Publikationsliste

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2023

Veröffentlicht

• Ceci, Stefano; Seis, Christian. 2023. ‘On the dynamics of vortices in viscous 2D flows.’ Mathematische Annalen online first. doi: 10.1007/s00208-023-02568-z.
• 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.

Akzeptiert / In Druck (Unveröffentlicht)

• 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 . doi: 10.1007/s00205-023-01850-3.

Eingereicht / In Begutachtung

• 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.
• Wenzel, Tizian; Haasdonk, Bernard; Kleikamp, Hendrik; Ohlberger, Mario; Schindler, Felix. 2023. Application of Deep Kernel Models for Certified and Adaptive RB-ML-ROM Surrogate Modeling arXiv. doi: 10.48550/ARXIV.2302.14526.

2022

Veröffentlicht

• Keil Tim, Ohlberger Mario. 2022. ‘Model Reduction for Large Scale Systems.’ In Large-Scale Scientific Computing, edited by Lirkov Ivan, Margenov Svetozar, 16–28. Cham: Springer International Publishing. doi: 10.1007/978-3-030-97549-4_2.
• 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.
• 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.
• 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.
• 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. Cham: Springer VDI Verlag. doi: 10.1007/978-3-030-97549-4_43.
• E W, Han J, Jentzen A. 2022. ‘Algorithms for Solving High Dimensional PDEs: From Nonlinear Monte Carlo to Machine Learning.’ SIAM Review 35, Nr. 1: 278–310. doi: 10.1088/1361-6544/ac337f.
• 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: 188. doi: 10.1007/s00033-022-01716-w.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• Monteil, A; Muratov, CB; Simon,TM; Slastikov, VV. 2022. Magnetic skyrmions under confinement arXiv. 1. Aufl. . doi: 10.48550/arXiv.2208.00058.
• Rüland, A; Simon, TM. 2022. On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation arXiv. 1. Aufl. . doi: 10.48550/arXiv.2210.04304.
• 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.
• Striewski Paul, Wirth Benedikt. 2022. ‘Elastic 3D-2D Image Registration.’ Journal of Mathematical Imaging and Vision 64: 443–462.
• 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, Boston: 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.
• 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.
• 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. Vienna: ARGESIM Verlag. doi: 10.11128/arep.17.a17155.
• Kleikamp Hendrik, Ohlberger Mario, Rave Stephan. 2022. ‘Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain.’ ARGESIM Reports 17. 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.
• Landstorfer M, Ohlberger M, Rave S, Tacke M. 2022. ‘A Modeling Framework for Efficient Reduced Order Simulations of Parametrized Lithium-Ion Battery Cells.’ European Journal of Applied Mathematics 2022: 1–38. doi: 10.1017/S0956792522000353.
• 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.
• Leibner Tobias. 2022. Model reduction for kinetic equations: moment approximations and hierarchical approximate proper orthogonal decomposition Dissertationsschrift, Universität Münster.
• Julia Schleuß, Kathrin Smetana. 2022. ‘Optimal local approximation spaces for parabolic problems.’ Multiscale Model. Simul. 20, Nr. 1: 551–582. doi: 10.1137/20M1384294.

Akzeptiert / In Druck (Unveröffentlicht)

• Haasdonk B, Kleikamp H, Ohlberger M, Schindler F, Wenzel T. 2022. ‘A new certified hierarchical and adaptive RB-ML-ROM surrogate model for parametrized PDEs.’ SIAM Journal on Scientific Computing 2022. doi: 10.48550/arXiv.2204.13454.

Eingereicht / In Begutachtung

• Keil Tim, Ohlberger Mario. 2022. ‘A relaxed localized trust-region reduced basis approach for optimization of multiscale problems.’ arXiv 2022. doi: 10.48550/arXiv.2203.09964.
• Freese P, Hauck M, Keil T, Peterseim D. 2022. A Super-Localized Generalized Finite Element Method arXiv 2022. doi: 10.48550/arXiv.2211.09461.
• Ibragimov, Shokhrukh; Jentzen, Arnulf; Kröger, Timo; Riekert, Adrian. 2022. On the existence of infinitely many realization functions of non-global local minima in the training of artificial neural networks with ReLU activation ArXiv. doi: 10.48550/arXiv.2202.11481.
• Eberle, Simon; Jentzen, Arnulf; Riekert, Adrian; Weiss, Georg. 2022. Normalized gradient flow optimization in the training of ReLU artificial neural networks ArXiv. doi: 10.48550/arXiv.2207.06246.
• Seis, Christian; Winkler, Dominik. 2022. Invariant Manifolds for the Thin Film Equation arXiv.org.
• Ranocha H. 2022. A Note on Numerical Fluxes Conserving Harten's Entropies for the Compressible Euler Equations.
• Meyer, David; Seis, Christian. 2022. Propagation of regularity for transport equations. A Littlewood-Paley approach arXiv.org.
• Navarro-Fernández V, Schlichting A. 2022. ‘Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients.’ Preprint arXiv:2201.10411 2022.
• Fischer, J; Hensel, S; Laux, T; Simon, TM. 2022. Local minimizers of the interface length functional based on a concept of local paired calibrations arXiv. doi: 10.48550/arXiv.2212.11840.
• Fokina, D, Iliev O, Toktaliev P, Oseledets I, Schindler F. 2022. ‘On the Performance of Machine Learning Methods for Breakthrough Curve Prediction.’ arXiv [physics.flu-dyn] 2204.11719. doi: 10.48550/arXiv.2204.11719.
• Singh, A; Thale, S; Leibner, T; Ricker, A; Nüsse, H; Klingauf, J; Ohlberger, M; Matis, M. 2022. ‘Dynamic interplay of protrusive microtubule and contractile actomyosin forces drives tissue extension.’ eLife 2022. doi: 10.1101/2022.06.21.496930.
• Julia Schleuß, Kathrin Smetana, Lukas ter Maat. 2022. ‘Randomized quasi-optimal local approximation spaces in time.’ arXiv 2022.

