‘Sensitivity analysis for optimal control problems subject to higher order state constraints.’ Annals of Operations Research 101: 43–73. doi: 10.1023/A:1010956104457.
  • Maurer H, Mittelmann HD. 2001. ‘Optimization techniques for solving elliptic control problems with control and state constraints. {II}. Distributed control.’ Computational Optimization and Applications 18, Nr. 2: 141–160. doi: 10.1023/A:1008774521095.

  2000

  • Stevens, Angela. 2000. ‘The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems.’ SIAM Journal on Applied Mathematics 61, Nr. 1: 183–212. doi: 10.1137/S0036139998342065.
  • Stevens, Angela. 2000. ‘A stochastic cellular automaton modeling gliding and aggregation of myxobacteria.’ SIAM Journal on Applied Mathematics 61, Nr. 1: 72–182. doi: 10.1137/S0036139998342053.
  • Hillen, Thomas; Stevens, Angela. 2000. ‘Hyperbolic models for chemotaxis in 1-D.’ Nonlinear Analysis: Real World Applications 1, Nr. 3: 409–433. doi: 10.1016/S0362-546X(99)00284-9.
  • Kröner D, Ohlberger M. 2000. ‘A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multidimensions.’ Math. Comp. 69: 25–39.
  • Burger M, Engl H. 2000. ‘Training neural networks with noisy data as an ill-posed problem.’ Adv. Comp. Math 13, Nr. Adv. Comp. Math: 335–354.
  • Büskens C, Maurer H. 2000. ‘Nonlinear programming methods for real-time control of an industrial robot.’ Journal of Optimization Theory and Applications 107, Nr. 3: 505–527. doi: 10.1023/A:1026491014283.
  • Augustin D, Maurer H. 2000. ‘An example for computational sensitivity analysis of state constrained control problems.’ In Parametric optimization and related topics, V (Tokyo, 1997), 25–35. Lausanne: Peter Lang.
  • Augustin D, Maurer H. 2000. ‘Computational sensitivity analysis of state constrained control problems.’ In Optimization, dynamics, and economic analysis, 12–21. Heidelberg: Physica-Verlag.
  • Mittelmann HD, Maurer H. 2000. ‘Solving elliptic control problems with interior point and {SQP} methods: control and state constraints.’ Journal of Computational and Applied Mathematics 120, Nr. 1-2: 175–195. doi: 10.1016/S0377-0427(00)00309-5.
  • Büskens C, Maurer H. 2000. ‘S{QP}-methods for solving optimal control problems with control and state constraints: adjoint variables, sensitivity analysis and real-time control.’ Journal of Computational and Applied Mathematics 120, Nr. 1-2: 85–108. doi: 10.1016/S0377-0427(00)00305-8.
  • Büskens C, Maurer H. 2000. ‘Real-time control of robots with initial value perturbations via nonlinear programming methods.’ Optimization 47, Nr. 3-4: 383–405. doi: 10.1080/02331930008844488.
  • Augustin D, Maurer H. 2000. ‘Second order sufficient conditions and sensitivity analysis for optimal multiprocess control problems.’ Control and Cybernetics 29, Nr. 1: 11–31.
  • Maurer H, Mittelmann HD. 2000. ‘Optimization techniques for solving elliptic control problems with control and state constraints. I. Boundary control.’ Computational Optimization and Applications 16, Nr. 1: 29–55. doi: 10.1023/A:1008725519350.

  1999

  • Geßner T, Haasdonk B, Kende R, Lenz M, Metscher M, Neubauer R, Ohlberger M, Rosenbaum W, Rumpf M, Schwörer R, Spielberg M, Weikard U. 1999. A Procedural Interface for Multiresolutional Visualization of General Numerical Data , 1999.
  • Ohlberger M. 1999. ‘Adaptive mesh refinement for single and two phase flow problems in porous media.’
  • Ohlberger M, Rumpf M. 1999. ‘Adaptive protection operators in multiresolution scientific visualizations.’ IEEE Transactions on Visualization and Computer Graphics 5, Nr. 1: 74–94.
  • Ohlberger M. 1999. ‘Mixed finite element-finte volume methods for two-phase flow in porous media.’
  • Grüne L, Metscher M, Ohlberger M. 1999. ‘On numerical algorithm and interactive visualization for optimal control problems.’ Comp. Visual. Sci. 1, Nr. 4: 221–229.
  • Burger M, Capasso V, Engl H. 1999. ‘Inverse problems related to crystallization of polymers.’ Inverse Problems 15, Nr. Inverse Problems: 155–173.
  • Burger M, Capasso V, Eder G, Engl H. 1999. ‘Modelling and parameter-identification in non-isothermal crystallization of polymers.’ Contributed to the EcMI 98, Gothenburg.
  • Maurer H. 1999. ‘Sufficient conditions and sensitivity analysis for economic control problems.’ Annals of Operations Research 88: 3–14. doi: 10.1023/A:1018942732605.

  1998

  • Ohlberger M, Schwörer R. 1998. Challenges in Fluid Dynamics.
  • Büskens C, Maurer H. 1998. ‘Sensitivity analysis and real-time control of nonlinear optimal control systems via nonlinear programming methods.’ In Variational calculus, optimal control and applications (Trassenheide, 1996), 185–196. Basel: Birkhäuser Verlag.
  • Maurer H, Büskens C, Feichtinger G. 1998. ‘Solution techniques for periodic control problems: a case study in production planning.’ Optimal Control Applications and Methods 19, Nr. 3: 185–203. doi: 10.1002/(SICI)1099-1514(199805/06)19:3<185::AID-OCA627>3.0.CO;2-E.
  • Malanowski K, Maurer H. 1998. ‘Sensitivity analysis for state constrained optimal control problems.’ Discrete and Continuous Dynamical Systems - Series A 4, Nr. 2: 241–272.
  • Malanowski K, Büskens C, Maurer H. 1998. ‘Convergence of approximations to nonlinear optimal control problems.’ In Mathematical programming with data perturbations, 253–284. New York City: Marcel Dekker Verlag.
  • Sonoc, C. 1998. ‘On the Pathwise Uniqueness of Solutions of Stochastic Differential Equations.’ Portugaliae Mathematica 55: 451–456.

  1997

  • Stevens, Angela; Schweitzer, Frank. 1997. ‘Aggregation induced by diffusing and non-diffusing media.’ In Dynamics of Cell and Tissue Motion. Mathematics and Biosciences in Interaction., edited by Alt, Wolfgang; Deutsch, Andreas; Dunn, Graham, 183–192. Basel: Birkhäuser Verlag. doi: 10.1007/978-3-0348-8916-2_22.
  • Othmer, Hans G.; Stevens, Angela. 1997. ‘Aggregation, blowup, and collapse: The ABC's of taxis in reinforced random walks.’ SIAM Journal on Applied Mathematics 57, Nr. 4: 1044–1081. doi: 10.1137/s0036139995288976.
  • Neubauer R, Ohlberger M, Rumpf M, Schwörer R. 1997. ‘Efficient visualization of large-scale data on hierarchical meshes.’
  • Ohlberger M, Rumpf M. 1997. ‘Hierarchical and adaptive visualization on nested grids.’ Computing 59, Nr. Computing: 365–385.
  • Ohlberger M. 1997. ‘Convergence of a mixed finite element-finite volume method for the two phase flow in porous media.’ East-West journal of numerical mathematics 5, Nr. 3: 183–210.
  • Sonoc, C. 1997. ‘The Cauchy Problem for Seismic Wave Propagation.’ Analele Univ. de Vest din Timisoara, Seria Matematica/Informatica XXXV: 299–305.

  1996

  • Stevens, Angela. 1996. ‘Simulation of chemotaxis-equations in two space dimensions.’ In Nonlinear Physics of Complex Systems - Current Status and Future Trends, edited by Parisi, Jürgen; Müller, Stefan C.; Zimmermann, Walter, 363–371. Heidelberg: Springer. doi: 10.1007/BFb0105453.

  1995

  • Stevens, Angela. 1995. ‘Trail Following and Aggregation of Myxobacteria.’ Journal of Biological Systems 3, Nr. 4: 1059–1068. doi: 10.1142/S0218339095000952.
  • Natterer F, Wübbeling F. 1995. ‘A propagation-backpropagation method for ultrasound tomography.’ Inverse Problems 11, Nr. 6: 1225–1232. doi: 10.1088/0266-5611/11/6/007.

  1993

  • Stevens, Angela. 1993. ‘Aggregation of Myxobacteria - a many particle system.’ In Proceedings 1st European Conference on the Applications of Mathematics to Medicine & Biology (1990) , edited by Demongeot, Jacques; Capasso, Vincenzo, 519–524. Winnipeg: Wuerz Publishing Ltd.
  • Natterer F, Wübbeling F. 1993. ‘A finite difference method for the inverse scattering problem at fixed frequency.’ In Inverse problems in mathematical physics (Saariselkä, 1992), 157–166. Düsseldorf: Springer VDI Verlag. doi: 10.1007/3-540-57195-7_18.

  1991

  • Stevens, Angela. 1991. ‘A model for gliding and aggregation of Myxobacteria.’ In Nonlinear wave processes in excitable media, edited by Holden, Arun V.; Markus, Mario; Othmer, Hans G., 269–276. Luxemburg: Springer Science+Business Media. doi: 10.1007/978-1-4899-3683-7_25.

  1990

  • Stevens, Angela. 1990. ‘Simulations of the aggregation and gliding behavior of Myxobacteria.’ In Biological motion, edited by Alt, Wolfgang; Hoffmann, Gerhard, 548–555. Heidelberg: Springer. doi: 10.1007/978-3-642-51664-1_36.

  1980

  • Lempio F, Maurer H. 1980. ‘Differential stability in infinite-dimensional nonlinear programming.’ Applied Mathematics and Optimization 6, Nr. 2: 139–152. doi: 10.1007/BF01442889.

  1979

  • Maurer H. 1979. ‘Differential stability in optimal control problems.’ Applied Mathematics and Optimization 5, Nr. 4: 283–295. doi: 10.1007/BF01442559.
  • Maurer H, Zowe J. 1979. ‘First and second order necessary and sufficient optimality conditions for infinite-dimensional programming problems.’ Mathematical Programming 16, Nr. 1: 98–110. doi: 10.1007/BF01582096.

  1978

  • Zowe J, Maurer H. 1978. ‘Optimality conditions for the programming problem in infinite dimensions.’ In Optimization and operations research (Proc. Workshop, Univ. Bonn, Bonn, 1977), 261–270. Düsseldorf: Springer VDI Verlag.
  • Lempio F, Maurer H. 1978. ‘Differentiable perturbations of infinite optimization problems.’ In Optimization and operations research (Proc. Workshop, Univ. Bonn, Bonn, 1977), 181–191. Düsseldorf: Springer VDI Verlag.
  • Maurer H, Zowe J. 1978. ‘Second-order necessary and sufficient optimality conditions for infinite-dimensional programming problems.’ In Optimization techniques (Proc. 8th {IFIP} Conf., Würzburg, 1977), Part 2, 13–21. Düsseldorf: Springer VDI Verlag. doi: 10.1007/BFb0006504.

  1977

  • Maurer H. 1977. ‘On optimal control problems with bounded state variables and control appearing linearly.’ SIAM Journal on Control and Optimization 15, Nr. 3: 345–362. doi: 10.1137/0315023.

  1976

  • Maurer H. 1976. ‘Numerical solution of singular control problems using multiple shooting techniques.’ Journal of Optimization Theory and Applications 18, Nr. 2: 235–257. doi: 10.1007/BF00935706.

  1975

  • Maurer H, Heidemann U. 1975. ‘Optimale Steuerprozesse mit Zustandsbeschränkungen.’ In Optimization and optimal control (Proc. Conf., Oberwolfach, 1974), 244–260. Düsseldorf: Springer VDI Verlag.
  • Maurer H, Gillessen W. 1975. ‘Application of multiple shooting to the numerical solution of optimal control problems with bounded state variables.’ Computing 15, Nr. 2: 105–126. doi: 10.1007/BF02252860.
  • Maurer H. 1975. ‘An example of a continuous junction for a singular control problem of even order.’ SIAM Journal on Control and Optimization 13: 899–903. doi: 10.1137/0313055.

• Institute for Mathematical Logic and Foundations of Mathematics

   

• Institute for Didactics of Mathematics and Computer Science

   

  Publikationen

  • 2024
  • 2023
  • 2022
  • 2021
  • 2020
  • 2019
  • 2018
  • 2017
  • 2016
  • 2015
  • 2014
  • 2013
  • 2012
  • 2011
  • 2010
  • 2009
  • 2008
  • 2007
  • 2006
  • 2005
  • 2004
  • 2003
  • 2002
  • 2001
  • 2000
  • 1999
  • 1998
  • 1997
  • 1996
  • 1995
  • 1994
  • 1993
  • 1992
  • 1991
  • 1990
  • 1989
  • 1988
  • 1987
  • 1986
  • 1985
  • 1981
  • 1980
  • 1979
  • 1978

