Keil T, Kleikamp H, Lorentzen R, Oguntola M, Ohlberger M. . ‘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.
E W, Han J, Jentzen A. . ‘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.
Abgrall R, Öffner P, Ranocha H. . ‘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. . ‘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.
Monteil, A; Muratov, CB; Simon,TM; Slastikov, VV. . Magnetic skyrmions under confinement arXiv. 1. Aufl. . doi: 10.48550/arXiv.2208.00058.
Rüland, A; Simon, TM. . On Rigidity for the Four-Well Problem Arising in the Cubic-to-Trigonal Phase Transformation arXiv. 1. Aufl. . doi: 10.48550/arXiv.2210.04304.
Striewski Paul, Wirth Benedikt. . ‘Elastic 3D-2D Image Registration.’ Journal of Mathematical Imaging and Vision 64: 443–462.
Dirks C, Wirth B. . ‘An adaptive finite element approach for lifted branched transport problems.’ InOptimization and Control for Partial Differential Equations: Uncertainty quantification, open and closed-loop control, and shape optimization, edited byRoland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler, Emmanuel Trélat, 189–236. Berlin, Boston: De Gruyter.
Effland A, Heeren B, Rumpf M, Wirth B. . ‘Consistent Curvature Approximation on Riemannian Shape Spaces.’ IMA Journal of Numerical Analysis 42, Nr. 1: 78–106.
Potthoff Jonas, Wirth Benedikt. . ‘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. . ‘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. . ‘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. . ‘Efficient Gas Network Simulations.’ InGerman Success Stories in Industrial Mathematics, edited byBock HG, Küfer KH, Maass P, Milde A, Schulz V, 17––22. doi: 10.1007/978-3-030-81455-7_4.
Kleikamp Hendrik, Ohlberger Mario, Rave Stephan. . ‘Nonlinear Model Order Reduction using Diffeomorphic Transformations of a Space-Time Domain.’ ARGESIM Reports 17. doi: 10.11128/arep.17.a17129.
Landstorfer M, Ohlberger M, Rave S, Tacke M. . ‘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.
Fischer, J; Hensel, S; Laux, T; Simon, TM. . Local minimizers of the interface length functional based on a concept of local paired calibrations arXiv. doi: 10.48550/arXiv.2212.11840.
Beck C, Hutzenthaler M, Jentzen A. . ‘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. . ‘Non-convergence of stochastic gradient descent in the training of deep neural networks.’ Journal of Complexity 64: Paper No. 101540, 10 pp.
Schlottke-Lakemper M, Winters AR, Ranocha H, Gassner GJ. . ‘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. . ‘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. . ‘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. . ‘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. . ‘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. . ‘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. . ‘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. . ‘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. . ‘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. . ‘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. . ‘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. . ‘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. . ‘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.
Simon TM. . ‘Quantitative aspects of the rigidity of branching microstructures in shape memory alloys via H-measures.’ SIAM Journal on Mathematical Analysis 53.
Simon TM. . ‘Rigidity of branching microstructures in shape memory alloys.’ Archive for Rational Mechanics and Analysis 241.
Bernand-Mantel A, Muratov CB, Simon TM. . ‘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.
Braunsmann J, Rajkovic M, Rumpf M, Wirth B. . ‘Learning low bending and low distortion manifold embeddings.’ In2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW), edited byThe Computer Vision Foundation, 4411–4419. -: Wiley-IEEE Press.
Dirks C, Striewski P, Wirth B, Aalto A, Olguin-Olguin A. . ‘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. . ‘Entropic regularization of continuous optimal transport problems.’ Journal of Mathematical Analysis and Applications 494, Nr. 1: 124432.
Clason C, Tameling C, Wirth B. . ‘Convex relaxation of discrete vector-valued optimization problems.’ SIAM Review 63, Nr. 4: 783–821.
Hardering H, Wirth B. . ‘Quartic Lp-convergence of cubic Riemannian splines.’ IMA Journal of Numerical Analysis 42, Nr. 4: 3360–3385. doi: 10.1093/imanum/drab077.
Streitbürger Florian, Engwer Christian, May Sandra, Nüßing Andreas. . ‘Monotonicity considerations for stabilized DG cut cell schemes for the unsteady advection equation.’ Contributed to the ENUMATH2019, Egmond aan Zee, The Netherlands.
Himpe C. . ‘Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms.’ InModel Reduction of Complex Dynamical Systems, edited byBenner 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. . ‘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. . ‘MathEnergy – Mathematical Key Technologies for Evolving Energy Grids.’ InMathematical Modeling, Simulation and Optimization for Power Engineering and Management, edited byGöttlich 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. . ‘Localized model reduction for parameterized problems.’InModel Order Reduction: Volume 2 Snapshot-Based Methods and Algorithms, edited byBenner P, Grivet-Talocia S, Quarteroni A, Rozza G, Schilders W, Sileira L, 245 – 306. doi: 10.1515/9783110671490-006.