2021

Veröffentlicht

• 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.
• 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.
• 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.
• Naurois L, Jentzen A, Welti T. 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, 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• Simon TM. 2021. ‘Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures.’ SIAM Journal on Mathematical Analysis 53.
• Simon TM. 2021. ‘Rigidity of branching microstructures in shape memory alloys.’ Archive for Rational Mechanics and Analysis 241.
• 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.
• Pirner, Marlies. 2021. On multi-species BGK models with velocity dependent collision frequencies Oberwolfach.
• 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.
• 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. -: 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.
• 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.
• 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/.
• 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.
• 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.
• 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.
• Brunken Julia. 2021. Stable and efficient Petrov-Galerkin methods for certain (kinetic) transport equations Dissertationsschrift, Universität Münster.

Online First

• Gonon L, Grohs P, Jentzen A, Kofler D, Šiška D. 2021. ‘Uniform error estimates for artificial neural network approximations for heat equations.’ IMA Journal of Numerical Analysis . doi: 10.1093/imanum/drab027.
• Hutzenthaler M, Jentzen A, Kruse T. 2021. ‘Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities.’ Foundations of Computational Mathematics . doi: 10.1007/s10208-021-09514-y.
• Cheridito P, Jentzen A, Rossmannek F. 2021. ‘Efficient approximation of high-dimensional functions with neural networks.’ IEEE Transactions on Neural Networks and Learning Systems . doi: 10.1109/TNNLS.2021.3049719.
• Jentzen A, Kuckuck B, Müller-Gronbach T, Yaroslavtseva L. 2021. ‘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 Contin. Dyn. Syst. Ser. B tbd (early access version). doi: 10.3934/dcdsb.2021203.
• Elbrächter D, Grohs P, Jentzen A, Schwab C. 2021. ‘DNN Expression Rate Analysis of High-dimensional PDEs: Application to Option Pricing.’ Constr. Approx. . doi: 10.1007/s00365-021-09541-6.

Akzeptiert / In Druck (Unveröffentlicht)

• Cox S, Hutzenthaler M, Jentzen A. 2021. ‘Local Lipschitz continuity in the initial value and strong completeness for nonlinear stochastic differential equations.’ Mem. Amer. Math. Soc. .

Eingereicht / In Begutachtung

• Keil Tim, Rave Stephan. 2021. ‘An Online Efficient Two-Scale Reduced Basis Approach for the Localized Orthogonal Decomposition.’ arXiv 2021.
• Jentzen A, Riekert A. 2021. ‘On the existence of global minima and convergence analyses for gradient descent methods in the training of deep neural networks.’ arXiv .
• Jentzen A, Kröger T. 2021. ‘Convergence rates for gradient descent in the training of overparameterized artificial neural networks with biases.’ arXiv .
• Hutzenthaler M, Jentzen A, Pohl K, Riekert A, Scarpa L. 2021. ‘Convergence proof for stochastic gradient descent in the training of deep neural networks with ReLU activation for constant target functions.’ arXiv .
• Hutzenthaler M, Jentzen A, Kuckuck B, Padgett JL. 2021. ‘Strong $L^p$-error analysis of nonlinear Monte Carlo approximations for high-dimensional semilinear partial differential equations.’ arXiv .
• Hutzenthaler M, Jentzen A, Kruse T, Nguyen TA. 2021. ‘Overcoming the curse of dimensionality in the numerical approximation of backward stochastic differential equations.’ arXiv .
• Grohs P, Ibragimov S, Jentzen A, Koppensteiner S. 2021. ‘Lower bounds for artificial neural network approximations: A proof that shallow neural networks fail to overcome the curse of dimensionality.’ J. Complexity .
• Eberle S, Jentzen A, Riekert A, Weiss GS. 2021. ‘Existence, uniqueness, and convergence rates for gradient flows in the training of artificial neural networks with ReLU activation.’ arXiv .
• Cheridito P, Jentzen A, Rossmannek F. 2021. ‘Landscape analysis for shallow neural networks: complete classification of critical points for affine target functions.’ J. Nonlinear Sci. .
• Beneventano P, Cheridito P, Graeber R, Jentzen A, Kuckuck B. 2021. ‘Deep neural network approximation theory for high-dimensional functions.’ arXiv .
• Beck C, Hutzenthaler M, Jentzen A, Magnani E. 2021. ‘Full history recursive multilevel Picard approximations for ordinary differential equations with expectations.’ arXiv .
• Ranocha H, Schlottke-Lakemper M, Chan J, Rueda-Ramírez AM, Winters AR, Hindenlang F, Gassner GJ. 2021. Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws.
• Ketcheson DI, Ranocha H. 2021. Computing with B-series.
• Torlo D, Öffner P, Ranocha H. 2021. A New Stability Approach for Positivity-Preserving Patankar-type Schemes.
• Esposito A, Gvalani RS, Schlichting A, Schmidtchen M. 2021. ‘On a novel gradient flow structure for the aggregation equation.’ Preprint arXiv:2112.08317 2021.
• Hensel S, Fischer J, Laux T, Simon TM. 2021. The local structure of the energy landscape in multiphase mean curvature flow: Weak-strong uniqueness and stability of evolutions.
• Leibner T, Matis M, Ohlberger M, Rave S. 2021. ‘Distributed model order reduction of a model for microtubule-based cell polarization using HAPOD.’ arXiv [math.NA] 2111.00129.
• Gander Martin, Rave Stephan. 2021. Localized Reduced Basis Additive Schwarz Methods.