  2024

  • Podworny, S; Frischemeier, D; Dvir, M; Ben-Zvi, D (Eds.): 2024. Reasoning with data models and modelling in the big data era. Paderborn: Universitätsbibliothek Paderborn. doi: 10.17619/UNIPB/1-1815.
  • Podworny, S; Frischemeier, D. 2024. ‘Young learners’ perspectives on the concept of data as a model: what are data and what are they used for?’ In Reasoning with data models and modelling in the big data era, edited by Podworny, S; Frischemeier, D; Dvir, M; Ben-Zvi, D, 15–23. Paderborn: Universitätsbibliothek Paderborn.
  • Dvir, M; Podworny, S; Ben-Zvi, D; Frischemeier, D. 2024. ‘The multidimensional pedagogical potential of data modeling.’ In Reasoning with data models and modelling in the big data era, edited by Podworny, S; Frischemeier, D; Dvir, M; Ben-Zvi, D, 7–14. Paderborn: Universitätsbibliothek Paderborn.
  • Nührenbörger, Marcus; Wember, Franz B; Wollenweber, Tobias; Frischemeier, Daniel; Korten, Laura; Selter, Christoph. 2024. ‘Development of teachers’ attitudes and self‐efficacy expectations for inclusive mathematics instruction: effects of online and blended learning programs.’ Journal of Mathematics Teacher Education online first. doi: https://doi.org/10.1007/s10857-024-09624-8.
  • Frischemeier, D. 2024. „Daten handlungsorientiert und mediengestützt unterrichten.“ Grundschulmagazin 2024, Nr. 2: 2–6.
  • Frischemeier, D.; Kuzu, T. 2024. „Datenexploration mit Piktogramm-Datenkarten.“ Grundschulmagazin 2024, Nr. 2: 7–12.
  • Kuzu, T.; Frischemeier, D. 2024. „Von Bits und Bytes.“ Grundschulmagazin 2024, Nr. 2: 34–39.
  • Wirth, Laura; Kirsten, Katharina; Serpé, Christian; Greefrath, Gilbert. 2024. ‘Strategische Videos zum Beweisen in der Studieneingangsphase – das Projekt ProVie.’ In Lernvideos in der Mathematik – Beiträge zur Abschlusstagung des Projektes studiVEMINTvideos der Universität Paderborn und der TH Köln, edited by Liebendörfer, Michael; Schmitz, Angela; Biehler, Rolf, 127–133. N/A: Selbstverlag / Eigenverlag. doi: 10.17170/kobra-2024081810686-127.
  • Nguyen, Hoang; Greefrath, Gilbert. 2024. ‘Comparing the efficacy of dynamic vs. static visualisations in students’ characteristics of basic mental models of the derivative.’ In Proceedings of the 14th ERME Topic Conference, edited by Faggiano, E.; Clark-Wilson, A.; Tabach, M.; Weigand, H.-G., 287–294. Bari: HAL.
  • Kirsten, Katharina; Greefrath, Gilbert; Emmrich, Rico. 2024. ‘Technology-based vs. paper-pencil: Mode effects in large-scale assessments.’ In Proceedings of the 14th ERME Topic Conference, edited by Faggiano, E.; Clark-Wilson, A.; Tabach, M.; Weigand, H.-G., 223–230. Bari: HAL.
  • Siller, H.-S.; Geiger, V.; Greefrath, G. 2024. ‘The Role of Digital Resources in Mathematical Modelling in Extending Mathematical Capability.’ In Handbook of Digital Resources in Mathematics Education, edited by Pepin, B.; Gueudet, G.; Chippin, J., 495–518. Heidelberg: Springer. doi: 10.1007/978-3-031-45667-1_18.
  • Heuckmann, B.; Kürten, R. 2024. ‘Entwicklung professioneller Kompetenzen von Studierenden durch den Besuch von Lehr-Lern-Labor Seminaren zum Einsatz digitaler Medien. Ergebnisse einer Evaluationsstudie zur Veränderung von Selbstwirksamkeitserwartungen.’ In Lehr-Lern-Labore, Lernwerkstätten und Learning-Center. Ergebnisse zur Qualitätsoffensive Lehrerbildung., edited by Kürten, Ronja; Hammann, Marcus; Greefrath, Gilbert, 185–204. Münster: Waxmann.
  • Brnic Maxim , Greefrath Gilbert , Reinhold Frank. 2024. ‘Working with digital textbooks or printed materials: A study with boys and girls on conditional probability.’ ZDM - Mathematics Education 56, Nr. 4: 559–572. doi: 10.1007/s11858-023-01543-x.
  • Wirth, Laura; Greefrath, Gilbert. 2024. ‘Working with an instructional video on mathematical modeling: upper-secondary students’ perceived advantages and challenges.’ ZDM - Mathematics Education 56, Nr. 4: 573–587. doi: https://doi.org/10.1007/s11858-024-01546-2.
  • Kürten R; Greefrath G; Hammann M (Hrsg.): 2024. Digitale Medien in Lehr-Lern-Laboren: Innovative Lehrformate in der Lehrkräftebildung zum Umgang mit Diversität und Inklusion. Münster: Waxmann. doi: 10.31244/9783830998365.
  • Kürten, R., Greefrath, G., Hammann, M., Marohn, A., Windt. A. 2024. „Diversitätssensibel unterrichten mit digitalen Medien: Ein Kompetenzmodell zur Planung und Reflexion von Lehr-Lern-Laboren.“ In Digitale Medien in Lehr-Lern-Laboren: Innovative Lehrformate in der Lehrkräftebildung zum Umgang mit Diversität und Inklusion, herausgegeben von Kürten, R., Greefrath, G., Hammann, M., 39–62. Münster: Waxmann. doi: 10.31244/9783830998365.
  • Quarder, J.; Greefrath, G. 2024. „Mathematisches Modellieren mit digitalen Werkzeugen im Lehr-Lern-Labor-Seminar: Empirische Ergebnisse zur Förderung kognitiver Aspekte der bereichsspezifischen professionellen Diagnosekompetenz.“ In Digitale Medien in Lehr-Lern-Laboren: Innovative Lehrformate in der Lehrkräftebildung zum Umgang mit Diversität und Inklusion, herausgegeben von Kürten, R.; Greefrath, G.; Hammann, M., 111–129. Münster: Waxmann. doi: 10.31244/9783830998365.
  • Greefrath G; Barzel B; Nagel M. 2024. „(Auf) Schriftliche Prüfungen vorbereiten ... konstruktiv in allen Klassen bis zum Abschluss.“ Mathematik lehren 242: 36–41.
  • Barzel B; Greefrath G; Nagel M; Hoffmann M. 2024. „Digitalisierung als Chance für alle Prinzipien guten Unterrichts.“ Mathematik lehren 242: 42–47.
  • Greefrath, G.; Siller, H.-S. 2024. ‘Editorial: Mathematical modelling through and with digital resources.’ Frontiers in Education 9: 1382594. doi: 10.3389/feduc.2024.1382594.
  • Basendowski, Sven; Greefrath, Gilbert. 2024. „Anwendungsbezug in Mathematik-Large-Scale-Assessments im Bildungsmonitoring für den Sekundarstufe I – Bildungsgang des sonderpädagogischen Schwerpunkts Lernen.“ Journal für Mathematik-Didaktik 45, Nr. 1: 6. doi: 10.1007/s13138-024-00230-y.
  • Frenken, L.; Klinger, M.; Greefrath, G.; Barzel, B. 2024. „Kognitives Potenzial deutscher Abituraufgaben.“ Journal für Mathematik-Didaktik 45, Nr. 2: 8. doi: 10.1007/s13138-024-00233-9.
  • Greefrath, G.; Oldenburg, R.; Siller, H.-S.; Ulm, V.; Weigand, H.-G. 2024. Digitalisierung im Mathematikunterricht: Theorie und Praxis digitaler Medien in der Sekundarstufe I. Heidelberg: Springer Spektrum. doi: 10.1007/978-3-662-68682-9.
  • Greefrath, G.; Carreira, S. 2024. ‘Mathematical Applications and Modelling in Mathematics Education.’ In Proceedings of the 14th International Congress on Mathematical Education, edited by Wang, Jianpan, 417–421. Singapore: World Scientific Publishing. doi: 10.1142/9789811287152_0046.
  • Kirsten, K.; Greefrath, G. 2024. ‘On-Campus vs Distance Tutorials in Preparatory Courses for Mathematics Student Teachers. Performance Gains and Influencing Factors.’ International Journal of Research in Undergraduate Mathematics Education 10, Nr. 2: 547–576. doi: 10.1007/s40753-023-00221-3.
  • Frenken L, Libbrecht P, Becker B, Greefrath G. 2024. ‘Dynamic geometry tasks in standardized assessment – analysis of solution processes and consequences for practice.’ International Journal of Mathematical Education in Science and Technology 55, Nr. 5: 1117–1133. doi: 10.1080/0020739X.2022.2036838.
  • Thomas, Marco; Weigend, Michael (Eds.): 2024. Informatik in Teams. 11. Münsteraner Workshop zur Schulinformatik. N/A: Selbstverlag / Eigenverlag.
  • Wiehe, K.; Schukajlow, S.; Krawitz, J.; Rakoczy, K. 2024. ‘The OModA Project: Designing a Teaching Method to Help Students Dealing with Openness in Modelling Problems.’ In Researching Mathematical Modelling Education in Disruptive Times, edited by Siller, HS., Geiger, V., Kaiser, G., 377–386. Heidelberg: Springer. doi: 10.1007/978-3-031-53322-8_30.
  • Gerber, S.; Quarder, J.; Greefrath, G.; Siller, H.-S. 2024. ‘Pre-service teachers’ self-efficacy for teaching simulations and mathematical modelling with digital tools.’ In Researching Mathematical Modelling Education in Disruptive Times, edited by Siller, H.-S.; Geiger, V.; Kaiser, G., 271–281. Heidelberg: Springer Spektrum. doi: https://doi.org/10.1007/978-3-031-53322-8_21.
  • Quarder, J. 2024. Mathematisches Modellieren mit digitalen Werkzeugen in der Lehrkräftebildung. Konzeption und Evaluation eines Lehr-Lern-Laborseminars. Wiesbaden: Springer Fachmedien Wiesbaden. doi: 10.1007/978-3-658-44996-4.
  • Wiehe, K.; Quarder, J. 2024 Investieren in ETFs – Eine digitalgestützte Modellierungsaufgabe für den Mathematikunterricht miami. doi: 10.17879/26938651293.
  • Schukajlow, S.; Krawitz, J.; Wiehe, K.; Rakoczy, K. 2024. ‘Effect of teaching students to solve open modelling problems on utility, intrinsic, and attainment value.’ In Proceedings of the 47th Conference of theInternational Group for the Psychology of Mathematics Education, edited by Evans. T.; Marmur, O.; Hunter, J.; Leach, G.; Jhagroo, J., 81–88. Internet: PME.
  • Krawitz, J.; Wiehe, K. 2024. ‘Impact of prompts on expectancies for success, task values, and costs in problem posing.’ In Proceedings of the 47th Conference of theInternational Group for the Psychology of Mathematics Education, edited by Evans. T.; Marmur, O.; Hunter, J.; Leach, G.; Jhagroo, J., 161–168. Internet: PME.
  • Nguyen, Hoang. 2024. ‘Erlernen der Ableitung über dynamische Visualisierungen per se besser als über statische? – Ergebnisse einer Pilotierungsstudie.’ In Tagungsband zur Vernetzungstagung 2023 in Siegen, edited by Dilling, Frederik; Stoffels, Gero; Witzke, Ingo, 289–306. Münster: Verlag für wissenschaftliche Texte und Medien. doi: https://doi.org/10.37626/GA9783959872942.0.
  • Krause, Maurice; Greefrath, Gilbert; Forthmann, Boris; Kremer, Fabienne E.; Reer, Felix; Laumann, Daniel; Masemann, Dörthe; Denz, Cornelia; Heinicke, Susanne; Leibrock, Barbara; Marohn, Annette; Quandt, Thorsten; Souvignier, Elmar; Ubben, Malte; Heusler, Stefan. 2024. ‘Effects of student-owned and provided mobile devices on mathematical modeling competence: investigating interaction effects with problematic smartphone use and fear of missing out.’ Frontiers in Education 9: 1167114. doi: 10.3389/feduc.2024.1167114.