Leibner T, Ohlberger M. . ‘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.
Gonon L, Grohs P, Jentzen A, Kofler D, Šiška D. . ‘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. . ‘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. . ‘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. . ‘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. . ‘DNN Expression Rate Analysis of High-dimensional PDEs: Application to Option Pricing.’ Constr. Approx. . doi: 10.1007/s00365-021-09541-6.
Bach A, Sommer L. . ‘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. . ‘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. . ‘Pricing and Hedging American-Style Options with Deep Learning.’ J. Risk Financial Manag. 13, Nr. 7.
Fehrman B, Gess B, Jentzen A. . ‘Convergence rates for the stochastic gradient descent method for non-convex objective functions.’ Journal of Machine Learning Research 21: Paper No. 136, 48.
Hutzenthaler M, Jentzen A, von Wurstemberger P. . ‘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.
Abgrall R, Mélédo El, Öffner P, Ranocha H. . ‘Error Boundedness of Correction Procedure via Reconstruction/Flux Reconstruction and the Connection to Residual Distribution Schemes.’ InHyperbolic Problems: Theory, Numerics, Applications, edited byBressan A, Lewicka M, Wang D, Zheng Y, 215–222. Springfield: American Institute of Mathematical Sciences.
Heinisch P, Ostaszewski K, Ranocha H. . ‘Towards Green Computing: A Survey of Performance and Energy Efficiency of Different Platforms using OpenCL.’ InProceedings of the International Workshop on OpenCL. New York, NY, USA: ACM. doi: 10.1145/3388333.3403035.
Ranocha H. . ‘Entropy Conserving and Kinetic Energy Preserving Numerical Methods for the Euler Equations Using Summation-by-Parts Operators.’ InSpectral and High Order Methods for Partial Differential Equations {ICOSAHOM} 2018, edited bySherwin 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. . ‘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. . ‘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. . ‘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. . ‘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. . ‘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. . ‘General Relaxation Methods for Initial-Value Problems with Application to Multistep Schemes.’ Numerische Mathematik 146. doi: 10.1007/s00211-020-01158-4.
Erbar M, Fathi M, Schlichting A. . ‘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. . ‘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. . ‘Unraveling the role of dipolar vs. Dzyaloshinskii-Moriya interaction in stabilizing compact magnetic skyrmions.’ Physical Review B 101.
Friedrich M, Stefanelli U. . ‘Crystallization in a one-dimensional periodic landscape.’ J. Stat.Phys. 179.
Crismale V, Friedrich M. . ‘Equilibrium configurations for epitaxially strained films and material voids in three-dimensional linear elasticity.’ Arch. Ration. Mech. Anal. 237.
Schmitzer B, Schäfers KP, Wirth B. . ‘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.
Wirth B. . ‘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. . ‘Statistical shape analysis of tap roots: a methodological case study on laser scanned sugar beets.’ BMC Bioinformatics 21, Nr. 335.
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. . ‘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. . ‘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. . ‘Numerical Upscaling of Perturbed Diffusion Problems.’ SIAM Journal on Scientific Computing 2020, Nr. Volume 42, Issue 4: A2014–A2036. doi: 10.1137/19M1278211.
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Bansal H, Rave S, Iapichino L, Schilders WHA, van de Wouw N. . ‘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. . ‘Full error analysis for the training of deep neural networks.’ Infin. Dimens. Anal. Quantum Probab. Relat. Top. tbd (to appear).
Crismale V, Friedrich M, Solombrino F. . ‘Integral representation for energies in linear elasticity with surface discontinuities.’ Adv. Calc. Var. 2020.
Friedrich M, Kruzik M, Stefanelli U. . ‘Equilibrium of immersed hyperelastic solids.’ DCDS-S 2020.
Altenbernd Mirco, Dreier Nils-Arne, Engwer Christian, Göddeke Dominik. . ‘Towards local-failure local-recovery in PDE frameworks: the case of linear solvers.’ Contributed to the HPCSE 2019, Ostrava, Czech Republic.
Ranocha H. . ‘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. . ‘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. . ‘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. . ‘Some Notes on Summation by Parts Time Integration Methods.’ Results in Applied Mathematics 1: 100004. doi: 10.1016/j.rinam.2019.100004.
Friedrich M, Kreutz L. . ‘Crystallization in the hexagonal lattice for ionic dimers.’ Math. Models Methods Appl. Sci. 29.