2020

Veröffentlicht

• 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.
• 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.’ Partial Differ. Equ. Appl. 1.
• Becker S, Cheridito P, Jentzen A. 2020. ‘Pricing and Hedging American-Style Options with Deep Learning.’ J. Risk Financial Manag. 13, Nr. 7.
• 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 J. Math. Data Sci. 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.’ Electron. J. Probab. 25: Paper No. 101, 73. 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. Springfield: American Institute of Mathematical Sciences.
• 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, USA: ACM. 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. Cham: 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.
• Nobili, Camilla; Seis, Christian. 2020. ‘Renormalization and energy conservation for axisymmetry fluid flows.’ Mathematische Annalen 2020. doi: 10.1007/s00208-020-02050-0.
• 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.
• 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.
• 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 M, Fathi M, Schlichting A. 2020. ‘Entropic curvature and convergence to equilibrium for mean-field dynamics on discrete spaces.’ Latin American Journal of Probability and Mathematical Statistics 17, Nr. 1: 445. doi: 10.30757/alea.v17-18.
• 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.
• 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.
• 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.
• 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.
• 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. 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. Cham: 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.
• 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.
• 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. Cham: Springer International Publishing. doi: 10.1007/978-3-030-47956-5_9.
• 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.
• 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.

Online First

• Bansal H, Rave S, Iapichino L, Schilders WHA, van de Wouw N. 2020. ‘Model order reduction framework for problems with moving discontinuities.’ Contributed to the Proceedings of ENUMATH 2019, Egmond aan Zee.

Akzeptiert / In Druck (Unveröffentlicht)

• Beck C, Jentzen A, Kuckuck B. 2020. ‘Full error analysis for the training of deep neural networks.’ Infin. Dimens. Anal. Quantum Probab. Relat. Top. tbd (to appear).
• Seis C. 2020. ‘Bounds on the rate of enhanced dissipation.’ Communications in Mathematical Physics .
• Crismale V, Friedrich M, Solombrino F. 2020. ‘Integral representation for energies in linear elasticity with surface discontinuities.’ Adv. Calc. Var. 2020.
• Friedrich M, Kruzik M, Stefanelli U. 2020. ‘Equilibrium of immersed hyperelastic solids.’ DCDS-S 2020.
• Friedrich M, Kruzik M, Valdman J. 2020. ‘Numerical approximation of von Kármán viscoelastic plates.’ DCDS-S 2020.
• Altenbernd Mirco, Dreier Nils-Arne, Engwer Christian, Göddeke Dominik. 2020. ‘Towards local-failure local-recovery in PDE frameworks: the case of linear solvers.’ Contributed to the HPCSE 2019, Ostrava, Czech Republic.
• Rave S, Saak J. 2020. ‘A Non-stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction.’ Contributed to the ENUMATH 2019, Graz.
• Mlinarić P, Rave S, Saak J. 2020. ‘Parametric model order reduction using pyMOR.’ Contributed to the MODRED 2019, Graz.

Eingereicht / In Begutachtung

• Beck C, Gonon L, Jentzen A. 2020. ‘Overcoming the curse of dimensionality in the numerical approximation of high-dimensional semilinear elliptic partial differential equations.’ IMA Journal of Numerical Analysis .
• Jentzen A, Welti T. 2020. ‘Overall error analysis for the training of deep neural networks via stochastic gradient descent with random initialisation.’ SIAM Journal on Numerical Analysis .
• Hornung F, Jentzen A, Salimova D. 2020. ‘Space-time deep neural network approximations for high-dimensional partial differential equations.’ Journal of Nonlinear Science .
• Bercher A, Gonon L, Jentzen A, Salimova D. 2020. Weak error analysis for stochastic gradient descent optimization algorithms.: Springer VDI Verlag.
• Hutzenthaler M, Jentzen A, Kruse T, Nguyen TA. 2020. ‘Multilevel Picard approximations for high-dimensional semilinear second-order PDEs with Lipschitz nonlinearities.’ Nonlinearity .
• Beck C, Jentzen A, Kruse T. 2020. ‘Nonlinear {M}onte {C}arlo methods with polynomial runtime for high-dimensional iterated nested expectations.’ Advances in Computational Mathematics .
• Beck C, Becker S, Cheridito P, Jentzen A, Neufeld A. 2020. ‘Deep learning based numerical approximation algorithms for stochastic partial differential equations and high-dimensional nonlinear filtering problems.’ arXiv .
• Beneventano P, Cheridito P, Jentzen A, von Wurstemberger P. 2020. ‘High-dimensional approximation spaces of artificial neural networks and applications to partial differential equations.’ arXiv .
• Jentzen A, Riekert A. 2020. ‘Strong overall error analysis for the training of artificial neural networks via random initializations.’ Communications in Mathematics and Statistics .
• Beck C, Hutzenthaler M, Jentzen A, Kuckuck B. 2020. ‘An overview on deep learning-based approximation methods for partial differential equations.’ Discrete Contin. Dyn. Syst. Ser. B .
• Friedrich M, Perugini M, Solombrino F. 2020. Lower semicontinuity for functionals defined on piecewise rigid functions and on GSBD.
• Davoli E, Friedrich M. 2020. Two-well linearization for solid-solid phase transitions.
• Friedrich M, Kreutz L, Schmidt B. 2020. Emergence of rigid polycrystals from atomistic systems with Heitmann-Radin sticky disk energy.
• Friedrich M, Perugini M, Solombrino F. 2020. Gamma-convergence for free-discontinuity problems in linear elasticity: Homogenization and relaxation.
• Brunken Julia Smetana Kathrin. 2020. ‘Stable and efficient Petrov-Galerkin methods for a kinetic Fokker-Planck equation.’ arXiv 2020.