  2023

  • Müller-Späth, Joscha; Frischemeier, Daniel; Walter, Daniel. 2023. „Also in Mathe schauen wir Videos!“ Grundschulmagazin 2023, Nr. 2: 34–39.
  • Frischemeier, Daniel. 2023. ‘Reading and Interpreting Distributions of Numerical Data in Primary School.’ In Research on Reasoning with Data and Statistical Thinking: International Perspectives, edited by Burrill, Gail; de Oliveira Souza, Leandro; Reston, Enriqueta, 79–99. Berlin: Springer Nature. doi: https://doi.org/10.1007/978-3-031-29459-4.
  • ‘Early Statistical and Probabilistic Thinking’, edited by Leavy, Aisling; Meletiou-Mavrotheris, Maria; Paparistodemou, Efi; Frischemeier, Daniel 2023. Statistics Education Research Journal 22.
  • Leavy, Aisling; Meletiou-Mavrotheris, Maria; Paparistodemou, Efi; Frischemeier, Daniel. 2023. ‘Research on Early Statistical and Probabilistic Thinking.’ Statistics Education Research Journal 22, Nr. 2: 1–4. doi: ttps://doi.org/10.52041/serj.v22i2.706.
  • Biehler, Rolf; Engel, Joachim; Frischemeier, Daniel. 2023. „Stochastik: Leitidee Daten und Zufall.“ In Handbuch der Mathematikdidaktik - 2. Auflage, herausgegeben von Bruder, Regina; Büchter, Andreas; Gasteiger, Hedwig; Schmidt-Thieme, Barbara; Weigand, Hans-Georg, 243–278. Berlin: Springer Nature. doi: 10.1007/978-3-662-66604-3.
  • Biehler, Rolf; Frischemeier, Daniel; Gould, Robert; Pfannkuch, Maxine. 2023. ‘Impacts of Digitalization on Content and Goals of Statistics Education.’ In Handbook of Digital Resources in Mathematics Education, edited by Pepin, B.; Gueudet, G.; Choppin, J., 1–37. Basel : Springer International Publishing. doi: https://doi.org/10.1007/978-3-030-95060-6_20-1.
  • Primi, C; Leavy, A; Kazak, S; Frischemeier, D; Gonzalez, O; Andre, M. 2023. ‘An introduction to TWG5: Probability and statistics education.’ In Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by Drijvers, P; Csapodi, C; Palmér, H; Gosztonyi, K; Kónya, E, 838–841. Budapest: Alfréd Rényi Institute of Mathematics and ERME.
  • Mense, Sophie; Höveler, Karina. 2023. „Mathematisch-konzeptuelle und sprachliche Kompetenzen bei mündlichen Beschreibungen operativer Veränderungen.“ In Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, herausgegeben von IDMI-Primar Goethe-Universität Frankfurt, 1041–1044. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959872089.0.
  • Mense, Sophie; Höveler, Karina; Blohm, Pauline Anne; Willemsen, Lisa Constanze. 2023. ‘Designing a tool for authoring digital problem-solving tasks in an app – an integrative learning design study.’ In Proceedings of the 13th Congress of the European Society for Research in Mathematics Education (CERME13), edited by Drijvers, P.; Csapodi, C.; Palmér, H.; Gosztonyi, K.; Kónya, E., 2993–3000. Budapest: Alfréd Rényi Institute of Mathematics and ERME.
  • Mense, Sophie; Höveler, Karina. 2023. „Problemlösen mit der App Kombi. Ergebnisse einer Integrativen Learning Design-Studie.“ In Grundlegende Kompetenzen sichern: Lernende und Lehrende im Blick. Tagungsband des AK Grundschule in der GDM 2023, herausgegeben von Anna Susanne Steinweg, 89–92. Bamberg: University of Bamberg Press.
  • Gerber, S.; Quarder, J.; Greefrath, G.; Siller, H.-S. 2023. ‘Promoting adaptive intervention competence for teaching simulations and mathematical modelling with digital tools: theoretical background and empirical analysis of a university course in teacher education.’ Frontiers in Education 8: 1–15. doi: 10.3389/feduc.2023.1141063.
  • Nguyen, Hoang; Greefrath, Gilbert. 2023. ‘DYNAMISCH vs. STATISCH – Vergleich zweier Visualisierungen beim Erlernen der Ableitung .’ In Beiträge zum Mathematikunterricht 2022, edited by IDMI-Primar Goethe-Universität Frankfurt, xx. Münster: Verlag für wissenschaftliche Texte und Medien. doi: http://dx.doi.org/10.17877/DE290R-23831.
  • Kirsten, K.; Neuhaus-Eckhardt, S. 2023. ‘Strategies for proof construction (self-reports vs performance) - Is prior knowledge important?’ In Proceedings of the 46th conference of the International Group for the Psychology of Mathematics Education, edited by Ayalon, M.; Koichu, B.; Leikin, R.; Rubel, L.; Tabach, M., 155–162. Internet: PME.
  • Kämmerer, Melanie. 2023. ‘Bearbeitung von Modellierungsaufgaben mit viel/wenig persönlichem Interesse am real-weltlichen Aufgabenkontext.’ In Beiträge zum Mathematikunterricht 2022, edited by IDMI-Primar Goethe-Universität Frankfurt, 897–900. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23657.
  • Kaiser, G.; Blum, W.; Borromeo Ferri, R.; Greefrath, G. 2023. „Mathematisches Modellieren.“ In Handbuch der Mathematikdidaktik, herausgegeben von Bruder, R.; Büchter, A.; Gasteiger, H.; Schmidt-Thieme, B.; Weigand, H.-G., 399–428. 2. Aufl. Heidelberg: Springer. doi: 10.1007/978-3-662-66604-3_13.
  • Frenken, L.; Greefrath, G. 2023. „Selbstreguliertes Lernen in einer digitalen Lernumgebung.“ Mathematik lehren 238: 29–32.
  • Back, Andreas. 2023. Erfassung von Kompetenzen zur Nutzung des digitalen Werkzeugs GeoGebra. Ein Testinstrument. . MIAMI Universität Münster, 2023. doi: 10.17879/68968681572.
  • Quarder, J.; Gerber, S.; Siller, H.-S.; Greefrath, G. 2023. ‘Theory-related pedagogical content knowledge for teaching simulations and mathematical modelling with digital tools – empirical analysis of the promotion of pre-service teachers.’ In Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by Drijvers, P.; Csapodi, C.; Palmér, H.; Gosztonyi, K.; Kónya, E., 1325–1332. Budapest: Alfréd Rényi Institute of Mathematics and ERME.
  • Surel, Anna; Greefrath, Gilbert. 2023. ‘The influence of retelling the task situation on making assumptions when working on mathematical modelling tasks with missing data.’ In Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by Drijvers, P.; Csapodi, C.; Palmér, H.; Gosztonyi, K.; Kónya, E., 1353–1360. Budapest: Alfréd Rényi Institute of Mathematics and ERME.
  • Meyer, Marlena; Greefrath, Gilbert. 2023. ‘Students’ measurement estimation skills and their relation to the process of solving Fermi problems.’ In Proceedings of the Thirteenth Congress of European Society for Research in Mathematics Education, edited by Drijvers, Paul; Csapodi, Csaba; Palmér, Hanna; Gosztonyi, Katalin; Kónya, Eszter, 1295–1296. Budapest: Alfréd Rényi Institute of Mathematics and ERME.
  • Rewer, Antonia; Greefrath, Gilbert. 2023. ‘The impact of linguistic and mathematical difficulty - determining characteristics of students' performance in test items in mathematics.’ In Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by Drijvers, P.; Csapodi, C.; Palmér, H.; Gosztonyi, K.; Kónya, E., 4036–4043. Budapest: Alfréd Rényi Institute of Mathematics and ERME.
  • Jacinto, Hélia; Carreira, Susana; Greefrath, Gilbert. 2023. ‘Mathematical modelling and problem solving connected through technology: A case study with an in-service teacher.’ In Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by Drijvers, P.; Csapodi, C.; Palmér, H.; Gosztonyi, K.; Kónya, E., 1219–1226. Budapest: Alfréd Rényi Institute of Mathematics and ERME.
  • Kämmerer, Melanie. 2023. ‘Students’ use of assumptions to solve a modelling task with much or little personal interest in the real-world context of the task.’ In Proceedings of the Thirteenth Congress of the European Society for Research in Mathematics Education (CERME13), edited by Drijvers, P.; Palmér, H.; Gosztonyi, K., 1235–1242. Budapest: Alfréd Rényi Institute of Mathematics and ERME.
  • Siller, H.-S., Elschenbroich, H.-J., Greefrath, G., Vorhölter, K. 2023. ‘Mathematical modelling of exponential growth as a rich learning environment for mathematics classrooms.’ ZDM - Mathematics Education 55, Nr. 1: 17–33. doi: 10.1007/s11858-022-01433-8.
  • Kirsten, K.; Greefrath, G. 2023. „Vorkurs in Zeiten von Corona: Zur Entwicklung affektiver Merkmale in Präsenz und Distanz.“ In Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12. November 2021 aus Bochum, herausgegeben von Härterich, J.; Kallweit, M.; Rolka, K.; Skill, T., 107–122. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959872645.0.
  • Nguyen, Hoang. 2023. ‘The influence of dynamic visualizations on learning derivatives.’ In MEDA3 Mathematics Education in Digital Age 3. Proceedings of the 13th ERME Topic Conference (ETC13) held on 7 – 9 September 2022 in Nitra, Slovakia, edited by Weigand, H.-G.; Donevska-Todorova, A.; Faggiano, E, ; Iannone, P.; Medová, J.; Tabach, M.; Turgut, M., 317–318. Nitra: Constantine the Philosopher University in Nitra.
  • Meier M; Greefrath G; Hammann M; Wodzinski R; Ziepprecht K. 2023. „Lehr-Lern-Labore und Digitalisierung. Strömungen und Veränderungen in der Lehr-Lern-Labor-Landschaft als Folge des digitalen Wandels.“ In Lehr-Lern-Labore und Digitalisierung, herausgegeben von Meier M; Greefrath G; Hammann M; Wodzinski R; Ziepprecht K, 1–16. Wiesbaden: Springer Fachmedien Wiesbaden. doi: 10.1007/978-3-658-40109-2_1.
  • Meier, M., Greefrath, G., Hammann, M., Wodzinski, R., Ziepprecht, K. (Hrsg.): 2023. Lehr-Lern-Labore und Digitalisierung. Wiesbaden: Springer Fachmedien Wiesbaden. doi: 10.1007/978-3-658-40109-2.
  • Cevikbas, M.; Greefrath, G.; Siller, H.-S. 2023. ‘Advantages and challenges of using digital technologies in mathematical modelling education – a descriptive systematic literature review.’ Frontiers in Education 8: 1–17. doi: 10.3389/feduc.2023.1142556.
  • Greefrath G; Carreira S; Stillman G. 2023. ‘Advancing Mathematical Modelling and Applications Educational Research and Practice.’ In Advancing and Consolidating Mathematical Modelling: Research from ICME-14, edited by Greefrath G; Carreira S; Stillman G., 3–19. Basel : Springer International Publishing. doi: 10.1007/978-3-031-27115-1_1.
  • Siller, H.-S.; Greefrath, G.; Wess, R.; Klock, H. 2023. ‘Pre-service Teachers’ Self-Efficacy for Teaching Mathematical Modelling.’ In Advancing and Consolidating Mathematical Modelling: Research from ICME-14, edited by Greefrath G; Carreira S; Stillman G., 259–274. Basel : Springer International Publishing. doi: 10.1007/978-3-031-27115-1_16.
  • Greefrath, G.; Carreira, S.; Stillman, G. (Eds.): 2023. Advancing and Consolidating Mathematical Modelling: Research from ICME-14. Basel : Springer International Publishing. doi: 10.1007/978-3-031-27115-1.
  • Kirsten, K.; Greefrath, G. 2023. ‘Proof construction and in-process validation – Validation activities of undergraduates in constructing mathematical proofs.’ Journal of Mathematical Behavior 70: 101064. doi: 10.1016/j.jmathb.2023.101064.
  • Wirth, Laura. 2023. „Modellierungskompetenz mit Videos erwerben (MoVie): Wahrgenommene Vorteile und Herausforderungen bei der Arbeit mit einem heuristischen Lösungsbeispielvideo.“ In Digitaler Mathematikunterricht in Forschung und Praxis: Tagungsband zur Vernetzungstagung 2022 in Siegen, herausgegeben von Dilling, Frederik; Thurm, Daniel; Witzke, Ingo, 253–262. Münster: Verlag für wissenschaftliche Texte und Medien. doi: https://doi.org/10.37626/GA9783959872041.0.25.
  • Quarder, J.; Gerber, S.; Siller, H.-S.; Greefrath, G. 2023. „Simulieren und mathematisches Modellieren mit digitalen Werkzeugen im Lehr-Lern-Laborseminar. Förderung und empirische Analyse der bereichsspezifischen Aufgabenkompetenz.“ In Lehr-Lern-Labore und Digitalisierung, herausgegeben von Meier, M.; Greefrath, G.; Hammann, M.; Wodzinski, R.; Ziepprecht, K., 33–46. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.1007/978-3-658-40109-2_3.
  • Quarder, J.; Gerber, S.; Siller H.-S.; Greefrath, G. 2023. „Transmissive Überzeugungen zum Einsatz digitaler Werkzeuge beim Lehren des Simulierens und Modellierens.“ In Beiträge zum Mathematikunterricht 2022, herausgegeben von IDMI-Primar Goethe-Universität Frankfurt, 333–336. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23373.
  • Weyers J; König J; Rott B; Greefrath G; Vorhölter K; Kaiser G. 2023. ‘Mathematics teachers’ professional noticing: Transfer of a video-based competence assessment instrument into teacher education for evaluation purposes.’ Zeitschrift für Erziehungswissenschaft 26. doi: 10.1007/s11618-023-01159-7.
  • Greefrath G; Schmitz A; Hilger S; Ostsieker L; Schönbrodt S; Siller H. 2023. „Bericht des Arbeitskreises ISTRON-Gruppe – Realitätsbezüge im Mathematikunterricht.“ In Beiträge zum Mathematikunterricht 2022, herausgegeben von IDMI-Primar Goethe-Universität Frankfurt, 1463–1464. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23477.
  • Greefrath G; Vorhölter K; Siller H; Kaiser G. 2023. „Diskrete Modelle als Potenzial beim mathematischen Modellieren.“ In Beiträge zum Mathematikunterricht 2022, herausgegeben von IDMI-Primar Goethe-Universität Frankfurt, 777–780. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23626.
  • Greefrath G; Siller H; Vorhölter K. 2023. „Minisymposium 13: Empirische Studien zum mathematischen Modellieren.“ In Beiträge zum Mathematikunterricht 2022, herausgegeben von IDMI-Primar Goethe-Universität Frankfurt, 327–328. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23371.
  • Wirth L; Greefrath G. 2023. ‘Modellierungskompetenz mit Videos erwerben (MoVie) – Eine Studie mit Schüler*innen der Sekundarstufe II.’ In Beiträge zum Mathematikunterricht 2022, edited by IDMI-Primar Goethe-Universität Frankfurt, 1385–1388. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23449.
  • Brnic M; Greefrath G. 2023. „Die selbstständige Nutzung eines digitalen Mathematikschulbuchs im Distanzunterricht.“ In Beiträge zum Mathematikunterricht 2022, herausgegeben von IDMI-Primar Goethe-Universität Frankfurt, 629–632. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23589.
  • Kirsten K; Greefrath G. 2023. „Vorkurs in Zeiten von Corona – Zur Leistungsentwicklung in Distanz und Präsenz.“ In Beiträge zum Mathematikunterricht 2022, herausgegeben von IDMI-Primar Goethe-Universität Frankfurt, 921–924. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23667.
  • Krause, Maurice; Greefrath, Gilbert. 2023. „Zum Interesse an digitalen Aufgaben: Geschlechtsspezifische Unterschiede zwischen Schülerinnen und Schülern.“ In Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, herausgegeben von IDMI-Primar Goethe-Universität Frankfurt, 953–956. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23696.
  • Surel, Anna; Meyer, Marlena. 2023. ‘Einfluss des Nacherzählens einer Aufgabensituation auf den Bearbeitungsprozess von Modellierungsaufgaben.’ In Beiträge zum Mathematikunterricht 2022, edited by IDMI-Primar Goethe-Universität Frankfurt, 1453. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23354.
  • Greefrath, Gilbert; Oldenburg, Reinhard; Siller, Hans-Stefan; Ulm, Volker; Weigand, Hans-Georg. 2023. ‘Mathematics Students’ Characteristics of Basic Mental Models of the Derivative.’ Journal für Mathematik-Didaktik 44: 143–169. doi: 10.1007/s13138-022-00207-9.
  • Schukajlow, S.; Rakoczy, K.; Pekrun, R. 2023. ‘Emotions and motivation in mathematics education: Where we are today and where we need to go.’ ZDM - Mathematics Education 25, Nr. 1.
  • Back A; Greefrath G; Schukajlow S. 2023. ‘Sind Kontexte lernförderlich? Konzeption der Einführung eines digitalen Werkzeugs und digitales Modellieren.’ In Beiträge zum Mathematikunterricht 2022, edited by IDMI-Primar Goethe-Universität Frankfurt, 1412. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23453.
  • Volbers G; Schukajlow S; Greefrath G; Krawitz J. 2023. ‘Zeichnen einer Skizze - (K)eine geeignete heuristische Strategie zur Lösung nicht-linearer Probleme?’ In Beiträge zum Mathematikunterricht 2022, edited by IDMI-Primar Goethe-Universität Frankfurt, 231–234. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23438.
  • Wiehe, K.; Krawitz, J.; Schukajlow, S.; Rakoczy, K. 2023. ‘Lösen offener Aufgaben fördern - Konzeption einer Unterrichtsstudie im Projekt OModA.’ In Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfurt, 1373–1376. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-23448.
  • Hartmann, Luisa-Marie; Schukajlow, Stanislaw; Niss, Mogens; Jankvist, Uffe Thomas. 2023. ‘The roles preservice teachers adopt in modeling-related problem posing.’ In Proceeding of the 46th Conference of the International Group for the Psychology of Mathematics Education (Vol. 3), edited by Ayalon, Michal; Koichu, Boris; Leikin, Roza; Rubel, Laurie; Tabach, Michal, 19–26. Internet: PME.
  • Böswald, Valentin. 2023. Die Rolle der Position der Fragestellung beim Textverstehen von mathematischen Modellierungsaufgaben. Zwei empirische Studien mit Befragung und Eye-Tracking-Technologie Dissertationsschrift, Universität Münster. Münster.
  • Krawitz, J.; Schukajlow, S.; Wiehe, K.; Rakoczy, K. 2023. ‘Experiences of competence and autonomy during a teaching intervention on mathematical modelling.’ In Proceedings of the 13th Congress of the European Society for Research in Mathematics Education (CERME 13), edited by P. Drijvers, C. Csapodi, H. Palmér, K. Gosztonyi, E. Kónya, 1458–1465. Budapest: Alfréd Rényi Institute of Mathematics and ERME.
  • Hartmann, Luisa-Marie; Krawitz, Janina; Schukajlow, Stanisław. 2023. ‘Posing and Solving Modelling Problems—Extending the Modelling Process from a Problem Posing Perspective.’ Journal für Mathematik-Didaktik 44. doi: https://doi.org/10.1007/s13138-023-00223-3.