Friedrich M. . ‘A compactness result in GSBV^p and applications to Gamma-convergence for free
discontinuity problems.’ Calc. Var. PDE 68.
Schmitzer B, Wirth B. . ‘A framework for Wasserstein-1-type metrics.’ Journal of Convex Analysis 26, Nr. 2: 353–396.
Schmitzer B, Wirth B. . ‘Dynamic Models of Wasserstein-1-Type Unbalanced Transport.’ ESAIM: Control, Optimisation and Calculus of Variations 25: 23.
Heeren B, Rumpf M, Wirth B. . ‘Variational time discretization of Riemannian splines.’ IMA Journal of Numerical Analysis 26, Nr. 2: 353–396. doi: 10.1093/imanum/drx077.
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. . ‘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. . ‘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.
Benner P, Himpe C. . ‘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. . ‘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.
Julia Schleuß. . Optimal local approximation spaces for parabolic problems (Master's thesis).
Cagnetti F, Dal Maso G, Scardia L, Zeppieri C I. . ‘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. . ‘Stochastic homogenisation of free-discontinuity problems.’ Arch. Ration. Mech. Anal. 233: 935–974.
Pellet X, Scardia L, Zeppieri C I. . ‘Homogenization of high-contrast Mumford-Shah energies.’ SIAM J. Math. Anal. 51: 1696–1729.
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Riesselmann Johannes, Ketteler Jonas Wilhelm, Schedensack Mira, Balzani Daniel. . ‘Three‐field mixed finite element formulations for gradient elasticity at finite strains.’ GAMM-Mitteilungen xxx. doi: 10.1002/gamm.202000002.
Ranocha H. . 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. . ‘Artificial Viscosity for Correction Procedure via Reconstruction Using Summation-by-Parts Operators.’ InTheory, Numerics and Applications of Hyperbolic Problems II, edited byKlingenberg C, Westdickenberg M, 363–375. Cham: Springer International Publishing. doi: 10.1007/978-3-319-91548-7_28.
Öffner P, Ranocha H, Sonar T. . ‘Correction Procedure via Reconstruction Using Summation-by-Parts Operators.’ InTheory, Numerics and Applications of Hyperbolic Problems II, edited byKlingenberg C, Westdickenberg M, 491–501. Cham: Springer International Publishing. doi: 10.1007/978-3-319-91548-7_37.
Ostaszewski K, Heinisch P, Ranocha H. . ‘Advantages and Pitfalls of OpenCL in Computational Physics.’ InProceedings 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. . ‘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. . ‘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. . ‘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. . ‘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.
Simon TM. . 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. . ‘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. . ‘Maximum palinstrophy amplification in the two-dimensional Navier-Stokes equations.’ Journal of Fluid Mechanics 837: 839–857. doi: 10.1017/jfm.2017.874.
Clason C, Tameling C, Wirth B. . ‘Vector-valued multibang control of differential equations.’ SIAM Journal on Control and Optimization 56, Nr. 3: 2295–2326.
Brancolini A, Rossmanith C, Wirth B. . ‘Optimal micropatterns in 2D transport networks and their relation to image inpainting.’ Archive for Rational Mechanics and Analysis 228, Nr. 1: 279–308.
Böhm C, Wirth B. . „Mathematik Münster: Dynamik, Geometrie, Struktur. Beispiele einer geometrischen Sichtweise.“ Mitteilungen der Deutschen Mathematiker-Vereinigung 26, Nr. 4.
Benner P, Himpe C, Mitchell T. . ‘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. . ‘Gas Network Benchmark Models.’ InApplications of Differential-Algebraic Equations: Examples and Benchmarks, edited byCampbell S, Ilchmann A, Mehrmann V, Reis T, 171–197. doi: 10.1007/11221_2018_5.
Himpe C. . ‘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, . 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, . doi: 10.11128/arep.55.a55283.
Ohlberger Mario, Rave Stephan, Schindler Felix, Wedemeier Tobias. . ‘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. . ‘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. . ‘Numerical homogenization of H(curl)-problems.’ SIAM J. Numer. Anal. 56, Nr. 3: 1570–1596. doi: 10.1137/17M1133932.
Ranocha H, Öffner P, Sonar T. . ‘Summation-by-Parts and Correction Procedure via Reconstruction.’ InSpectral and High Order Methods for Partial Differential Equations ICOSAHOM 2016, edited byBittencourt ML, Dumont NA, Hesthaven JS, 627–637. Cham: Springer. doi: 10.1007/978-3-319-65870-4_45.
Ranocha H. . ‘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. . ‘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.