2019

Veröffentlicht

• 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.
• 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.
• 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.
• Schlichting A. 2019. ‘The exchange-driven growth model: basic properties and longtime behavior.’ J Nonlinear Sci 30, Nr. 3: 793–830. doi: 10.1007/s00332-019-09592-x.
• Muratov CB, Simon TM. 2019. ‘A nonlocal isoperimetric problem with dipolar repulsion.’ Communications in Mathematical Physics 372.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• Balicki L, Mlinarić P, Rave S, Saak J. 2019. ‘System-theoretic model order reduction with pyMOR.’ PAMM 19. doi: 10.1002/pamm.201900459.
• 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.
• Julia Schleuß. 2019. Optimal local approximation spaces for parabolic problems (Master's thesis).
• 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.

Online First

• Riesselmann Johannes, Ketteler Jonas Wilhelm, Schedensack Mira, Balzani Daniel. 2019. ‘Three‐field mixed finite element formulations for gradient elasticity at finite strains.’ GAMM-Mitteilungen xxx. doi: 10.1002/gamm.202000002.
• Hellman Fredrik, Keil Tim, Målqvist Axel. 2019. ‘Multiscale methods for perturbed diffusion problems.’ Oberwolfach Reports 2019.

Akzeptiert / In Druck (Unveröffentlicht)

• Grohs P, Jentzen A, Salimova D. 2019. ‘Deep neural network approximations for Monte Carlo algorithms.’ Partial Differ. Equ. Appl. .

Eingereicht / In Begutachtung

• Hutzenthaler M, Jentzen A, Lindner F, Pušnik P. 2019. ‘Strong convergence rates on the whole probability space for space-time discrete numerical approximation schemes for stochastic Burgers equations.’ arXiv .
• Grohs P, Hornung F, Jentzen A, Zimmermann P. 2019. ‘Space-time error estimates for deep neural network approximations for differential equations.’ Adv. Comput. Math. .
• Giles MB, Jentzen A, Welti T. 2019. ‘Generalised multilevel Picard approximations.’ IMA J. Numer. Anal. .
• Cox S, Jentzen A, Lindner F. 2019. ‘Weak convergence rates for temporal numerical approximations of stochastic wave equations with multiplicative noise.’ arXiv .
• Beccari M, Hutzenthaler M, Jentzen A, Kurniawan R, Lindner F, Salimova D. 2019. ‘Strong and weak divergence of exponential and linear-implicit Euler approximations for stochastic partial differential equations with superlinearly growing nonlinearities.’ arXiv .
• M. Friedrich, Kruzik M. 2019. Derivation of von Kármán plate theory in the framework of threedimensional viscoelasticity.
• Schneider Florian, Leibner Tobias. 2019. ‘First-order continuous- and discontinuous-Galerkin moment models for a linear kinetic equation: realizability-preserving splitting scheme and numerical analysis.’ arXiv 2019.

2018

Veröffentlicht

• Ranocha H. 2018. Generalised Summation-by-Parts Operators and Entropy Stability of Numerical Methods for Hyperbolic Balance Laws Dissertationsschrift, TU Braunschweig: 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. Cham: Springer International Publishing. doi: 10.1007/978-3-319-91548-7_28.
• 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. Cham: 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, USA: ACM. 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.
• 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.
• 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.
• 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. 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.
• 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.
• 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.
• Laux T, Simon TM. 2018. ‘Convergence of the Allen-Cahn equation to multi-phase mean curvature flow.’ Communications on Pure and Applied Mathematics 71.
• 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.
• 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. Springer: 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. Springer: 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.
• 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.
• 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.
• 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.
• 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.
• 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. doi: 10.1007/978-3-319-90469-6_8.
• 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.
• 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.
• 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.
• 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).

Akzeptiert / In Druck (Unveröffentlicht)

• Hudde A, Hutzenthaler M, Jentzen A, Mazzonetto S. 2018. ‘On the Itô--Alekseev--Gröbner formula for stochastic differential equations.’ Ann. Inst. Henri Poincaré Probab. Stat. .
• Grohs P, Hornung F, Jentzen A, von Wurstemberger P. 2018. ‘A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black--Scholes partial differential equations.’ Mem. Amer. Math. Soc. .
• Verfürth B. 2018. ‘Heterogeneous Multiscale Method for the Maxwell equations with high contrast.’ ESAIM Math. Model. Numer. Anal. xx.