  2022

  • Mense, Sophie; Höveler, Karina. 2022 Kombi - Anleitung für die Arbeit mit der App .
  • Frischemeier, Daniel. 2022. ‘Design ideas on primary teacher education for teaching statistics - Exploratory insights from Germany.’ In Formacion del profesorado para enseñar estadística: retos y oportunidades, edited by Salcedo, Audy; Díaz-Levicoy, Danilo, 165–187. Universidad Católica del Maule: Centro de Investigación en Educación Matemática y Estadística.
  • Frischemeier, Daniel; Gonzalez, Orlando; Leavy, Aisling; Primi, Caterina; Kazak, Sibel. 2022. ‘Introduction to the work of TWG5: Probability and Statistics Education.’ In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education, edited by Hodgen, J.; Geraniou, E.; Bolondi, G.; Ferretti, F., 775–778. N/A: Selbstverlag / Eigenverlag.
  • Andre, Martin; Frischemeier, Daniel; Schneider, Christoph. 2022. ‘Covariational reasoning in primary school: A qualitative approach.’ In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education, edited by Hodgen, J.; Geraniou, E.; Bolondi, G.; Ferretti, F., 787–788. N/A: Selbstverlag / Eigenverlag.
  • Martignon L, Frischemeier D, McDowell M, Till C. 2022. ‘Dynamic, interactive trees and icon arrays for visualizing risks in civic statistics.’ In Teaching Statistics for Empowerment and Social Engagement: Resources for teaching civic statistics to develop informed citizens, edited by Ridgway J, 477–501. Düsseldorf: Springer VDI Verlag.
  • Podworny S, Frischemeier D, Biehler R. 2022. ‘Implementing Civic Statistics activities in teacher education.’ In Teaching Statistics for Empowerment and Social Engagement: Resources for teaching civic statistics to develop informed citizens, edited by Ridgway J, 369–394. Düsseldorf: Springer VDI Verlag.
  • Frischemeier D, Podworny S, Biehler R. 2022. ‘Data visualization packages for civic statistics in high school classrooms.’ In Teaching Statistics for Empowerment and Social Engagement: Resources for teaching civic statistics to develop informed citizens, edited by Ridgway J, 199–236. Düsseldorf: Springer VDI Verlag.
  • Frischemeier, Daniel. 2022. ‘Introducing Grade 3 Students to Digital Data Exploration.’ Mathematics Teacher: Learning and Teaching PK-12 115, Nr. 6: 413–421. doi: 10.5951/MTLT.2021.0264.
  • ‘Research on Data Science Education’, edited by Biehler, Rolf; deVeaux, Richard; Engel, Joachim; Kazak, Sibel; Frischemeier, Daniel 2022. Statistics Education Research Journal 21.
  • Biehler, Rolf; deVeaux, Richard; Engel, Joachim; Kazak, Sibel; Frischemeier, Daniel. 2022. ‘Editorial: Research on Data Science Education.’ Statistics Education Research Journal 21, Nr. 2: 1–4. doi: https://doi.org/10.52041/serj.v21i2.606.
  • Frischemeier, Daniel; Maske-Loock, Melanie; Müller-Späth, Joscha. 2022. „Einsatz von Erklärvideos im Mathematikunterricht der Grundschule - Ein möglicher Zugang mit digitalen Pinnwänden.“ In Digitales Lernen in der Grundschule III - Fachdidaktiken in der Diskussion, herausgegeben von Brandt, Birgit; Bröll, Leena; Dausend, Henriette, 154–169. Münster: Waxmann.
  • Frischemeier, Daniel; Kazak, Sibel; Leavy, Aisling M; Meletiou-Mavrotheris, M; Paparistodemou, Efi. 2022. ‘International Perspectives on Early Statistical Thinking: Comparison of Primary School Curricula in Different Countries.’ In Bridging the Gap: Empowering and Educating Today’s Learners in Statistics, edited by Peters, S; Zapata-Cardona, L; Bonafini, F; Fan, A, 1–6. Den Haag: International Statistical Institute. doi: 10.52041/iase.icots11.T2E1.
  • Prömmel, A; Frischemeier, D. 2022. ‘A Collaborative Project of the Subjects Geography and Computer Science: Implementing Statistical Investigations With Gapminder in Secondary Schools.’ In Bridging the Gap: Empowering and Educating Today’s Learners in Statistics, edited by Peters, S; Zapata-Cardona, L; Bonafini, F; Fan, A, 1–4. Den Haag: International Statistical Institute. doi: 10.52041/iase.icots11.T1B2.
  • Leavy A, Frischemeier D. 2022. ‘Developing the statistical problem posing and problem refining skills of prospective teachers.’ Statistics Education Research Journal 21, Nr. 1: 1–27. doi: 10.52041/serj.v21i1.226.
  • Frischemeier D, Korten L, Wollenweber T, Nührenbörger M, Wember F, Selter C. 2022. „Das Fortbildungskonzept des Projekts GLUE - Gemeinsame LernUmgebungen Entwickeln.“ In Qualifizierung für Inklusion Grundschule, herausgegeben von Buchhaupt F, Becker J, Katzenbach D, Lutz D, Strecker A, Urban M, 115–134. Münster: Waxmann.
  • Höper L, Podworny S, Schulte C, Frischemeier D. 2022. ‘Exploration of Location Data: Real Data in the Context of Interaction with a Cellular Network.’ Contributed to the IASE 2021 Satellite Conference: Statistics Education in the Era of Data Science, Online. doi: 10.52041/iase.nkppy.
  • Andre M, Frischemeier D, Schneider C. 2022. ‘Enhancing data literacy at an early stage: Primary school pupils’ precursor ideas of covariation.’ Contributed to the IASE 2021 Satellite Conference: Statistics Education in the Era of Data Science, Online. doi: 10.52041/iase.kjrrp.
  • Tilke Franziska, Höveler Karina, Buddenberg Heike. 2022. „Schulung der professionellen Wahrnehmung durch den Einsatz von Unterrichtsvideos zum inklusiven Mathematikunterricht.“ In Diversität Digital Denken – The Wider View. Tagungsband, herausgegeben von Jungwirth Martin, Harsch Nina, Noltensmeier Yvonne, Stein Martin, Willenberg Nicola, 319–328. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959871785.0.30.
  • Korten, L. 2022. ‘MS-Math – A design research project to support university student’s fostering-competencies and primary school student’s learning with the focus on perceiving, understanding and using patterns & structures in mathematics (project presentation).’ Contributed to the Proceedings of the 12th Congress of the European Society for Research in Mathematics Education (CERME12) (peer reviewed), Bozen-Bolzano, Italy: DCU Institute of Education and ERME.
  • Mense, Sophie; Höveler, Karina. 2022. „Digitale Differenzierung kombinatorischer Aufgabenstellungen.“ In Digitale Medien und Heterogenität. Chancen und Herausforderungen für die Mathematikdidaktik, herausgegeben von Bonow, Jacqueline; Dexel, Timo; Rink, Roland; Schreiber, Christof; Walter, Daniel, 149–164. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959872362.0.11.
  • Tittel, Sophie; Höveler, Karina; Tilke, Franziska. 2022. ‘Developing digital scaffolding modules to support oral description skills – Results of a teacher survey.’ In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12, February 2 – 5, 2022), edited by Bolondi, Giorgio; Hodgen, Jeremy; Winsløw Carl, 1–8. N/A: Selbstverlag / Eigenverlag.
  • Barzel, Bärbel; Gasteiger, Hedwig; Greefrath, Gilbert; Maritzen, Norbert; Nührenbörger, Marcus; Stanat, Petra. 2022. ‘Weiterentwicklung der Bildungsstandards im Fach Mathematik für den Primarbereich und die Sekundarstufe I.’ Mitteilungen der Deutschen Mathematiker-Vereinigung 30, Nr. 3: 208–211. doi: 10.1515/dmvm-2022-0066.
  • Oldenburg, Reinhard; Greefrath, Gilbert; Siller, Hans-Stefan; Ulm, Volker; Weigand, Hans-Georg. 2022. ‘Basic Mental Models of Derivative and Integral: First Hypothesis.’ In Proceedings of the Twelfth Congress of the European Research Society in Mathematics Education (CERME12), edited by Hodgen, Jeremy; Geraniou, Eirini; Bolondi, Giorgio; Ferretti, Federica, 1–2. N/A: Selbstverlag / Eigenverlag.
  • Greefrath, Gilbert; Borromeo Ferri, Rita; Siller, Hans-Stefan. 2022. ‘Professional content knowledge of mathematical modelling of preservice teachers: First considerations for a new test instrument.’ In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education, edited by Hodgen, Jeremy; Geraniou, Eirini; Bolondi, Giorgio; Ferretti, Federica, 1–8. N/A: Selbstverlag / Eigenverlag.
  • Kirsten, Katharina. 2022. ‘Procedures in proof construction: five proving strategies of first-year university students.’ Contributed to the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano.
  • Greefrath, Gilbert; Wess, Raphael. 2022. ‘Mathematical Modeling in Teacher Education — Developing Professional Competence of Pre-Service Teachers in a Teaching–Learning Lab.’ Proceedings of the Singapore National Academy of Science 16, Nr. 1: 25–39. doi: 10.1142/S2591722622400038.
  • Wirth, Laura. 2022. Lernstrategien von Studierenden und Nutzung eines Inverted Classroom-basierten Übungsbetriebs. Eine Untersuchung der Veranstaltung „Analysis für Informatiker“. Münster: Verlag für wissenschaftliche Texte und Medien. doi: https://doi.org/10.37626/GA9783959872447.0.
  • Surel, Anna. 2022. ‘Written engagement with modelling task situations as a strategy to enhance the comprehension process.’ In Proceedings of the Twelfth Congress of European Research in Mathematics Education (CERME12), edited by J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, 1–2. N/A: Selbstverlag / Eigenverlag.
  • Ay, Ilja. 2022. ‘Social (in)equality through mathematical modelling? - Results of a case study.’ Contributed to the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bolzano.
  • Gerber, S.; Quarder, J.; Greefrath, G.; Siller, H.-S. 2022. ‘Pre-service teachers’ pedagogical content knowledge for teaching simulations and mathematical modelling with digital tools.’ In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME 12), edited by Hodgen, J.; Geraniou, E.; Bolondi, G.; Ferretti, F., 1051–1058. N/A: Selbstverlag / Eigenverlag.
  • Barquero, B., Ärlebäck, J. B., Carreira, S., Greefrath, G., Jessen, B. E., Vorhölter, K. 2022. ‘Introduction to the papers of TWG6: Applications and modelling.’ In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education, edited by Hodgen, J.; Geraniou, E.; Bolondi, G.; Ferretti, F., 1–8. N/A: Selbstverlag / Eigenverlag.
  • Kirsten, K.; Greefrath, G. 2022. ‘On-campus vs distance learning in university preparatory courses: Which factors influence students’ course decision?’ In INDRUM2022 proceedings, edited by Trigueros, M.; Barquero, B.; Hochmuth, R.; Peters, J., 80–89. Hannover, Germany: University of Hannover and INDRUM.
  • Wirth, Laura; Greefrath, Gilbert. 2022. ‘Working with a heuristic worked example video: Upper secondary students' perceived advantages and challenges.’ In MEDA3 Mathematics Education in Digital Age 3. Proceedings of the 13th ERME Topic Conference (ETC13), edited by Weigand, Hans-Georg.; Donevska-Todorova, Ana; Faggiano, Eleonora; Iannone, Paola; Medová, Janka ; Tabach, Michal; Turgut, Melih, 296–303. Nitra: Constantine the Philosopher University in Nitra.
  • Kämmerer, M. 2022. ‘Comparison of the working on modelling tasks when students have or do not have personal interest in the real-world context of the task.’ In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by Hodgen, J.; Geraniou, E.; Bolondi, G.; Ferretti, F., 1099–1100. N/A: Selbstverlag / Eigenverlag.
  • Kürten, R.; Quarder, J.; Wess R.; Greefrath, G. 2022. „DistancE-Learning an außerschulischen Lernorten: Wahrnehmung digitaler Lehr-Lern-Labore durch Studierende.“ In Diversität Digital Denken – The Wider View. Eine Tagung des Zentrums für Lehrerbildung der Westfälischen Wilhelms-Universität Münster vom 08. bis 10.09.2021, herausgegeben von Harsch, N.; Jungwirth M.; Stein, M.; Noltensmeier Y.; Wellenberg N., 409–412. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959871785.0.43.
  • Ostkirchen F, Greefrath G. 2022. ‘Case Study on Students’ Mathematical Modelling Processes considering the Achievement Level.’ Modelling in Science Education and Learning 15, Nr. 1: 137–150. doi: 10.4995/msel.2022.16506.
  • Ay I, Tobschall J. 2022. „Die Riesenpizza – Produktiv üben und natürlich differenzieren am Kreis (ab Jahrgangsstufe 8).“ In Modellieren im Mathematikunterricht. Fachdidaktische Erkenntnisse und Handlungsempfehlungen für die Sekundarstufe I und II, herausgegeben von Schürmann U, Greefrath G, 89–109. Bielefeld: wbv Publikation. doi: 10.3278/6004907w.
  • Greefrath G. 2022. „Diagnose von Teilkompetenzen des Modellierens.“ In Modellieren im Mathematikunterricht. Fachdidaktische Erkenntnisse und Handlungsempfehlungen für die Sekundarstufe I und II, herausgegeben von Schürmann U, Greefrath G, 127–136. Bielefeld: wbv Publikation. doi: 10.3278/6004907w.
  • Schürmann U, Greefrath G (Hrsg.): 2022. Modellieren im Mathematikunterricht. Fachdidaktische Erkenntnisse und Handlungsempfehlungen für die Sekundarstufe I und II. Bielefeld: wbv Publikation. doi: 10.3278/6004907w.
  • Wirth L, Greefrath G. 2022. ‘Examining heuristic worked example videos in a collaborative setting: The conception of the project MoVie.’ In Proceedings of the 15th International Conference on Technology in Mathematics Teaching (ICTMT 15), edited by U.T. Jankvist, R. Elicer, A. Clark-Wilson, H.-G. Weigand, M. Thomsen, 250–251. Aarhus: Aarhus Universitetsforlag. doi: 10.7146/aul.452.
  • Gerber, S.; Quarder, J. 2022 Erfassung von Aspekten professioneller Kompetenz zum Lehren des Simulierens und mathematischen Modellierens mit digitalen Werkzeugen. Ein Testinstrument OPUS Würzburg. doi: https://doi.org/10.25972/OPUS-27359.
  • Greefrath, Gilbert; Siller, Hans-Stefan; Vorhölter, Katrin; Kaiser, Gabriele. 2022. ‘Mathematical modelling and discrete mathematics: opportunities for modern mathematics teaching.’ ZDM - Mathematics Education 54, Nr. 4: 865–879. doi: 10.1007/s11858-022-01339-5.
  • Alwast, Alina; Greefrath, Gilbert; Siller, Hans-Stefan; Vorhölter, Katrin. 2022. „Professionelle Kompetenzen von angehenden Lehrpersonen zum Lehren mathematischen Modellierens – Konzeptionen und Instrumente.“ In Initiationen mathematikdidaktischer Forschung, herausgegeben von Buchholtz, N.; Schwarz, B.; Vorhölter, K., 155–171. Heidelberg: Springer. doi: 10.1007/978-3-658-36766-4_8.