Seis, Christian. . ‘Optimal stability estimates for continuity equations.’ Oberwolfach Reports 14, Nr. 1. doi: 10.4171/OWR/2017/7.
Schedensack M. . ‘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.
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. . ‘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. . ‘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. . ‘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. . ‘Joint Denoising and Distortion Correction for Atomic Column Detection in Scanning Transmission Electron Microscopy Images.’ Microscopy and Microanalysis 23(S1): 164–165.
Neugebauer F, Möddel G, Rampp S, Burger M, Wolters C,. . ‘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. . ‘On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion.’ Nonlinear Analysis 159.
H. Egger, J.-F. Pietschmann, M. Schlottbom. . ‘On the uniqueness of nonlinear diffusion coefficients in the presence of lower order terms.’ Inverse Problems 33. doi: 10.1088/1361-6420/aa8cae.
Vorwerk J, Engwer C, Pursiainen S, Wolters CH. . ‘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. . ‘ArbiLoMod: Local Solution Spaces by Random Training in Electrodynamics.’ InModel Reduction of Parametrized Systems, edited byBenner 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, Nüßing A. . ‘Geometric Reconstruction of Implicitly Defined Surfaces and Domains with Topological Guarantees.’ ACM Transactions on Mathematical Software 44, Nr. 2. doi: 10.1145/3104989.
Himpe C, Ohlberger M. . ‘Cross-Gramian-Based Model Reduction: A Comparison.’ InModel Reduction of Parametrized Systems, edited byBenner P, Ohlberger M, Patera A, Rozza G, Urban K, 271–283. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_17.
Ohlberger Mario. . ‘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.): . Model Reduction of Parametrized Systems. 1. Aufl. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8.
Ohlberger M, Rave S. . ‘Localized Reduced Basis Approximation of a Nonlinear Finite Volume Battery Model with Resolved Electrode Geometry.’ InModel Reduction of Parametrized Systems, edited byBenner P., Ohlberger M., Patera A., Rozza G., Urban K., 201–212. Cham: Springer International Publishing. doi: 10.1007/978-3-319-58786-8_13.
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, .
Scheel A, Stevens A. . ‘Wavenumber selection mechanisms in coupled transport equations.’ J. Math. Biol. 2017.
Grosskinsky Stefan, Marahrens Daniel, Stevens Angela. . ‘A Hydrodynamic Limit for Chemotaxis in a given Heterogeneous Environment.’ Vietnam Journal of Mathematics 45, Nr. 1-2: 127–152.
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Grebhahn A, Engwer C, Bolten M, Apel S. . ‘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. . ‘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.
Burger M, DiFrancesco M, Fagioli S, Stevens A. . ‘Sorting phenomena in a mathematical model for two mutually attracting/repelling species.’ SIAM J. Math. Analysis 2017.
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Ranocha H, Öffner P, Sonar T. . ‘Summation-by-parts operators for correction procedure via reconstruction.’ Journal of Computational Physics 311: 299–328. doi: 10.1016/j.jcp.2016.02.009.
Carstensen C., Reddy B., Schedensack M. . ‘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.
Carstensen C., Gallistl D., Schedensack M. . ‘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.
Herrmann M, Mikikits-Leitner A. . ‘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. . ‘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. . ‘Instabilities and oscillations in coagulation equations with kernels of homogeneity one.’ Quarterly of Applied Mathematics 75-1. doi: 10.1090/qam/1454.
Absil P-A, Gousenbourger P-Y, Striewski P, Wirth B. . ‘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. . ‘Differentiable piecewise-Bezier surfaces on Riemannian manifolds.’ SIAM Journal on Imaging Sciences 9, Nr. 4: 1788–1828.
Wirth B. . ‘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. . ‘Protection from septic peritonitis by rapid neutrophil recruitment through omental high endothelial venules.’ Nature Communications 7: 10828.
Lu J, Wirth B, Yang H. . ‘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. . ‘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. . ‘Splines in the space of shells.’ Computer Graphics Forum 35, Nr. 5: 111–120.
Engwer C, Ranner T, Westerheide S. . ‘An unfitted discontinuous Galerkin scheme for conservation laws on evolving surfaces.’InProceedings of ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoké Tatry, Podbanské, Slovakia, March 13-18, 2016, edited byHandlovičová 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. . ‘Advances concerning multiscale methods and uncertainty quantification in EXA-DUNE.’ InSoftware for Exascale Computing - SPPEXA 2013-2015, edited byHans-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. . ‘Hardware-based Efficiency Advances in the EXA-DUNE Project.’ InSoftware for Exascale Computing - SPPEXA 2013-2015, edited byHans-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. . ‘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. . ‘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.