2017

Veröffentlicht

• 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. Cham: Springer. doi: 10.1007/978-3-319-65870-4_45.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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. doi: 10.1145/3026937.3026942.
• 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.
• 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. Cham: 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.
• 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, PA: SIAM Publications. doi: 10.1137/1.9781611974829.ch9.
• 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. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_17.
• 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.
• 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. Cham: Springer International Publishing. doi: 10.1007/978-3-319-57394-6_38.
• 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.
• 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. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_11.
• 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.
• 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. Cham: 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. John Wiley & Sons. doi: 10.1002/9781119176817.ecm2010.
• Benner P, Cohen A, Ohlberger M, Willcox K. 2017. Model Reduction and Approximation: Theory and Algorithms. Philadelphia, PA: SIAM Publications. doi: 10.1137/1.9781611974829.
• 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. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_13.
• 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.
• 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.
• 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.
• 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.
• Keil Tim. 2017. Variational crimes in the Localized orthogonal decomposition method (master's thesis).
• Scheel A, Stevens A. 2017. ‘Wavenumber selection mechanisms in coupled transport equations.’ J. Math. Biol. 2017.
• 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.

Online First

• Grebhahn A, Engwer C, Bolten M, Apel S. 2017. ‘Variability of Stencil Computations for Porous Media.’ Concurrency and Computation: Practice and Experience Special Issue on Advanced Stencil-Code Engineering.
• Engwer C, Falgout R, Yang UM. 2017. ‘A Framework of Stencil Computations for PDE based Applications with Examples from DUNE and hypre.’ Concurrency and Computation: Practice and Experience Special Issue on Advanced Stencil-Code Engineering.

Akzeptiert / In Druck (Unveröffentlicht)

• Hefter M, Jentzen A, Kurniawan R. 2017. ‘Counterexamples to regularities for the derivative processes associated to stochastic evolution equations.’ Stoch. Partial Differ. Equ. Anal. Comput. .
• Becker S, Gess B, Jentzen A, Kloeden PE. 2017. ‘Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen--Cahn equations.’ Stoch. Partial Differ. Equ. Anal. Comput. .
• Herrmann M, Matthies K. 2017. ‘Uniqueness of solitary waves in the high-energy limit of FPU-type chains.’ Contributed to the Patterns in Dynamics, Berlin.
• Stevens Angela. 2017. ‘Mathematics in the Life-Sciences: A personal point of view.’ DMV-Jahresbericht 2016.

Eingereicht / In Begutachtung

• Buhr Andreas, Smetana Kathrin. 2017. Randomized Local Model Order Reduction : arXiv:1706.09179, 2017.
• Burger M, DiFrancesco M, Fagioli S, Stevens A. 2017. ‘Sorting phenomena in a mathematical model for two mutually attracting/repelling species.’ SIAM J. Math. Analysis 2017.

2016

Veröffentlicht

• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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. 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.
• 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 in Bratislava.
• 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. Springer VDI Verlag. doi: 10.1007/978-3-319-40528-5_1.
• 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.
• 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, 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.: Springer. doi: 10.1007/978-3-319-39929-4_31.
• 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.
• 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.
• 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.
• 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: Slovak University of Technology in Bratislava.
• 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.
• 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.
• 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.
• 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 in Bratislava.
• 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.
• 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.
• 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 K, Stevens A. 2016. ‘Blowup and Global Solutions in a Chemotaxis-Growth System.’ Nonlinear Analysis 2016, Nr. 135: 57–72.

Online First

• Grah J., Harrington J., Koh S., Pike J., Schreiner A., Burger M., Schönlieb C., Reichelt S. 2016. ‘Mathematical imaging methods for mitosis analysis in live-cell phase contrast microscopy.’ Methods null, Nr. null. doi: 10.1016/j.ymeth.2017.02.001.
• Bruna M., Burger M., Ranetbauer H., Wolfram M. 2016. ‘Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures.’ Journal of Nonlinear Science null, Nr. null: 1–33. doi: 10.1007/s00332-016-9348-z.
• Haskovec Jan, Markowich Peter, Perthame Benoît, Schlottbom Matthias. 2016. ‘Notes on a PDE system for biological network formation.’ Nonlinear Analysis: Theory, Methods & Applications null. doi: 10.1016/j.na.2015.12.018.
• Lehrenfeld C, Schöberl J. 2016. ‘High order exactly divergence-free Hybrid Discontinuous Galerkin Methods for unsteady incompressible flows.’ Comp. Meth. Appl. Mech. Eng. 2016. doi: 10.1016/j.cma.2016.04.025.

Eingereicht / In Begutachtung

• Hefter M, Jentzen A, Kurniawan R. 2016. ‘Weak convergence rates for numerical approximations of stochastic partial differential equations with nonlinear diffusion coefficients in UMD Banach spaces.’ arXiv .
• Brinkmann Eva-Maria, Burger Martin, Rasch Julian, Sutour Camille. 2016. ‘Bias-Reduction in Variational Regularization.’ Journal of Mathematical Imaging and Vision Special Issue MIA 2016.
• Engwer C, Henning P, M\ralqvist A, Peterseim D. 2016. Efficient implementation of the Localized Orthogonal Decomposition method arXiv, 2016.
• Lehrenfeld C, Reusken A. 2016. L2-estimates for a high order unfitted finite element method for elliptic interface problems : arXiv eprints, 2016.
• Lehrenfeld C, Reusken A. 2016. ‘Analysis of a high order unfitted finite element method for elliptic interface problems.’ arXiv preprint arXiv:1602.02970 1602.02970.