  • Krause, Maurice. 2022. „Schülereigene oder gestellte Geräte? Eine Analyse der Auswirkungen auf die Kompetenzentwicklung.“ In Digitales Lernen in Distanz und Präsenz: Herbsttagung 2021 des Arbeitskreises Mathematikunterricht und digitale Werkzeuge in der Gesellschaft für Didaktik der Mathematik am 24.09.2021, herausgegeben von Reinhold, Frank; Schacht, Florian, 77–79. Essen: DuEPublico. doi: 10.17185/duepublico/76035.
  • Sandefur, James; Lockwood, Elise; Hart, Eric; Greefrath, Gilbert. 2022. ‘Teaching and learning discrete mathematics.’ ZDM - Mathematics Education 54, Nr. 4: 753–775. doi: 10.1007/s11858-022-01399-7.
  • Greefrath, Gilbert; Siller, Hans-Stefan. 2022. „Mathematische Modelle und Digitalisierung – Forschungsstand, Chancen und Beispiele.“ In Digitales Lehren und Lernen von Mathematik in der Schule: Aktuelle Forschungsbefunde im Überblick, herausgegeben von Pinkernell G, Reinhold F, Schacht F, Walter D, 325–346. Heidelberg: Springer. doi: 10.1007/978-3-662-65281-7_14.
  • Siller, Hans-Stefan; Cevicbas, Mustafa; Geiger, Vince; Greefrath, Gilbert. 2022. ‘The role of digital resources in mathematical modelling research.’ In Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education, edited by Fernández, C.; Llinares, S.; Gutiérrez, A.; Planas, N., 152–155. Internet: PME.
  • Brnic, M.; Greefrath, G. 2022. ‘Distance learning versus face-to-face classroom learning: student achievement in conditional probability when using a digital textbook with integrated digital tools.’ In Proceeding of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME 12), edited by Hodgen, J.; Geraniou, E.; Bolondi, G.; Ferretti, F., 1–8. N/A: Selbstverlag / Eigenverlag.
  • Krause, Maurice; Greefrath, Gilbert; Denz, Cornelia; Heinicke, Susanne; Heusler, Stefan; Janzik, Robin; Kramp, Bianca; Kremer, Fabienne E.; Laumann, Daniel; Leibrock, Barbara; Marohn, Annette; Masemann, Dörthe; Quandt, Thorsten; Reer, Felix; Souvignier, Elmar; Ubben, Malte. 2022. ‘BYOD vs pool: Effects on competence development and cognitive load.’ In Proceedings of the Twelfth Congress of the European Research Society in Mathematics Education (CERME12), edited by Hodgen, Jeremy; Geraniou, Eirini; Bolondi, Giorgio; Ferretti, Federica, 2783–2790. N/A: Selbstverlag / Eigenverlag.
  • Wirth, Laura. 2022. ‘Developing a framework for creating heuristic worked example videos to enhance students' modeling competencies.’ In Proceedings of the Twelfth Congress of European Research in Mathematics Education (CERME12), edited by J. Hodgen, E. Geraniou, G. Bolondi, F. Ferretti, 1–8. N/A: Selbstverlag / Eigenverlag.
  • Greefrath G, Siller HS, Klock H, Wess R. 2022. ‘Pre-service secondary teachers’ pedagogical content knowledge for the teaching of mathematical modelling.’ Educational Studies in Mathematics 109, Nr. 2: 383–407. doi: 10.1007/s10649-021-10038-z.
  • Best, Alexander; Brämer, Martin; Frederking, Volker; Geldreich, Katharina; Goetz, Ilka; Herper, Henry; Humbert, Ludger; Kortenkamp, Ulrich; Krauthausen, Günter; Ladel, Silke; Schulte, Carsten. 2022. „Informatische Bildung in der Grundschule und Zentren für Digitale Bildung (Positionspapier).“ LOG IN - Informatische Bildung und Computer in der Schule 197/198: 30–34.
  • Thomas, Marco; Best, Alexander. 2022. „Informatische Bildung in der Grundschulmathematik – Erkenntnisse aus der ersten Phase der Lehrerbildung.“ LOG IN - Informatische Bildung und Computer in der Schule 197/198: 20–25.
  • Thomas, Marco; Weigend, Michael (Hrsg.): 2022. 10. Münsteraner Workshop zur Schulinformatik. Inklusion mit Informatik. 2. Aufl. N/A: Selbstverlag / Eigenverlag.
  • Schreiber, N., Best, A., Windt, A., Thomas, M. 2022. „Forschendes Lernen zur informatischen Bildung im Sachunterricht: Evaluation eines Forschungsseminars für Sachunterrichtsstudierende und Sachunterrichtslehrkräfte am Beispiel des Inhaltsbereichs „Sprachen und Automaten“.“ Herausforderung Lehrer*innenbildung (HLZ) 5, Nr. 1: 317–336. doi: 10.11576/hlz-4887.
  • Brinkmann, Astrid. 2022. ‘Verhältnisgleichung – Vernetzung durch vielfältige Repräsentationen.’ In Mathe vernetzt – Anregungen und Materialien für einen vernetzenden Mathematikunterricht, edited by Thomas Borys, Matthias Brandl, Astrid Brinkmann, 91–95. 1. Aufl. Münster: MUED-Bücherbunt.
  • Brinkmann, Astrid; Ruhmke, Janet; Vennemann, Kirsten; Tittel, Janik. 2022. ‘Nachhaltige Energieversorgung – Planung eines Solar-Wind-Hybridsystems.’ In Mathe vernetzt – Anregungen und Materialien für einen vernetzenden Mathematikunterricht, edited by Thomas Borys, Matthias Brandl, Astrid Brinkmann, 105–118. 1. Aufl. Münster: MUED-Bücherbunt.
  • Brinkmann, Astrid. 2022. ‘Die algebraische Struktur A = B / C als vernetzendes mathematisches Objekt mit vielfältigen Interpretationen.’ In Mathe vernetzt – Anregungen und Materialien für einen vernetzenden Mathematikunterricht, edited by Thomas Borys, Matthias Brandl, Astrid Brinkmann, 46–51. 1. Aufl. Münster: MUED-Bücherbunt.
  • Brinkmann, Astrid. 2022. ‘Solar-Wind-Hybridsysteme als Sachkontext zur Förderung von Modellierungskompetenzen und vernetztem Denken.’ In Mathe vernetzt – Anregungen und Materialien für einen vernetzenden Mathematikunterricht, edited by Thomas Borys, Matthias Brandl, Astrid Brinkmann, 66–77. 1. Aufl. Münster: MUED-Bücherbunt.
  • Brinkmann, Astrid. 2022. ‘Das Konzept der Verhältnisgleichung – Vernetzungen durch vielfältige Repräsentationen und Interpretationen.’ In Mathe vernetzt – Anregungen und Materialien für einen vernetzenden Mathematikunterricht, edited by Thomas Borys, Matthias Brandl, Astrid Brinkmann, 38–45. 1. Aufl. Münster: MUED-Bücherbunt.
  • Borys, Thomas; Brandl, Matthias; Brinkmann, Astrid (Eds.): 2022. Mathe vernetzt – Anregungen und Materialien für einen vernetzenden Mathematikunterricht, Band 7. 1. Aufl. Münster: MUED-Bücherbunt.
  • Hartmann, L.-M.; Krawitz, J.; Schukajlow, S. 2022. ‘Modelling while problem posing - A case study of preservice teachers.’ In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), edited by Hodgen, J.; Geraniou, E.; Bolondi, G.; Ferretti, F., 1075–1083. N/A: Selbstverlag / Eigenverlag.
  • Böswald, V.; Schukajlow, S. 2022. ‘I value the problem, but I don't think my students will: Preservice teachers' judgments of value and self-efficacy for modelling, word, and intramathematical problems.’ ZDM - Mathematics Education 2022.
  • Liebendörfer, M.; Kempen, L.; Schukajlow, S. 2022. ‘First-year university students' self-regulated learning during the COVID-19 pandemic: a qualitative longitudinal study.’ ZDM - Mathematics Education 2022.
  • Brand, S.; Schukajlow, S.; Leopold, C. 2022. ‘Effekte der Aufforderung zum Erstellen einer Visualisierung auf die Skizzenqualität und Modellierungsleistung: eine Replikationsstudie.’ In Initiationen mathematikdidaktischer Forschung: Festschrift zum 70. Geburtstag von Gabriele Kaiser, edited by N. Buchholtz; B. Schwarz; K. Vorhölter (Eds.), 75–91. Wiesbaden: Springer Fachmedien Wiesbaden.
  • Kanefke, J.; Schukajlow, S. 2022. ‘Students' processing of modelling problems with missing data.’ In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)., edited by J. Hodgen; E. Geraniou; G. Bolondi; F. Ferretti, 1101–1108. N/A: Selbstverlag / Eigenverlag.
  • Rellensmann, J.; Schukajlow, S.;Leopold, C. 2022. ‘Drawing instructions, strategic knowledge, strategy-based motivation, and students' use of drawings.’ In Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education, edited by C. Fernandez; S. Llinares; A. Gutierrez; N. Planas, 347–354. Internet: PME.
  • Schukajlow, S.; Krawitz, J.; Kanefke, J.; Rakoczy, K. 2022. ‘Interest and performance in solving open modelling problems and closed real-world problems.’ In Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education, edited by C. Fernandez; S. Llinares; A. Gutierrez; N. Planas, 403–410. Internet: PME.
  • Schukajlow, S.; Rellensmann, J. 2022. ‘Strategy-based motivation to use the drawing strategy. The relationships between self-efficacy, value, cost, and gender.’ In Proceedings of the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12)., edited by J. Hodgen; E. Geraniou; G. Bolondi; F. Ferretti, 1426–1433. N/A: Selbstverlag / Eigenverlag.
  • Krawitz, J.; Schukajlow, S. 2022. ‘Eine Aufgabe viele Lösungen: Natürlich differenzieren mit Modellierungsaufgaben.’ Mathematik lehren 233: 28–32.
  • Krawitz, J., Chang, Y.-P., Yang, K.-L., Schukajlow, S. (2022). 2022. ‘The role of reading comprehension in mathematical modelling: Improving the construction of a real model and interest in Germany and Taiwan.’ Educational Studies in Mathematics 109: 337–359.
  • Cevikbas, M., Kaiser, G., Schukajlow, S. 2022. ‘A systematic literature review of the current discussion on mathematical modelling competencies: State-of-the-art developments in conceptualizing, measuring, and fostering.’ Educational Studies in Mathematics 109: 205–236.
  • Rellensmann, J., Schukajlow, S., Blomberg, J., Leopold, C. 2022. ‘Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy.’ Cognition and Instruction 2022.
  • Böswald, Valentin; Schukajlow, Stanislaw. 2022. ‘I value the problem, but I don’t think my students will: preservice teachers’ judgments of task value and self-efficacy for modelling, word, and intramathematical problems.’ ZDM - Mathematics Education 2022. doi: 10.1007/s11858-022-01412-z.
  • Krawitz, J; Schukajlow, S. 2022. ‘Eine Aufgabe viele Lösungen - Natürlich differenzieren mit Modellierungsaufgaben.’ Mathematik lehren 233: 28–32.
  • Krawitz, J; Schukajlow, S; Kanefke, J; Rakoczy, K. 2022. ‘Making realistic assumption in mathematical modelling.’ In Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education, edited by Fernandez, Llinares et al., 59–66. Internet: PME.
  • Hartmann, Luisa-Marie; Krawitz, Janina; Schukajlow, Stanislaw. 2022. ‘The process of modelling-related problem posing - a case study with preservice teachers.’ In Proceedings of the 45th Conference of the International Group for the Psychology of Mathematics Education, edited by Fernandez, C.; Llinares, S.; Gutierrez, A.; Planas, N., 355–362. Internet: PME.
  • Wiehe, K.; Salle, A.; Frohn, D. 2022. „MatheWelt. Das Schülerarbeitsheft. Regression - Korrelation - Prognose.“ Mathematik lehren 234.
  • Rellensmann J, Schukajlow S, Blomberg J, Leopold C. 2022. ‘Effects of drawing instructions and strategic knowledge on mathematical modeling performance: Mediated by the use of the drawing strategy.’ Applied Cognitive Psychology acp.3930. doi: 10.1002/acp.3930.
  • Frenken, Lena; Greefrath, Gilbert; Siller, Hans-Stefan; Wörler, Jan-Franz. 2022. „Analyseinstrumente zum mathematischen Modellieren mit digitalen Medien und Werkzeugen.“ mathematica didactica 45. doi: 10.18716/ojs/md/2022.1391.
  • Frenken, Lena. 2022. Mathematisches Modellieren in einer digitalen Lernumgebung. Konzeption und Evaluation auf der Basis computergenerierter Prozessdaten. Wiesbaden: Springer Fachmedien Wiesbaden. doi: 10.1007/978-3-658-37330-6.
  • Frenken, Lena; Greefrath, Gilbert. 2022. ‘Leistungsheterogenität in einer digitalen Lernumgebung zum Modellieren.’ In Digitales Lernen in Distanz und Präsenz: Herbsttagung 2021 des Arbeitskreises Mathematikunterricht und digitale Werkzeuge in der Gesellschaft für Didaktik der Mathematik am 24.09.2021, edited by Reinhold, Frank; Schacht, Florian, 41–48. Essen: DuEPublico. doi: 10.17185/duepublico/76030.
  • Frenken, Lena. 2022. ‘Discovering the possibilities of a computer-based learning environment for mathematical modelling.’ In Proceedings of the 15th International Conference on Technology in Mathematics Teaching (ICTMT 15), edited by Jankvist, Uffe Thomas; Elicer, Raimundo; Clark-Wilson, Alison; Weigand, Hans-Georg; Thomsen, Marianne, 53–54. Aarhus: Aarhus Universitetsforlag. doi: 10.7146/aul.452.
  • Frenken, Lena; Greefrath, Gilbert. 2022. ‘Successful Modeling Processes in a Computer-Based Learning Environment.’ In Proceedings of the 15th International Conference on Technology in Mathematics Teaching (ICTMT 15), edited by Jankvist, Uffe Thomas; Elicer, Raimundo; Clark-Wilson, Alison; Weigand, Hans-Georg; Thomsen, Marianne, 282–289. Aarhus: Aarhus Universitetsforlag. doi: 10.7146/aul.452.
  • Böer, H.; Brnic, M. (Hrsg.): 2022. Net-Mathebuch. Das digitale Mathematikschulbuch für die gymnasiale Oberstufe – Neue Konzepte erkunden und einsetzen. Münster: MUED-Bücherbunt.
  • Brnic, M.; Greefrath, G. 2022. ‘Teacher’s recommendations for distance learning compared to student’s actual use of digital textbooks and other (digital) resources.’ In Proceedings of the 13th ERME Topic Conference (ETC13), edited by Weigand, H.-G.; Donevska-Todorova, A.; Faggiano, E.; Iannone, P.; Medová, J.; Tabach, M.; Turgut, M., 72–75. Nitra: Constantine the Philosopher University in Nitra.
  • Böswald, Valentin; Schukajlow, Stanislaw. 2022. ‘Reading comprehension and modelling problems: Does it matter where the question is placed?’ Contributed to the Twelfth Congress of the European Society for Research in Mathematics Education (CERME12), Bozen-Bolzano.
  • Brnic, M., Greefrath, G. 2022. ‘Does the gender matter? The use of a digital textbook compared to printed materials.’ In Proceedings of the 15th international conference on technology in mathematics teaching (ICTMT 15), edited by U.T. Jankvist, R. Elicer, A. Clark-Wilson, H.-G. Weigand, M. Thomsen, 128–136. Aarhus University: Danish School of Education. doi: 10.7146/aul.452.