Smetana Kathrin, Patera Anthony T. . ‘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. . ‘Problem adapted hierachical model reduction for the Fokker-Planck equation.’InALGORITMY 2016 Proceedings of contributed papers and posters, edited byHandlovicova Angela, Sevcovic Daniel, 13–22. Bratislava: Slovak University of Technology in Bratislava.
Henning P, Ohlberger M, Verfürth B. . ‘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. . ‘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. . ‘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. . ‘Reduced Basis Methods: Success, Limitations and Future Challenges.’Inroceedings of ALGORITMY 2016, 20th Conference on Scientific Computing, Vysoke Tatry, Podbanske, Slovakia, March 13-18, 2016, edited byA. Handlovičova and D. Sevčovič, 1–12. Bratislava: Publishing House of Slovak University of Technology in Bratislava.
Lehrenfeld C, Reusken A. . ‘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. . ‘Numerical and Experimental Analysis of Local Flow Phenomena in Laminar Taylor Flow in a Square Mini-Channel.’ Physics of Fluids 28, Nr. 1: 012109.
Zeppieri C. I. . ‘Stochastic homogenisation of singularly-perturbed integral functionals.’ Ann. Mat. Pura Appl. 195.
Bevan J J, Zeppieri C I. . ‘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. . ‘A bridging mechanism in the homogenisation of brittle composites with soft inclusions.’ SIAM J. Math. Anal. 48.
Kang K, Stevens A. . ‘Blowup and Global Solutions in a Chemotaxis-Growth System.’ Nonlinear Analysis 2016, Nr. 135: 57–72.
Brinkmann Eva-Maria, Burger Martin, Rasch Julian, Sutour Camille. . ‘Bias-Reduction in Variational Regularization.’ Journal of Mathematical Imaging and Vision Special Issue MIA 2016.
Engwer C, Henning P, M\ralqvist A, Peterseim D. . Efficient implementation of the Localized Orthogonal Decomposition method arXiv, .
Lehrenfeld C, Reusken A. . L2-estimates for a high order unfitted finite element method for elliptic interface problems : arXiv eprints, .
Lehrenfeld C, Reusken A. . ‘Analysis of a high order unfitted finite element method for elliptic interface problems.’ arXiv preprint arXiv:1602.02970 1602.02970.
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Engwer C, Knappitsch M, Surulescu C. . ‘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. . ‘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.
Carstensen C., Gallistl D., Schedensack M. . ‘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. . ‘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.
Herrman M, Matthies K. . ‘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.
Wirth B. . „Nachwuchswissenschaftler in Deutschland - die Sicht eines Rückkehrers.“ Forschung und Lehre 2015, Nr. 5: 365.
Rumpf M, Simon S, Stahn K, Wirth B. . ‘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. . ‘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. . ‘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. . ‘Variational time discretization of geodesic calculus.’ IMA Journal of Numerical Analysis 35, Nr. 3: 1011–1046.
Burger Martin, Elvetun Ole, Schlottbom Matthias. . ‘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., Kaltenbacher B., Neubauer A. . ‘Iterative solutionmethods.’InHandbook of Mathematical Methods in Imaging: Volume 1, Second Edition, edited byScherzer, O, 431–470. Springer New York LLC. doi: 10.1007/978-1-4939-0790-8_9.
Engwer C, Hunt A, Surulescu C. . ‘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. . ‘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. . ‘Algebraic multigrid for discontinuous Galerkin methods using local transformations.’ InProceedings of the 22th Conference on Domain Decomposition Methods, 177–185.: Springer.
Engwer C, Müthing S. . ‘Concepts for flexible parallel Multi-Domain Simulations.’ InProceedings of the 22th Conference on Domain Decomposition Methods.
Engwer C, Hillen T, Knappitsch M, Surulescu C. . ‘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, . doi: 10.14293/P2199-8442.1.SOP-MATH.PSAHPZ.v1.
Himpe C, Ohlberger M. . ‘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, . doi: 10.5281/zenodo.46643.
Himpe C, Ohlberger M. . ‘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 Mario, Smetana Kathrin. . ‘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.
Henning P, Ohlberger M. . ‘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. . ‘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. . ‘Interactive Simulations Using Localized Reduced Basis Methods.’ InIFAC-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. . ‘Uncertainty Quantification for Porous Media Flow Using Multilevel Monte Carlo.’ InProceedings of 10th International Conference on Large-Scale Scientific Computations, Sozopol 2015, edited byLirkov 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. . ‘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. . ‘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. . Numerical methods for kinetic equations (Master's thesis).
Lehrenfeld C, Reusken A. . ‘Finite Element Techniques for the Numerical Simulation of Two-Phase Flows with Mass Transport.’ InComputational Methods for Complex Liquid-Fluid Interfaces, edited byCRC Press, 353–371.