2015

Veröffentlicht

• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• Rumpf M, Wirth B. 2015. ‘Variational time discretization of geodesic calculus.’ IMA Journal of Numerical Analysis 35, Nr. 3: 1011–1046.
• 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.
• 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.: Springer Verlag. doi: 10.1007/978-3-319-18461-6_16.
• 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. Springer New York LLC. 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.
• 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.: Springer Verlag. doi: 10.1007/978-3-319-18461-6_2.
• 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.
• 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.: 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.: Springer International Publishing. doi: 10.1007/978-3-319-26520-9_15.
• 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.
• 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.
• Leibner Tobias. 2015. Numerical methods for kinetic equations (Master's thesis).
• 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.
• 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 J, Stevens A. 2015. ‘A free boundary problem for celll motion.’ Differential and Integral Equations 28, no. 7-8: 695 – 732.
• Hamel F, Otani M, Stevens A, Webb JRL (Eds.): 2015. Mathematical Methods in the Applied Sciences Special Issue: Nonlinear Phenomena in Biology, Physics and Mechanics Volume 38, Issue 16.
• Stevens Angela. 2015. „Mathematik und Biowissenschaften.“ In Studien- und Berufsplaner Mathematik, herausgegeben von Springer Spektrum, 124 – 127.

Online First

• Burger M., Elvetun O., Schlottbom M. 2015. ‘Analysis of the Diffuse Domain Method for Second Order Elliptic Boundary Value Problems.’ Foundations of Computational Mathematics null, Nr. null. doi: 10.1007/s10208-015-9292-6.

Akzeptiert / In Druck (Unveröffentlicht)

• Burger M, Dirks H, Frerking L. 2015. ‘On Optical Flow Models for Variational Motion Estimation.’ Radon Book Series 2016.
• Barchiesi M, Brancolini A, Julin V. 2015. ‘Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality.’ Annals of Probability 2015.
• Engwer C, Gräser C, Müthing S, Sander O. 2015. The interface for functions in the dune-functions module arXiv, 2015.

Eingereicht / In Begutachtung

• Seis C. 2015. Invariant manifolds for the porous medium equation.
• Friedrich M, Schmidt B. 2015. A quantitative geometric rigidity result in SBD.
• Friedrich M. 2015. A Korn-Poincaré-type inequality for special functions of bounded deformation.
• Engwer C, Schumacher L. 2015. ‘Phase Field Approach to Fluid Filled Fractures using Discontinuous Galerkin Methods.’ Mathematics and Computers in Simulation -.
• Engwer C, Vorwerk J, Ludewig J, Wolters C. 2015. ‘A Discontinuous Galerkin Methods for the EEG Forward Problem.’ arXiv 2015.

2014

Veröffentlicht

• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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 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.
• 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, 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.
• 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.
• 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.
• 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.
• 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.
• 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.: CIMNE, Barcelona.
• 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. 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. Cham: 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.
• 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.
• 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.
• 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.
• 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.: Springer International Publishing. doi: 10.1007/978-3-319-05684-5_41.
• 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.
• 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.: 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.: 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.: Springer International Publishing. doi: 10.1007/978-3-319-05591-6_61.
• 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.: Springer. doi: 10.1007/978-3-319-05591-6_69.
• 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.
• 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 H, Fuhrmann J., Stevens A. 2014. ‘Traveling waves emerging in a diffusive moving filament system.’ In Managing complexity, reducing perplexity, Modeling biological systems, edited by Ajmone-Marsan G, Delitala M, 91–99. Springer VDI Verlag.
• Stevens A. 2014. „Mathematische Modellierung von Strukturbildung in zellulären Systemen.“ Beitrag präsentiert auf der 549. Sitzung, 20. März 2013, der Nordrhein-Westfälischen Akademie der Wissenschaft und Künste, Naturwissenschaften und Medizin, Düsseldorf.

Akzeptiert / In Druck (Unveröffentlicht)

• Sawatzky A, Xu Q, Schirra C, Anastasio M. 2014. ‘Proximal ADMM for Multi-Channel Image Reconstruction in Spectral X-ray CT.’ IEEE Transactions on Medical Imaging -.
• Sawatzky A. 2014. ‘Performance of First-Order Algorithms for TV Penalized Weighted Least-Squares Denoising Problem.’ Contributed to the ICISP 2014, Cherbourg, Normandy, France.

Eingereicht / In Begutachtung

• Hutzenthaler M, Jentzen A, Noll M. 2014. ‘Strong convergence rates and temporal regularity for Cox--Ingersoll--Ross processes and Bessel processes with accessible boundaries.’ arXiv .

2013

Veröffentlicht

• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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., 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. Springer VDI Verlag. doi: 10.1007/978-3-319-01712-9-2.
• 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. unbekannt / n.a. / unknown. doi: 10.1007/978-3-319-01712-9-1.
• 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.
• 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, 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.
• 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.
• 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.
• 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, 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.
• 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.
• 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.
• 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. 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.
• Aland S, Lehrenfeld C, Marschall H, Meyer C, Weller S. 2013. ‘Accuracy of Two-Phase Flow Simulations.’ In Proc. Appl. Math. Mech., 595–598.: Springer. doi: 10.1002/pamm.201310278.
• 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 I, Stevens A, Velázquez JJL. 2013. ‘Pattern forming instabilities driven by non-diffusive interaction.’ Netw. Heterog. Media 2013, Nr. 8, no. 1: 397–432.

Online First

• Hegemann Jan, Cantarero Alejandro, Richardson Casey L, Teran Joseph M. 2013. ‘An explicit update scheme for inverse parameter and interface estimation of piecewise constant coefficients in linear elliptic PDEs.’ SIAM Journal on Scientific Computing 35.