  2021

  • Frischemeier D, Podworny S, Biehler R. 2021. „Integration fachwissenschaftlicher und fachdidaktischer Komponenten in Form von Schnittstellenaktivitäten in der Lehramtsausbildung Mathematik Primarstufe am Beispiel einer Veranstaltung zur Leitidee „Daten, Häufigkeit und Wahrscheinlichkeit“ mit Unterstützung durch digitale Werkzeuge.“ In Lehrinnovationen in der Hochschulmathematik, herausgegeben von Biehler R, Eichler A, Hochmuth R, Rach S, Schaper N, 227–250. Heidelberg: Springer Spektrum.
  • Frischemeier D, Schnell S. 2021. ‘Statistical investigations in primary school – The role of contextual expectations for data analysis.’ Mathematics Education Research Journal 35: 217–242. doi: 10.1007/s13394-021-00396-5.
  • Frischemeier D, Biehler R, Podworny S, Budde L. 2021. ‘A first introduction to Data Science Education in secondary schools: Teaching and learning about data exploration with CODAP using survey data.’ Teaching Statistics 43, Nr. S1: 182–189.
  • de Oliveira Souza, Leandro; Porciuncula, Mauren; Zapata-Cardona, Lucia; Salcedo, Audy; Borovcnik, Manfred; Frischemeier, Daniel. 2021. ‘A pesquisa em educação estatística a partir da perspectiva latino-americana.’ Statistics Education Research Journal 20, Nr. 2: 1–4.
  • ‘Statistics Education Research from a Latin American Perspective’, edited by de Oliveira Souza, Leandro; Porciuncula, Mauren; Zapata-Cardona, Lucia; Salcedo, Audy; Borovcnik, Manfred; Frischemeier, Daniel 2021. Statistics Education Research Journal 20. doi: https://doi.org/10.52041/serj.v20i2.
  • Schnell S, Frischemeier D. 2021. „Empirische Rekonstruktionen zu informellen Vorstellungen vom Median bei Grundschüler:innen.“ In Beiträge zum Mathematikunterricht 2021, herausgegeben von Hein K, Heil C, Ruwisch S, Prediger S, 295–298. Münster: Verlag für wissenschaftliche Texte und Medien.
  • Schwob Simeon, Gudladt Paul. 2021. ‘Successful Communication as a Part of Teaching and Learning Mathematics in Remote Settings.’ In ICTMT 15 Book of accepted contributions - Making and Strengthening “Connections and Connectivity" (C&C) for Teaching Mathematics with Technology, edited by Jankvist U T, Thomsen M, Coopmann R J E, 228–235. Aarhus: Aarhus Universitetsforlag.
  • Schwob Simeon. 2021. „Der Diakonat als Lebensweg.“ DIA-positiv Sonderheft 50 Jahre Ständiger Diakonat im Bistum Aachen: 61–63.
  • Schwob Simeon, Schwob Andrea. 2021. ‘Participation in Mathematics Classrooms: A Qualitative Exploratory Interview-Study in a comparison between the USA and Germany.’ In Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1), edited by Inprasitha M, Changsri N, Boonsena N, 226. N/A: Selbstverlag / Eigenverlag.
  • Schwob Simeon, Gudladt Paul. 2021. ‘Mathematical Communication in Remote Learning.’ In Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education (Vol. 1), edited by Inprasitha M, Changsri N, Boonsena N, 225. N/A: Selbstverlag / Eigenverlag.
  • Frischemeier D, Walter D. 2021. „Daten! Analog und digital? Lernchancen und Grenzen analoger und digitaler Medien.“ Fördermagazin Grundschule 4: 8–12.
  • Frischemeier D, Walter D. 2021. „Daten für Kinder - Anregungen für das Sammeln, Darstellen und Interpretieren.“ Fördermagazin Grundschule 4: 30–36.
  • de Oliveira Souza L, Porciuncula M, Zapata-Cardona L, Salcedo A, Borovcnik M, Frischemeier D. 2021. ‘Statistics Education Research from a Latin American Perspective.’ Statistics Education Research Journal 20, Nr. 2: 1–4. doi: 10.52041/serj.v20i.428.
  • Podworny S, Fleischer Y, Hüsing S, Biehler R, Frischemeier D, Höper L, Schulte C. 2021. ‘Using data cards for teaching data based decision trees in middle school.’ Contributed to the 21st Koli Calling International Conference on Computing Education Research (Koli Calling '21), Joensuu, Finland.
  • Höper L, Podworny S, Hüsing S, Schulte C, Fleischer Y, Biehler R, Frischemeier D, Malatyali H. 2021. „Zur neuen Bedeutung von Daten in Data Science und künstlicher Intelligenz.“ In Informatik – Bildung von Lehrkräften in allen Phasen, herausgegeben von Humbert L. Bonn: Gesellschaft für Informatik.
  • Frischemeier D. 2021. ‘Reading and interpreting distributions of numerical data in primary school.’ Contributed to the 14th International Congress on Mathematics Education (ICME 14), Shanghai, China.
  • Höveler Karina, Tilke Franziska, Tittel Sophie. 2021. „Was passiert, wenn...? Kombinatorische Problemstellungen variieren.“ Mathematik differenziert: Zeitschrift für die Grundschule 2021, Nr. 4: 38–46.
  • Tittel Sophie, Höveler Karina. 2021. „Förderung von Beschreibungskompetenzen – Gestaltung digitaler Sprachförderbausteine in der Tablet-App Book Creator.“ In Mathematik, Sprache und Medien, herausgegeben von Schreiber Christof, Klose Rebecca, 143–164. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959871969.0.08.
  • Eikmeyer, Dirk. 2021. Untersuchungen zur Wirksamkeit des Praxissemesters auf die berufsbezogenen Überzeugungen von Lehramtsstudierenden im Fach Mathematik (G) Dissertationsschrift, Universität Münster. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959870948.0.
  • Dexel, Timo Witte, Alena. 2021. „Mathematische Problemaufgaben ohne Sprachbarriere. Problemlösen für alle Schüler*innen.“ Die Materialwerkstatt 3, Nr. 1: 55–61.
  • Witte, Alena. „Studies on the self-regulatory competences of goal setting and goal pursuit in problem solving of mathematically potentially gifted children.“ contributed to the 17th International ECHA Virtual Conference, Porto, Portugal, 2021.
  • Käpnick, F.; Kaiser, J.; Strübbe, F. Witte, A. 2021. „Ein Erfahrungsbericht zur Entwicklung digitaler Förderformate im Lehr-Lern-Labor Mathe für kleine Asse.“ GDM-Mitteilungen 111: 12–19.
  • Greefrath G, Oldenburg R, Siller HS, Ulm V, Weigand HG. 2021. ‘Basic mental models of integrals: theoretical conception, development of a test instrument, and first results.’ ZDM - Mathematics Education 53, Nr. 3: 649-661. doi: 10.1007/s11858-020-01207-0.
  • Hankeln C, Greefrath G. 2021. „Mathematische Modellierungskompetenz fördern durch Lösungsplan oder Dynamische Geometrie-Software? Empirische Ergebnisse aus dem LIMo-Projekt.“ Journal für Mathematik-Didaktik 42: 367q–394. doi: 10.1007/s13138-020-00178-9.
  • Kirsten K. 2021. „Analyse von studentischen Beweisprozessen. Entwicklung eines Analyseinstruments.“ In Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2016 und 2017. Beiträge zu den gleichnamigen Symposien: am 11. & 12. November 2016 in Münster und am 10. & 11. November 2017 in Göttingen, herausgegeben von Zimmermann M, Paravicini W, Schnieder J, 37–52. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959870962.0.15.
  • Frenken L, Greefrath G, Schnitzler C. 2021. „Entwicklung und Evaluation innovativer E-Items für VERA-8.“ In Beiträge zum Mathematikunterricht 2021, herausgegeben von Hein K, Heil C, Ruwisch S, Prediger S. Münster: WTM. doi: 10.17877/DE290R-22276.
  • Wess R, Klock H, Siller HS, Greefrath G. 2021. Measuring Professional Competence for the Teaching of Mathematical Modelling: A Test Instrument. Basel : Springer International Publishing. doi: 10.1007/978-3-030-78071-5.
  • Greefrath G, Frenken L. 2021. „Fermi problems in standardized assessment in grade 8.“ Quadrante 30, Nr. 1: 52–73. doi: 10.48489/quadrante.23587.
  • Quarder, J. 2021. „Das Thales-Winkel-Experiment.“ Mathematik lehren 224: 51.
  • Quarder, J.; Gerber, S. 2021. „Unsere erste gemeinsame Wohnungssuche. Den Arbeitsweg mit GeoGebra modellieren.“ Digital Unterrichten. Mathematik 2021, Nr. 10: 6–7.
  • Ay I, Mahler N, Greefrath G. 2021. ‘Family Background and Mathematical Modelling - Results of the German National Assessment Study.’ In Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education (Vol. 2), edited by Inprasitha M, Changsri N, Boonsena N, 25–32. N/A: Selbstverlag / Eigenverlag.
  • Brnic, M., Greefrath G. 2021. „Ein digitales Schulbuch im Mathematikunterricht einsetzen.“ Der mathematisch-naturwissenschaftliche Unterricht 74, Nr. 3: 224–231.
  • Hoever G, Greefrath G. 2021. „Vorkenntnisse, Vorkursteilnahme und Studienerfolg – Untersuchungen von Studienanfängerinnen und Studienanfängern der Elektrotechnik und der Informatik an der FH Aachen.“ In Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2016 und 2017. Beiträge zu den gleichnamigen Symposien: am 11. & 12. November 2016 in Münster und am 10. & 11. November 2017 in Göttingen, herausgegeben von Zimmermann M, Paravicini W, Schnieder J, 197–204. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959870962.0.15.
  • Wess R, Klock H, Greefrath G, Siller H. 2021. „Aspekte professioneller Kompetenz zum Lehren mathematischen Modellierens bei (angehenden) Lehrkräften – Theoretische und empirische Fundierung.“ In Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2016 und 2017. Beiträge zu den gleichnamigen Symposien: am 11. & 12. November 2016 in Münster und am 10. & 11. November 2017 in Göttingen, herausgegeben von Zimmermann M, Paravicini W, Schnieder J, 233–247. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959870962.0.18.
  • Kürten R, Wess R, Greefrath G. 2021. „Überzeugungen und Selbstwirksamkeitserwartungen von Studierenden im mathematikdidaktischen Lehr-Labor MiRA+ im Rahmen der Qualitätsoffensive Lehrerbildung.“ In Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2016 und 2017. Beiträge zu den gleichnamigen Symposien: am 11. & 12. November 2016 in Münster und am 10. & 11. November 2017 in Göttingen, herausgegeben von Zimmermann M, Paravicini W, Schnieder J, 205–217. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959870962.0.16.