Lehrenfeld C. . ‘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. . 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. . ‘Second-order edge-penalization in the Ambrosio-Tortorelli functional.’ Multiscale Model. Simul. 13, Nr. 4: 1354–1389.
Müller Stefan, Scardia Lucia, Zeppieri Caterina Ida. . ‘Gradient theory for geometrically nonlinear plasticity via the homogenization of dislocations.’ InAnalysis and Computation of Microstructure in Finite Plasticity, edited byConti Sergio, Hackl Klaus, 175–204.
Fuhrmann J, Stevens A. . ‘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.): . Mathematical Methods in the Applied Sciences
Special Issue: Nonlinear Phenomena in Biology, Physics and Mechanics
Volume 38, Issue 16.
Stevens Angela. . „Mathematik und Biowissenschaften.“ In Studien- und Berufsplaner Mathematik, herausgegeben von Springer Spektrum, 124 – 127.
Burger M, Dirks H, Frerking L. . ‘On Optical Flow Models for Variational Motion Estimation.’ Radon Book Series 2016.
Barchiesi M, Brancolini A, Julin V. . ‘Sharp dimension free quantitative estimates for the Gaussian isoperimetric inequality.’ Annals of Probability 2015.
Engwer C, Gräser C, Müthing S, Sander O. . The interface for functions in the dune-functions module arXiv, .
Engwer C, Schumacher L. . ‘Phase Field Approach to Fluid Filled Fractures using Discontinuous Galerkin Methods.’ Mathematics and Computers in Simulation -.
Engwer C, Vorwerk J, Ludewig J, Wolters C. . ‘A Discontinuous Galerkin Methods for the EEG Forward Problem.’ arXiv 2015.
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Xu Q, Sawatzky A, Anastasio M, Schirra C. . ‘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. . ‘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.
Gallistl D., Schedensack M., Stevenson R. . ‘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.
Herrmann M, Niethammer B, Velázquez JJL. . ‘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.
Heeren B, Rumpf M, Schröder P, Wardetzky M, Wirth B. . ‘Exploring the geometry of the space of shells.’ Computer Graphics Forum 33, Nr. 5.
Kohn Robert V., Wirth Benedikt. . ‘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. . ‘Conditions for choking in a poroelastic flow model.’ The IMA Journal of Applied Mathematics 79, Nr. 2: 254–273.
Elsey M, Wirth B. . ‘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.,. . ‘Color Bregman TV.’ SIAM Journal on Imaging Sciences 7, Nr. 4: 2806. doi: 10.1137/130943388.
Suhr,Sebastian ,Tenbrinck,Danie ,Burger,Martin ,Modersitzki,Jan.,. . ‘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.,. . ‘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.,. . ‘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.,. . ‘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.,. . ‘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,. . ‘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,. . ‘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.,. . ‘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.
Vorwerk J, Wagner S, Aydin Ü, Engwer C, Wolters C. . ‘New Methodology for the Forward Problem in EEG/MEG Source Analysis and in Brain Stimulation.’ Biomedical Engineering / Biomedizinische Technik 59: 657.
Engwer C. . ‘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. . ‘EXA-DUNE: Flexible PDE Solvers, Numerical Methods and Applications.’ InEuro-Par 2014: Parallel Processing Workshops, edited byLopes 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. . Influence of cell shape, inhomogeneities and diffusion barriers in cell polarization models , . doi: 10.1088/1478-3975/12/6/066014.
Engwer C, Kunisch K, Nagaiah C. . ‘Boundary control of bidomainequations with state dependentswitching source functions in theionic model.’ Journal of Computational Physics 273: 227–242.
Engwer C, Fahlke J. . ‘Scalable hybrid parallelization strategies for the DUNE grid interface.’ InNumerical Mathematics and Advanced Applications: Proceedings of ENUMATH 2013, 583–590. doi: 10.1007/978-3-319-10705-9_57.
Engwer C, Westerheide S. . ‘Heterogenous coupling for implicitly described domains.’ InDomain Decomposition Methods in Science and Engineering XXI, edited byErhel 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. . ‘A Case Study on a Quality Assurance Process for a Scientific Framework.’ IEEE Computing in Science and Engineering 16, Nr. 3: 58–66.
Himpe C, Ohlberger M. . ‘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. . ‘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. . ‘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, Smetana K. . ‘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.
Fuhrmann J, Ohlberger M, Rohde C. . 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. . 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.