2012

Veröffentlicht

• 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.
• 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.
• 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.
• Hutzenthaler M, Jentzen A, Kloeden PE. 2012. ‘Strong convergence of an explicit numerical method for SDEs with nonglobally Lipschitz continuous coefficients.’ Ann. Appl. Probab. 22, Nr. 4: 1611–1641.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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: 1364–82. 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: 5715–31.
• 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.
• 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.
• 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.
• 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.: Springer. doi: 10.1007/978-3-642-28589-9_7.
• 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.
• 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.: Springer,. doi: 10.1007/978-3-642-25100-9_65.
• 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.: ESAIM: Proceedings. doi: 10.1051/proc/201238008.
• 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.
• 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.
• Rave S. 2012. On Finitely Summable K-Homology Dissertationsschrift, Universität Münster.
• 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. Springer VDI Verlag. doi: 10.1007/978-3-7091-0794-2_6.
• 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.

Online First

• Kelkel J, Surulescu C. 2012. ‘A multiscale approach to cell migration in tissue networks.’ Mathematical Models and Methods in the Applied Sciences 22, Nr. 3.

Akzeptiert / In Druck (Unveröffentlicht)

• Gigengack F, Ruthotto L, Modersitzki J, Burger M, Wolters C, Jiang X, Schäfers K. 2012. ‘A simplified pipeline for motion correction in dual gated cardiac PET.’ Contributed to the Bildverarbeitung für die Medizin, Berlin.

2011

Veröffentlicht

• 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.
• 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.
• Sawatzky A. 2011. (Nonlocal) Total Variation in Medical Imaging Dissertationsschrift, WWU Münster.
• Benning M, Burger M. 2011. ‘Error estimates for general fidelities.’ El. Trans. Numer. Anal. 38: 44–68.
• 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.: Springer. doi: 10.1007/978-3-642-20671-9_39.
• 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.
• Kelkel J, Surulescu C. 2011. ‘On some models for cancer cell migration through tissue.’ Mathematical Biosciences and Engineering 8: 575–589.
• Surulescu C, Surulescu N. 2011. ‘Mathematical modeling with stochastic processes and stochastic differential equations.’ European Communications in Mathematical and Theoretical Biology 14: 106–117.
• 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.
• 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.
• 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.
• 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.: Selbstverlag / Eigenverlag / Self-publishing. 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.
• 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.
• 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, Warnecke M, Schmenk B, Seide G, Gries T. 2011. ‘Filament breaches during air-gap spinning.’ Chemical Fibers International 61: 38–39.
• 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.
• 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. Springer VDI Verlag. doi: 10.1007/978-0-387-92920-0_31.
• Burger M, Matevosyan N, Wolfram M. 2011. ‘A level set based shape optimization method for an elliptic obstacle problem.’21: 619–649.
• 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: 1641–9.
• 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.
• 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.’
• 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.
• Burger M. 2011. ‘Inverse problems in ion channel modelling.’ Inverse Problems 27, Nr. 8. doi: 10.1088/0266-5611/27/8/083001.
• 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.
• Heins P. 2011. Sparse Model-Based Reconstruction in Dynamic Positron Emission Tomography.
• 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.: Springer.
• 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.
• 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.: International Center for Numerical Methods in Engineering (CIMNE), Barcelona.
• 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.
• 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.: 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.
• 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.
• Stevens A. 2011. „Angewandte Analysis.“ In Facettenreiche Mathematik: Einblicke in die moderne mathematische Forschung für alle, die mehr von Mathematik verstehen wollen, herausgegeben von Wendland K, Werner A, 327–346. Wiesbaden: Vieweg Verlag.
• Espejo Elio E., Stevens Angela, Suzuki Takashi. 2011. ‘Simultaneous Blowup and Mass Separation During Collapse in an Interacting System of Chemotactic Species.’ Differential and Integral Equations 25, Nr. 3-4: 251–288.
• Horstmann, Dirk, Stevens, Angela. 2011. ‘Origins of Theoretical Biology.’ European Communications in Mathematical and Theoretical Biology 2011, Nr. 14: 94–103.

Eingereicht / In Begutachtung

• Märkl C, Surulescu C. 2011. Mathematical analysis and numerical simulations for a system modeling acid-mediated tumor cell invasion , 2011.
• Winkel C, Neumann S, Surulescu C, Scheurich P. 2011. A minimal mathematical model for the dynamics of (TNF-) receptor signaling , 2011.
• Meral G., Surulescu C. 2011. Mathematical modeling, analysis and numerical simulations for the influence of heat shock proteins on tumor invasion , 2011.

2010

Veröffentlicht

• 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.
• 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.
• 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.
• Benning M. 2010. Improved Dynamic PET via Kinetic Models and Operator Splitting.
• Drohmann M, Haasdonk B, Ohlberger M. 2010. Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation , 2010.
• 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.
• 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. Berlin 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• Burger M, Carrillo J, Wolfram MT. 2010. ‘A mixed finite element method for nonlinear diffusion equations.’ Kinetic and Related Methods 3: 59–83.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• Kang K, Stevens A, Velázquez JJL. 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 A, Chan R, Wolf C, Robitzki A, Stevens A, Scheuermann G. 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 V, Tricoche X, Hagen H, Tierny J, 193–204. Heidelberg, Dordrecht, London, New York: Springer VDI Verlag. doi: 10.1007/978-3-642-15014-2_16.
• Espejo EE, Stevens A, Velázquez JJL. 2010. ‘A note on nonsimultaneous blow-up for a drift-diffusion model.’ Differential and Integral Equations 23, Nr. 5-6: 451–462.