  • Wess R, Greefrath G. 2021. „Diagnosekompetenzen von angehenden Lehrkräften am außerschulischen Lernort fördern.“ In Orte und Prozesse außerschulischen Lernens erforschen und weiterentwickeln, herausgegeben von Beyer L, Gorr C, Kather C, Komorek M, Röben P, Selle S, 339–348. Münster: LIT Verlag.
  • Zeuch, N.; Souvignier, E.; Kürten, R.; Dutke, S. 2021. „Heterogenitätsbezogene Einstellungen und Selbstwirksamkeit von Lehramtsstudierenden fördern: Das Projekt „Dealing with Diversity“ an der WWU Münster.“ Psychologie in Erziehung und Unterricht 68, Nr. 3: 199–212.
  • Wess R, Klock H, Siller HS, Greefrath G. 2021. ‘Measuring Professional Competence for the Teaching of Mathematical Modelling.’ In Mathematical Modelling Education in East and West, edited by Leung F K S, Stillman G A, Kaiser G, Wong K L, 249–260. Basel : Springer International Publishing. doi: 10.1007/978-3-030-66996-6_21.
  • Greefrath G, Vos P. 2021. ‘Video-based Word Problems or Modelling Projects—Classifying ICT-based Modelling Tasks.’ In Mathematical Modelling Education in East and West, edited by Leung F K S, Stillman G A, Kaiser G, Wong K L, 489–499. Basel : Springer International Publishing. doi: 10.1007/978-3-030-66996-6_41.
  • Barzel B, Greefrath G. 2021. „Metablick auf Abituraufgaben. Mehr als nur alte Abi-Aufgaben rechnen.“ Mathematik lehren 225: 32–35.
  • Greefrath G, Ulm V. 2021. „Integral: Grundvorstellungen dynamisch visualisiert.“ Mathematik lehren 224: 36–40.
  • Greefrath G, Oldenburg R, Siller H S, Ulm V, Weigand H. 2021. Test zur Erfassung von Grundvorstellungen zu Ableitungen und Integralen (GV-AI), Empirische Erfassung von Grundvorstellungen zur ersten Ableitung einer Funktion an einer Stelle und zum bestimmten Integral.
  • Kensuke Akao. 2021. Harmonisierung der Stärken von E-Learning und Präsenzveranstaltungen im Kontext von Lehrerfortbildungen zur Informatik Dissertationsschrift, WWU Münster. N/A: Selbstverlag / Eigenverlag.
  • Thomas Marco. 2021. Eisenbahn im kontextorientierten Informatikunterricht.
  • Wijnker, W., Bakker, A., Schukajlow, S., Drijvers, P. (2021). 2021. ‘Modeling the mechanisms of interest raising videos in education.’ Human Behavior and Emerging Technologies 3, Nr. 5: 1–9.
  • Schulze Elfringhoff, M., Schukajlow, S. (2021). 2021. ‘What makes a modelling problem interesting? Sources of situational interest in modelling problems.’ Quadrante 30, Nr. 1: 8–30.
  • Rellensmann, J., Schukajlow, S., Blomberg, J., Leopold, C. 2021. ‘Does strategic knowledge matter? Effects of strategic knowledge about drawing on students' modelling competencies in the domain of geometry.’ Mathematical Thinking and Learning 2021.
  • Rellensmann, J., Schukajlow, S., Blomberg, J. 2021. „Was ist eine gute Skizze?“ Mathematik lehren 124: 24–26.
  • Schmitz, M., Schukajlow, S. 2021. ‘Pictures in modelling problems. Does numerical information make a difference?’ In Mathematical Modelling Education in East and West, edited by F. K. S. Leung, G. Kaiser, G. Stillman, K. L. Wong, 189–199.
  • Hochmuth, R., Biehler, R., Blum, W., Achmetli, K., Rode, J., Krawitz, J., Schukajlow, S. 2021. „Fachwissen zur Arithmetik bei Grundschullehramtsstudierenden - Entwicklung im ersten Semester und Veränderungen durch eine Lehrinnovation.“ In Lehrinnovationen in der Hochschulmathematik. Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, herausgegeben von R. Biehler, A. Eichler, R. Hochmuth, S. Rach, N. Schaper, 611–644.
  • Hartmann, L.-M., Schukajlow, S. 2021. ‘Interest and emotions while solving real-world problems inside and outside the classroom.’ In Mathematical Modelling Education in East and West, edited by F. K. S. Leung, G. Kaiser, G. Stillman, K. L. Wong, 153–163.
  • Cevikbas, M., Kaiser, G., Schukajlow, S. 2021. ‘A systematic literature review of the current discussion on mathematical modelling competencies: State-of-the-art developments in conceptualizing, measuring, and fostering.’ Educational Studies in Mathematics 109.
  • Bräuer, V., Leiss, D., Schukajlow, S. 2021. „Skizzen zeichnen zu Modellierungsaufgaben - Eine Analyse themenspezifischer Differenzen einer Visualisierungsstrategie beim mathematischen Modellieren.“ Journal für Mathematik-Didaktik 42.
  • Schukajlow, S., Blomberg, J., Rellensmann, J., Leopold, C. 2021. ‘Do emotions and prior performance facilitate the use of the learner-generated drawing strategy? Effects of enjoyment, anxiety, and intramathematical performance on the use of the drawing strategy and modelling performance.’ Contemporary Educational Psychology 65.
  • Schukajlow, S., Kaiser, G., Stillman, G. 2021. ‘Modeling from a cognitive perspective: theoretical considerations and empirical contributions.’ Mathematical Thinking and Learning 47, Nr. 7.
  • Schukajlow, S., Blomberg, J., Rellensmann, J., Leopold, C. 2021. ‘The power of strategy-based motivation in mathematical problem solving: the case of learner-generated drawings.’ Learning and Instruction 79.
  • Hartmann, Luisa-Marie; Schukajlow, Stanislaw. 2021. ‘Interest and emotions while solving real-world problems inside and outside the classroom.’ In Mathematical Modelling Education in East and West, edited by Leung, F. K. S.; Kaiser, G.; Stillman, G.; Wong, K. L., 153–163. Heidelberg: Springer.
  • Krawitz J., Chang Y.-P., Yang K.-L., Schukajlow S. 2021. ‘The role of reading comprehension in mathematical modelling: improving the construction of a real-world model and interest in Germany and Taiwan.’ Educational Studies in Mathematics online first. doi: 10.1007/s10649-021-10058-9.
  • Hartmann L., Krawitz, J., Schukajlow S. 2021. ‘Create your own problem! Do students pose modelling problems that are based on given descriptions of real-world situations?’ ZDM - Mathematics Education 53: 919–935. doi: 10.1007/s11858-021-01224-7.
  • Schmitz M., Schukajlow S. 2021. ‘Pictures in Modelling Problems: Does Numerical Information Make a Difference.’ In Mathematical Modelling Education in East and West, edited by Leung F., Stillman G.A., Kaiser G., Wong K.L., 189–199. Heidelberg: Springer. doi: 10.1007/978-3-030-66996-6_16.
  • Heiderich, Sabrina; Böswald, Valentin. 2021. „Videokonferenz trifft Voting-Tool - Lernen, testen, diskutieren und motivieren in der digitalen Distanzlehre.“ Mitteilungen der Gesellschaft für Didaktik der Mathematik 110: 20–23.
  • Schukajlow S, Blomberg J, Rellensmann J, Leopold C. 2021. ‘Do emotions and prior performance facilitate the use of the learner-generated drawing strategy? Effects of enjoyment, anxiety, and intramathematical performance on the use of the drawing strategy and modelling performance.’ Contemporary Educational Psychology 65. doi: 10.1016/j.cedpsych.2021.101967.
  • Schukajlow S, Blomberg J, Rellensmann J, Leopold C. 2021. ‘The role of strategy-based motivation in mathematical problem solving: The case of learner-generated drawings.’ Learning and Instruction 101561. doi: 10.1016/j.learninstruc.2021.101561.
  • Rellensmann J, Schukajlow S, Blomberg J, Leopold C. 2021. ‘Does strategic knowledge matter? Effects of strategic knowledge about drawing on students’ modeling competencies in the domain of geometry.’ Mathematical Thinking and Learning 2021. doi: 10.1080/10986065.2021.2012741.
  • Ay I, Ostkirchen F. 2021. ‘Influence of Social Background on Mathematical Modelling — The DiMo+ Project.’ In Mathematical Modelling Education in East and West, edited by Leung F K S, Stillman G A, Kaiser G, Wong K L, 93–102. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-030-66996-6_8.
  • Frenken L. 2021. ‘Measuring Students’ Metacognitive Knowledge of Mathematical Modelling.’ In Mathematical Modelling Education in East and West. International Perspectives on the Teaching and Learning of Mathematical Modelling, edited by Leung F K S, Stillman G A, Kaiser G, Wong K L, 215–225. Düsseldorf: Springer VDI Verlag. doi: 10.1007/978-3-030-66996-6_18.
  • Brnic, M. 2021. „Mathematisches Lernen mit einem digitalen Schulbuch – eine Studie zur Nutzung im Mathematikunterricht.“ In Beiträge zum Mathematikunterricht 2021, herausgegeben von Hein K, Heil C, Ruwisch S, Prediger S. doi: 10.17877/DE290R-22267.
  • Best, Alexander; Fricke, Martin; Geldreich, Katharina. „Zentrale Webseite zur Übersicht von Projekten zur Informatik im Primarbereich. Darstellung der Vorarbeiten, des Status Quo und Erweiterung der Liste aktueller Projekteinträge.“ präsentiert auf der Informatik – Bildung von Lehrkräften in allen Phasen (INFOS 2021), Wuppertal, Deutschland, 2021. doi: 10.18420/infos2021_w285.
  • Kuckuck, Miriam; Best, Alexander; Schmitz, Denise. „Förderung informatischer Bildung im Sachunterricht in der ersten Lehramtsbildungsphase in NRW.“ präsentiert auf der Informatik – Bildung von Lehrkräften in allen Phasen (INFOS 2021), Wuppertal, Deutschland, 2021. doi: 10.18420/infos2021_w275.
  • Kuckuck, M., Best, A., Gryl, I., Grey, J., Brinda, T., Windt, A., Schreiber, N. 2021. „Informatische Bildung in Praxisphasen des Faches Sachunterricht an universitären Standorten in NRW.“ In Informatik – Bildung von Lehrkräften in allen Phasen (INFOS 2021), herausgegeben von Humbert, L., 241–250. Bonn: Köllen. doi: 10.18420/infos2021_p220.
  • Witte, Alena; Strübbe, Franziska. „Intuitive Sense Constructions of Children with Mathematical Giftedness.“ contributed to the International Congress on Mathematical Education, Shanghai, 2021.
  • Brnic, M. 2021. „Wissenschaftliche Begleitung.“ In Rundbrief 217. Das Net-Mathebuch. Ein digitales Online-Schulbuch für den Mathematikunterricht in der Sekundarstufe II, herausgegeben von H. Boer, 36–42. 800. Aufl. Münster: MUED-Bücherbunt.