Ohlberger M, Rave S, Schmidt S, Zhang S. . ‘A Model Reduction Framework for Efficient Simulation of Li-Ion Batteries.’ InFinite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, edited byFuhrmann J, Ohlberger M, Rohde C, 695–702.: Springer. doi: 10.1007/978-3-319-05591-6_69.
Henning Patrick, Ohlberger Mario, Schweizer Benn. . ‘An adaptive Multiscale Finite Element Method.’ Multiscale Mod. Simul. 12, Nr. 3: 1078–1107. doi: 10.1137/120886856.
Mikula K, Ohlberger M, Urban J. . ‘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. . ‘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. . ‘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. . ‘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. . ‘Traveling waves emerging in a diffusive moving filament system.’ InManaging complexity, reducing perplexity, Modeling biological systems, edited byAjmone-Marsan G, Delitala M, 91–99. Springer VDI Verlag.
Stevens A. . „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. . ‘Proximal ADMM for Multi-Channel Image Reconstruction in Spectral X-ray CT.’ IEEE Transactions on Medical Imaging -.
Sawatzky A. . ‘Performance of First-Order Algorithms for TV Penalized Weighted Least-Squares Denoising Problem.’ Contributed to the ICISP 2014, Cherbourg, Normandy, France.
Sawatzky A, Brune C, Kösters T, Wübbeling F, Burger M. . ‘EM-TV Methods for Inverse Problems with Poisson Noise.’ InLevel Set and PDE Based Reconstruction Methods in Imaging, edited byBurger M, Osher S, 71–142. doi: 10.1007/978-3-319-01712-9_2.
Burger M, Dirks H, Müller J. . ‘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.
Carstensen C., Gallistl D., Schedensack M. . ‘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. . ‘Quasi-optimal adaptive pseudostress approximation of the Stokes equations.’ SIAM Journal on Numerical Analysis 51, Nr. 3: 1715–1734. doi: 10.1137/110852346.
Bredies K, Pock T, Wirth B. . ‘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. . ‘Segmentation of Crystal Defects via Local Analysis of Crystal Distortion.’ InProceedings of the 8'th International Conference on Computer Vision Theory and Applications (VISAPP'13).
Elsey M, Wirth B. . ‘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. . ‘Discrete geodesic calculus in the space of viscous fluidic objects.’ SIAM Journal on Imaging Sciences 6, Nr. 4.
Franken M, Rumpf M, Wirth B. . ‘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. . ‘Discrete geodesic regression in shape space.’ In9th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition.
Burger,Martin,Di Francesco,Marco ,Markowich,Peter ,Wolfram,Marie Therese,. . ‘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.
Sawatzky Alex, Tenbrinck Daniel, Jiang Xiaoyi, Burger Martin. . ‘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. . ‘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. . ‘Design and Rationale of a Quality Assurance Process for a Scientific Framework.’ InProceeding 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. . ‘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. . ‘A Unified Software Framework for Empirical Gramians.’ Journal of Mathematics 2013, Nr. 2013: 1–6. doi: 10.1155/2013/365909.
Ohlberger M, Schaefer M. . ‘Error Control Based Model Reduction for Parameter Optimization of Elliptic Homogenization Problems.’ InProceedings 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. . ‘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.
Schöberl J, Lehrenfeld C. . ‘Domain Decomposition Preconditioning for High Order Hybrid Discontinuous Galerkin Methods on Tetrahedral Meshes.’ InAdvanced Finite Element Methods and Applications, edited byApel Thomas, Steinbach Olaf, 27–56. Springer VDI Verlag.
Lehrenfeld C, Reusken A. . ‘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.
Ansini N, Dal Maso G, Zeppieri C.I. . ‘Γ-convergence and H-convergence of linear elliptic operators.’ J. Math. Pures Appl. 99: 321–329.
Primi I, Stevens A, Velázquez JJL. . ‘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. . ‘An explicit update scheme for inverse parameter and interface estimation of piecewise constant coefficients in linear elliptic PDEs.’ SIAM Journal on Scientific Computing 35.
Veröffentlicht
Drohmann Martin , Haasdonk Bernard, Ohlberger, Mario. . ‘Reduced Basis Model Reduction of Parametrized Two-Phase Flow in Porous Media.’ In7th Vienna International Conference on Mathematical Modelling, 722–727. doi: 10.3182/20120215-3-AT-3016.00128.
Lucka Felix, Pursiainen Sampsa, Burger Martin, Wolters Carsten H. . ‘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. . ‘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. . ‘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. . ‘Comparison results of finite element methods for the Poisson model problem.’ SIAM J. Numer. Anal. 50, Nr. 6: 2803–2823. doi: 10.1137/110845707.
Sobey I, Eisenträger A, Wirth B, Czosnyka M. . ‘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. . ‘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. . ‘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. . ‘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.