Akzeptiert / In Druck (Unveröffentlicht)

• Engwer C, Bastian P, Kuttanikkad SP. 2010. ‘An Unfitted Discontinuous Galerkin Finite Element Method for Pore Scale Simulations.’ In 9th International Workshop on State-of-the-Art in Scientific and Parallel Computing.: Springer.

2009

• 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.
• 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.
• 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.
• 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.
• 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.
• 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: 674–81. 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.
• 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.
• Kelkel J, Surulescu C. 2009. ‘A weak solution approach to a reaction-diffusion system modeling pattern formation on seashells.’ MMAS 32: 2267–2286.
• 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.
• 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 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.
• 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.
• 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.
• 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.
• 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, .. 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.
• Bachmayr M, Burger M. 2009. ‘Iterative total variation schemes for nonlinear inverse problems.’ Inverse Problems 25.
• Engwer C. 2009. An Unfitted Discontinuous Galerkin Scheme for Micro-scale Simulations and Numerical Upscaling Dissertationsschrift, Universität Heidelberg.
• 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.
• Albrecht F. 2009. Local Discontinuous Galerkin Verfahren für die Stokes Gleichungen und Homogenisierung in porösen Medien (Diplomarbeit).
• 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.’.
• 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.
• 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.
• 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.
• Primi I, Stevens A, Velázquez JJL. 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 E E, Stevens A, Velazquez JJL. 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 K, Perthame B, Stevens A, Velázquez JJL. 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 F, Stevens A. 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.
• DiBenedetto E, Perthame B, Stevens A (Eds.): 2009. Mathematical biology. Abstracts from the workshop held May 39, 2009. Organized by Emmanuele DiBenedetto, Benoit Perthame and Angela Stevens. Oberwolfach Reports. Vol. 6, no. 2., S. 1303-1373. Zürich: European Mathematical Society. doi: 10.4171/OWR/2009/24.

2008

• 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.
• Schlake B. 2008. Mathematical Models for Pedestrian Motion.
• 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.
• Brune C, Maurer H, Wagner M. 2008. „aaa Kantenerkennung im optischen Fluss als mehrdimensionales Steuerungsproblem.“. BTU Cottbus.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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. Springer VDI Verlag. doi: 10.1007/978-3-540-77203-3_8.
• 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.
• 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. Berlin: Springer VDI Verlag. doi: 10.1007/978-3-540-69010-8_7.
• Stevens A, Velázquez JJL. 2008. ‘Partial differential equations and non-diffusive structures.’ Nonlinearity 21, Nr. 12: T283–T289. doi: 10.1088/0951-7715/21/12/T04.

2007

• 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.
• Brune C. 2007. Berechnung des optischen Flusses und Kantenerkennung mit Optimierungsmethoden.
• 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.. Springer VDI Verlag.
• 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. Berlin: Springer VDI Verlag. doi: 10.1007/978-3-540-28396-6_1.
• 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.
• 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.
• 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 (electronic). 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. Berlin: Springer VDI Verlag. doi: 10.1007/978-3-540-44446-6_6.
• Haasdonk B, Ohlberger M. 2007. ‘Basis Construction for Reduced Basis Methods by Adaptive Parameter Grids.’.
• 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.’.
• 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.
• Henning P. 2007. Die Heterogene Mehrskalenmethode f\�r elliptische Differentialgleichungen in perforierten Gebieten.
• Rave S. 2007. Über die Entscheidbarkeit gewisser Prädikate in der Theorie der C*-Algebren. Münster.
• 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.
• Fuhrmann J, Käs J, Stevens A. 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.

2006

• 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.
• 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.
• 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.
• 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.
• 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. 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. Springer VDI Verlag. doi: 10.1007/3-540-35657-6_17.
• 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.
• 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. Boston: Birkhäuser.
• Burger M, Stainko R. 2006. ‘Phase-field relaxation of topology optimization with local stress constraints,.’ SIAM J. Control. Optim. 45: 1447–1466.
• Su B, Burger M. 2006. Weak solutions of a polymer crystal growth model , 2006.
• 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.
• 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.
• 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.
• 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.
• Dkhil F, Stevens A. 2006. ‘Traveling wave speeds of nonlocally perturbed reaction diffusion equations.’ Asymptotic Analysis 46, Nr. 1: 81–91.
• Hwang HJ, Kang K, Stevens A. 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.
• DiBenedetto E, Perthame B, Stevens A (Eds.): 2006. Mathematical biology. Abstracts from the workshop held May 1420, 2006. Organized by Emmanuele DiBenedetto, Benot Perthame and Angela Stevens. Oberwolfach Reports, Vol. 3, no. 2., S. 1385-1461. Zürich: European Mathematical Society. doi: 10.4171/OWR/2006/24.

2005

Veröffentlicht

• 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.
• 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. Springer VDI Verlag. doi: 10.1007/3-540-27907-5_9.
• 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.
• 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.
• 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.
• 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.
• 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.
• Ohlberger M. 2005. ‘A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems.’ Multiscale Model. Simul. 4: 88–114.
• Stevens A, Søgaard-Andersen L. 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 HJ, Kang K, Stevens A. 2005. ‘Drift-diffusion limits of kinetic models for chemotaxis: A generalization.’ Discrete and Continuous Dynamical Systems - Series B 5, Nr. 2: 319–334.
• Hwang H J, Kang K, Stevens A. 2005. ‘Global solutions of nonlinear transport equations for chemosensitive movement.’ SIAM Journal on Mathematical Analysis 36, Nr. 4: 1177–1199. doi: 10.1137/S0036141003431888.