  2020

  • Humbert, Ludger; Best, Alexander; Losch, Daniel; Johannes, Pieper. 2020. Stellungnahme der Gesellschaft für Informatik zum Lehrplanentwurf für das Fach Sachunterricht in der Grundschule in Nordrhein-Westfalen.
  • Best, Alexander. 2020. ‘Primary School Teachers’ Beliefs on Computer Science as a Discipline and as a School Subject.’ In WiPSCE '20: Proceedings of the 15th Workshop on Primary and Secondary Computing Education, edited by Brinda, Torsten; Armoni, Michal, 1–8. New York, NY: ACM Press. doi: 10.1145/3421590.3421659.
  • Schnell S, Frischemeier D. 2020. ‘Primary school students reasoning about and with the median when comparing distributions.’ In Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education, edited by Jankvist U T, Van den Heuvel-Panhuizen M, Veldhuis M, 1075–1082. Utrecht: Utrecht University.
  • Frischemeier D, Leavy A. 2020. ‘The challenges for prospective primary teachers when constructing statistically worthwhile questions.’ In Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education, edited by Jankvist U T, Van den Heuvel-Panhuizen M, Veldhuis M, 938–945. Utrecht: Utrecht University.
  • Biehler R, Fleischer Y, Budde L, Frischemeier D, Gerstenberger D, Podworny S, Schulte C. 2020. ‘Data science education in secondary schools: Teaching and learning decision trees with CODAP and Jupyter Notebooks as an example of integrating machine learning into statistics education.’ In New Skills in the Changing World of Statistics Education, edited by Arnold P. Den Haag: International Statistical Institute.
  • Budde L, Frischemeier D, Biehler R, Fleischer Y, Gerstenberger D, Podworny S, Schulte C. 2020. ‘Data Science Education in secondary school: How to develop statistical reasoning when exploring data using CODAP and Jupyter Notebooks.’ In New Skills in the Changing World of Statistics Education, edited by Arnold P. Den Haag: International Statistical Institute.
  • Frischemeier D. 2020. „Förderung stochastischer Kompetenzen in der Primarstufe mit der Software TinkerPlots.“ In Digitales Lernen in der Grundschule II - Aktuelle Trends in Forschung und Praxis, herausgegeben von Brandt B, Bröll L, Dausend H, 324–340. Münster: Waxmann.
  • Frischemeier D. 2020. „Nutzungsweisen der Software TinklerPlots bei der Analyse von Daten – Eine explorative Fallstudie mit Schülerinnen und Schülern der Primarstufe.“ In Forschung zu und mit digitalen Medien – Befunde für den Mathematikunterricht der Primarstufe, herausgegeben von Ladel S, Rink R, Schreiber C, Walter D, 181–200. Münster: Verlag für wissenschaftliche Texte und Medien.
  • Primi C, Leavy A, Arteaga P, Frischemeier D, Gonzalez O, Kazak S. 2020. ‘Introduction to the papers of TWG05: Probability and statististics education.’ In Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education , edited by Jankvist U T, Van den Heuvel-Panhuizen M, Veldhuis M, 866–869. Utrecht: Utrecht University.
  • Frischemeier D. 2020. „Stochastik unterrichten in der Primarstufe unter der Verwendung der Software TinkerPlots.“ In Beiträge zum Mathematikunterricht 2019, herausgegeben von Frank A, Krauss S, Binder K, 1191–1194. Münster: Verlag für wissenschaftliche Texte und Medien.
  • Schlicht Simeon, Meyer Michael. 2020. „Latente Sinnstrukturen als Bedingung der Möglichkeit von Teilhabe durch Elementarisierung.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller H-S, Weigel W, Wörler J F, 817–820.: WTM-Verlag. doi: 10.17877/DE290R-21536.
  • Platz Melanie, Schlicht Simeon. 2020. ‘Enhancing Children’s Argumentation Skills in Primary School Using Digital Learning Tools: Interpretative Analysis of a First Draft Learning Environment.’ In Proceedings of the 14th International Conference on Technology in Mathematics Teaching – ICTMT 14, edited by Barzel B, Bebernik R, Göbel L, Pohl M, Ruchniewicz H, Schacht F, Thum D, 101–108. Essen, Germany. doi: 10.17185/duepublico/70743.
  • Schwob Simeon, Schwob Andrea. 2020. „Gute inklusive (Schul-)Arbeit am Beispiel des Mathematikunterrichts: Die Vereinigten Staaten als Vorbild für Deutschland?“ In Sonderpädagogik und Bildungsforschung – Fremde Schwestern?, herausgegeben von Grosche M, Decristan J, Urton K, Jansen N C, Bruns G, Ehl B, 144–150. Bad Heilbrunn: Verlag Julius Klinkhardt.
  • Frischemeier D, Biehler R. 2020. „Big Data in der Grundschule?“ Grundschule Mathematik 65: 2–3.
  • Frischemeier D, Biehler R. 2020. „Statistisches Denken: Von guten Fragen, dem Denken in Verteilungen und sinnvoller Softwareunterstützung.“ Grundschule Mathematik 65: 32–35.
  • Frischemeier D. 2020. ‘Building Statisticians at an Early Age - Statistical Projects Exploring Meaningful Data in Primary School.’ Statistics Education Research Journal 19, Nr. 1: 39–56.
  • Frischemeier D, Leavy A. 2020. ‘Improving the quality of statistical questions posed for group comparison situations.’ Teaching Statistics 42: 58–65. doi: 10.1111/test.12222.
  • Hermanns Myriam, Tilke Franziska, Buddenberg Heike, Höveler Karina. 2020. „Inklusiver Unterricht: Schulung professioneller Wahrnehmung angehender Lehrkräfte.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller, H.-S., Weigel, W. Wörler, J. F., 1517. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.37626/GA9783959871402.0.
  • Tilke Franziska, Höveler Karina. 2020. „Konstanzeigenschaften erkunden: Schwierigkeiten beim Ordnen der individuellen Erkenntnisse.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller, H.-S., Weigel, W. Wörler, J. F., 937–940. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-21594.
  • Winzen Janet, Höveler Karina. 2020. ‘‘Kombi’ – A Digital Tool for Solving Combinatorial Counting Problems: Theoretical Funding of and Empirical Results on Central Design Principles.’ In Proceedings of the 10th ERME Topic Conference MEDA 2020, edited by Donevska-Todorova Ana, Faggiano Eleonora, Trgalova Jana, Lavicza Zsolt, Weinhandl Robert, Clark-Wilson Alison, Weigand Hans-Georg, 335–342.: HAL.
  • Höveler Karina, Winzen Janet. 2020. „Design-Prinzipien zur Entwicklung eines digitalen Arbeitsmittels zur Kombinatorik.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller Hans-Stefan, Weigel Wolfgang, Wörler Jan, 1097–1100. Münster: WTM Verlag. doi: 10.37626/GA9783959871402.0.
  • Rink R, Walter D. 2020. „Sachrechnen 2.0 – Unterstützung für den Aufbau eines Situationsmodells beim Sachrechnen.“ Grundschulunterricht Mathematik 2/2020: 28–31.
  • Walter D. 2020. „Analog oder digital? Analog und digital!“ Mathematik differenziert 2/2020: 6–9.
  • Walter D, Dexel T. 2020. „Heterogenität im Mathematikunterricht der Grundschule mit digitalen Medien begegnen? Eine fachdidaktische Perspektive auf Potentiale digital gestützten Mathematikunterrichts in der Grundschule.“ Zeitschrift für Grundschulforschung Heft 1/2020. doi: 10.1007/s42278-019-00071-6.
  • Rink R, Walter D. 2020. Digitale Medien im Matheunterricht – Ideen für die Grundschule. Berlin: Cornelsen Verlag.
  • Schreiber Ch, Walter D. 2020. „Tools in der Grundschule – Analoge und digitale Tools können fachliches Lernen unterstützen.“ Die Grundschulzeitschrift 320: 6–9.
  • Rink R, Walter D. 2020. „Denk- und Sachaufgaben 2.0 – Zum Einfluss multipler Repräsentationen auf die Generierung eines Situationsmodells beim Sachrechnen.“ In Beiträge zum Mathematikunterricht 2019, herausgegeben von Frank A, Krauss S, Binder K, 989–992. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-20577.
  • Selter Ch, Walter D. 2020. „Supporting the mathematical learning processes by means of maths conferences and maths language tools.“ In International Reflections on the Netherlands Didactics of Mathematics, herausgegeben von van den Heuvel-Panhuizen M, 229–254. doi: 10.1007/978-3-030-20223-1_13.
  • Winzen, Janet. 2020. „Kombinatorische Anzahlbestimmung digital. Das „Primat der Fachdidaktik“ als Ausgangspunkt für die Entwicklung eines digitalen Arbeitsmittels.“ In Digitales Lernen in der Grundschule II. Aktuelle Trends in Forschung und Praxis, herausgegeben von Brandt Birgit, Bröll Leena, Dausend Henriette, 306–323.
  • Winzen, Janet; Höveler, Karina. 2020. „Die iOS App „Notizen“. Ein digitales Arbeitsmittel zum Lösen von Kombinatorikaufgaben.“ Die Grundschulzeitschrift 320: 28–32.
  • Korten, L. 2020. „„Guck mal! Hier sind die Ergebnisse immer gleich …“ – Mathematische Gespräche in heterogenen Kinderpaaren.“ Grundschulzeitschrift Mathematik 324.
  • Korten, L. 2020. Gemeinsame Lernsituationen im inklusiven Mathematikunterricht – Zieldifferentes Lernen am gemeinsamen Lerngegenstand des flexiblen Rechnens in der Grundschule. Heidelberg: Springer Spektrum.
  • Korten, L. 2020. ‘Developing Flexibility in Mental Arithmetic in Interactive-Cooperative Learning Situations – Interaction as an Occasion for Productive Learning Processes.’ Journal of Mathematics Education (JME). Special Issue: Cognitive Flexibility (Hrsg.: Rathgeb-Schnierer, E., Green, M.) (peer reviewed) t.b.a.
  • Korten, L., Wollenweber, T., Herold-Blasius, R., Nührenbörger, M., Selter, Ch., Wember, F. B. 2020. „Blended-Learning-Fortbildung zum inklusiven Mathematikunterricht – Eine quantitativ und qualitativ ausgerichtete Entwicklungs- und Evaluationsforschungsstudie.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller, H.-S., Weigel, W., Wörler, J. S., 537–540. Münster: WTM-Verlag.
  • Strübbe, F./Kaiser, J./Dexel, T./Käpnick, F. 2020. „Mathematische Begabungsförderung in Kitas und im Anfangsunterricht - Einblicke in das Projekt „Mathe für kleine Asse“ .“ In Begabungsförderung, Leistungsentwicklung, Bildungsgerechtigkeit – für alle! (Tagungsband ICBF-Kongress 2018), herausgegeben von Fischer, C. et al., 171–179. Münster: Waxmann. doi: 10.31244/9783830990666.
  • Girard, P. 2020. „Potenziale von Mathematiklaboren im Übergang „Grundschule – weiterführende Schule“.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Hans-Stefan Siller, Wolfgang Weigel, Jan Franz Wörler, 1117–1120. Münster: WTM.
  • Fischer, C., Fischer-Ontrup, C., Käpnick, F., Neuber, N., Solzbacher, C., Zwitserlood, P. (Hrsg.): 2020. Begabungsförderung, Leistungsentwicklung, Bildungsgerechtigkeit - für alle! Beiträge aus der Begabungsförderung. Münster: Waxmann. doi: 10.31244/9783830990673.
  • Fischer Christian, Fischer-Ontrup Christiane, Käpnick Friedhelm, Neuber Nils, Solzbacher Claudia, Zwitserlood Pienie (Hrsg.): 2020. Begabungsförderung, Leistungsentwicklung, Bildungsgerechtigkeit - für alle! Beiträge aus der Begabungsforschung. Münster: Waxmann. doi: 10.31244/9783830990666.
  • Vock M, Weigand G, Preckel F, Fischer C, Käpnick F, Perleth C, Wollersheim H-W. 2020. „Wissenschaftlicher Hintergrund des LemaS-Projekts. Forschungsstand zur Förderung leistungsstarker und potenziell besonders leistungsfähiger Schülerinnen und Schüler.“ In Leistung macht Schule. Förderung leistungsstarker und potenziell besonders leistungsfähiger Schülerinnen und Schüler, herausgegeben von Weigand G, Fischer C, Käpnick F, Perleth C, Preckel F, Vock M, Wollersheim H-W, 23–30. Weinheim: Beltz Verlag.
  • Weigand G, Fischer C, Käpnick F, Perleth C, Preckel F, Vock M, Wollersheim H-W (Hrsg.): 2020. Leistung macht Schule. Förderung leistungsstarker und potenziell besonders leistungsfähiger Schülerinnen und Schüler. Weinheim: Beltz Verlag.
  • Schreiber Lea, Ohmann Yannick. 2020. „Mathematische Weltreise – Ein offenes substanzielles Aufgabenfeld für die Sek I aus dem Enrichment-Projekt „Mathe für kleine Asse“.“ R&E-Source Open Online Journal for Research and Education 19.
  • Strübbe, Franziska; Witte, Alena. 2020. „Gibt es eine größte Zahl? Intuitive kindliche Begriffskonstruktionen zu „unendlich“ .“ Open Online Journal for Research and Education 13.
  • Kaiser, Julia. „Mathematische Ästhetik bei (potenziell) begabten Erst- & ZweitklässlerInnen.“ präsentiert auf der 54. Jahrestagung der Gesellschaft für Didaktik der Mathematik, Würzburg, Deutschland, 2020.
  • Schreiber L. 2020. „Verschiedene Problemlösestile mathematisch begabter Sechst- und SiebtklässlerInnen.“ In Auf der 54. Jahrestagung der Gesellschaft für Didaktik der Mathematik (GDM), herausgegeben von Gesellschaft für Didaktik der Mathematik, Siller H-S, Weigel W, Wörler J F, 1133–1137. Münster: WTM.
  • Dexel, Timo; Witte, Alena. „Sprachbarrierefreie Problemaufgaben. Ein Beitrag zur inklusiven Unterrichtsentwicklung .“ präsentiert auf der 54. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Onlinetagung), Würzburg, 2020.
  • Witte, Alena. 2020. „Selbstregulative Kompetenzen mathematisch potenziell begabter Dritt- & ViertklässlerInnen.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller H. S., Weigel W. Wörler J. F., 1037–1040. Münster: Verlag für wissenschaftliche Texte und Medien.
  • Ay I. 2020. „Mathematisches Modellieren vor dem Hintergrund sozialer Herkunft.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller H-S, Weigel W, Wörler J F, 77–80. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-21208.
  • Ostkirchen Friederike. 2020. „Fallstudie zum Mathematischen Modellieren unter Berücksichtigung der Leistungsheterogenität.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller Hans-Stefan, Weigel Wolfgang, Wörler, Jan Franz, 693–696. Münster: Verlag für wissenschaftliche Texte und Medien.
  • Greefrath G. 2020. „Mathematisches Modellieren und digitale Werkzeuge.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller H-S, Weigel W, Wörler J F, 15–22. Münster: WTM-Verlag. doi: 10.17877/DE290R-21328.
  • Krause, Maurice. 2020. „Nutzung von schülereigenen Smartphones – Das Projekt smart for science.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller, Hans-Stefan; Weigel, Wolfgang; Wörler, Jan Franz, 1468. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-21380.
  • Frenken L, Greefrath G. 2020. „Analysen eines Testinstruments zum Metawissen über mathematisches Modellieren.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller H-S, Weigel W, Wörler J F, 1193–1196. Münster: WTM-Verlag. doi: 10.17877/DE290R-21306.
  • Frenken L, Libbrecht P, Greefrath G, Schiffner D, Schnitzler C. 2020. ‘Evaluating Educational Standards using Assessment “with” and “through” Technology.’ In Mathematics Education in the Digital Age (MEDA) PROCEEDINGS, edited by Donevska-Todorova A, Faggiano E, Trgalova J, Lavicza Z, Weinhandl R, Clark-Wilson A, Weigand HG, 361–368. Linz, Austria: HAL.
  • Heiderich S, Hußmann S. 2020. „Connections Between Intelligence, Mathematics Achievement and Eye Movements in Structuring Dot Patterns.“ Newsletter #16 of The International Group for Mathematical Creativity and Giftedness 16: 8–12.
  • Kürten Ronja. 2020. „Zusammenhang zwischen der Vorkursnutzung und den Klausurleistungen der ersten Semester.“ In Beiträge zum Mathematikunterricht 2020, herausgegeben von Siller H-S, Weigel W, Wörler J F, 1357–1360. Münster: WTM. doi: 10.37626/GA9783959871402.0.
  • Wess R, Greefrath G. 2020. „Diagnosekompetenzen von angehenden Lehrkräften am außerschulischen Lernort fördern.“ In Orte und Prozesse außerschulischen Lernens erforschen und weiterentwickeln, herausgegeben von Beyer L, Gorr C, Kather C, Komorek M, Röben P, Sella S, 339–347. Münster: LIT Verlag.
  • Kürten R, Greefrath G, Hammann M (Hrsg.): 2020. Komplexitätsreduktion in Lehr-Lern-Laboren. Innovative Lehrformate in der Lehrerbildung zum Umgang mit Heterogenität und Inklusion. Münster: Waxmann. doi: 10.31244/9783830989905.
  • Heinicke S, Holz C, Kürten R, Wess R. 2020. „Professionalisierung von Studierenden des Lehramts durch Komplexitätsreduktion in Lehr-Lern-Laboren.“ In Komplexitätsreduktion in Lehr-Lern-Laboren. Innovative Lehrformate in der Lehrerbildung zum Umgang mit Heterogenität und Inklusion, herausgegeben von Kürten R, Greefrath G, Hammann M, 227–255. Münster: Waxmann.
  • Wess, Raphael; Greefrath, Gilbert. 2020. „Lehr-Lern-Prozesse zum mathematischen Modellieren im Lehr-Labor MiRA+ initiieren und erforschen.“ mathematica didactica 43, Nr. 1: 31–46. doi: 10.18716/ojs/md/2020.1149.
  • Wess R, Greefrath G. 2020. „Aspekte förderdiagnostischer Kompetenz im Bereich des Lehrens mathematischen Modellierens bei angehenden Lehrkräften.“ In Beiträge zum Mathematikunterricht 2019, herausgegeben von Frank A, Krauss S, Binder K, 1125–1128. Münster: WTM. doi: 10.17877/DE290R-20746.
  • Ostkirchen F, Wess R. 2020. „Selbstdifferenzierende Eigenschaften von Modellierungsaufgaben – Sichtweisen von Studierenden im Kontext eines produktiven Umgangs mit Heterogenität.“ In Beiträge zum Mathematikunterricht 2019, herausgegeben von Frank A, Krauss S, Binder K, 597–600. Münster: WTM-Verlag.
  • Siller HS, Greefrath G. 2020. ‘Modelling Tasks in Central Examinations Based on the Example of Austria.’ In Mathematical Modelling Education and Sense-making, edited by Stillman GA, Kaiser G, Lampen CE, 383–392. Basel : Springer International Publishing. doi: 10.1007/978-3-030-37673-4_33.
  • Greefrath G. 2020. ‘Mathematical modelling competence. Selected current research developments.’ Avances de Investigación en Educación Matemática 17: 38–51. doi: 10.35763/aiem.v0i17.303.
  • Junker, Robin; Zeuch, Nina; Rott, David; Henke, Ina; Bartsch, Constanze; Kürten, Ronja. 2020. „Zur Veränderbarkeit von Heterogenitäts- Einstellungen und -Selbstwirksamkeitsüberzeugungen von Lehramtsstudierenden durch diversitätssensible hochschuldidaktische Lehrmodule.“ Empirische Sonderpädagogik 12, Nr. 1: 45–63.
  • Kürten Ronja. 2020. Mathematische Unterstützungsangebote für Erstsemesterstudierende. Entwicklung und Erforschung von Vorkurs und begleitenden Maßnahmen für die Ingenieurwissenschaften Dissertationsschrift, Universität Münster. Heidelberg: Springer Spektrum. doi: 10.1007/978-3-658-30225-2.
  • Hankeln, Corinna. 2020. ‘Mathematical modeling in Germany and France: a comparison of students’ modeling processes.’ Educational Studies in Mathematics 103: 209–229. doi: 10.1007/s10649-019-09931-5.
  • Jedtke E. 2020. „Digitale Lernpfade im Mathematikunterricht: Auswirkungen auf die computerbezogene Selbstwirksamkeitserwartung von Schülerinnen und Schülern.“ In Beiträge zum Mathematikunterricht 2019, herausgegeben von Frank, A; Krauss, S; Binder, K, 397–400. Münster: Verlag für wissenschaftliche Texte und Medien. doi: 10.17877/DE290R-20886.
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