Gigengack F., Ruthotto L., Kosters T., Jiang X., Modersitzki J., Burger M., Wolters C.H., Schafers K.P. . ‘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., Kosters T., Jiang X., Modersitzki J., Burger M., Hermann S., Schafers K.P. . ‘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. . ‘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. . ‘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. . ‘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. . ‘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. . ‘Diffeomorphic susceptibility artifact correction of diffusion-weighted magnetic resonance images.’ Physics in Medicine and Biology 57, Nr. 18: 5715–31.
Lanfer B, Scherg M, Dannhauer M, Knösche TR, Burger M, Wolters CH. . ‘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. . ‘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. . ‘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.
Remmel H, Paech B, Engwer C, Bastian P. . ‘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.
Bernard-Champmartin A, Deriaz E, Hoch P, Samba G, Schaefer M. . ‘Extension of centered hydrodynamical schemes to unstructured deforming conical meshes: the case of circles.’ InCEMRACS'11: Multiscale Coupling of Complex Models in Scientific Computing, 135–162.: ESAIM: Proceedings. doi: 10.1051/proc/201238008.
Ohlberger M. . ‘Error control based model reduction for multiscale problems.’InProceedings of Algoritmy 2012, Conference on Scientific Computing, Vysoke Tatry, Podbanske, September 9-14, 2012, edited bySlovak University of Technology in Bratislava, Publishing House of STU, 1–10.
Lehrenfeld Christoph, Reusken Arnold. . ‘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. . ‘Computer Algebra meets Finite Elements: an Efficient Implementation for Maxwells Equations.’ InNumerical and Symbolic Scientific Computing: Progress and Prospects, edited byUlrich Langer PP, 105–122. Springer VDI Verlag. doi: 10.1007/978-3-7091-0794-2_6.
Scardia L, Zeppieri C.I. . ‘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.,. . ‘Asymptotic analysis of nonsymmetric linear operators via Γ-convergence.’ SIAM Journal on Mathematical Analysis 44, Nr. 3: 1617–1635. doi: 10.1137/110834330.
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Kelkel J, Surulescu C. . ‘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. . ‘A simplified pipeline for motion correction in dual gated cardiac PET.’ Contributed to the Bildverarbeitung für die Medizin, Berlin.
Veröffentlicht
Brune C, Sawatzky A, Burger M. . ‘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. . ‘Reconstruction of short time PET scans using Bregman iterations.’ Contributed to the IEEE NSS/MIC 2011, Valencia, Spain. doi: 10.1109/NSSMIC.2011.6153884.
Benning M, Burger M. . ‘Error estimates for general fidelities.’ El. Trans. Numer. Anal. 38: 44–68.
Drohmann M, Haasdonk B, Ohlberger M. . ‘Adaptive Reduced Basis Methods for Nonlinear Convection-Diffusion Equations.’ InFinite Volumes for Complex Applications VI - Problems & Perspectives, edited byFort 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. . ‘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. . ‘On some models for cancer cell migration
through tissue.’ Mathematical Biosciences and Engineering 8: 575–589.
Surulescu C, Surulescu N. . ‘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. . ‘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. . ‘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.
Wirth B, Warnecke M, Schmenk B, Seide G, Gries T. . ‘Filament breaches during air-gap spinning.’ Chemical Fibers International 61: 38–39.
Wirth B, Gerhard J, Marquardt W. . ‘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. . ‘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. . ‘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. . ‘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. . ‘Variational methods in shape analysis.’ InHandbook of Mathematical Methods in Imaging, edited byScherzer O, 1363–1401. Springer VDI Verlag. doi: 10.1007/978-0-387-92920-0_31.
Burger M, Matevosyan N, Wolfram M. . ‘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. . ‘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. . ‘Continuous limit of a crowd motion and herding model: Analysis and numerical simulations.’ Kinetic and Related Methods 4: 1025–1047.
Sanchez V, Wistuba J, Wubbeling F, Burger M, Schlatt S, Mallidis C. . ‘Detection of Sperm DNA damage by Raman microspectroscopy.’. doi: 10.1016/j.fertnstert.2011.07.900.
Heins P. . Sparse Model-Based Reconstruction in Dynamic Positron Emission Tomography.
Capasso Vincenzo, Engbers Ralf, La Torre Davide. . ‘Population dynamics in a spatial Solow model with a convex-concave production function.’ InMathematical and Statistical Methods for Actuarial Sciences and Finance, edited byPerna Cira, Sibillo Marilena.: Springer.
Remmel H, Paech B, Engwer C, Bastian P. . ‘Supporting the Testing of Scientific Frameworks with Software Product Line Engineering: A Proposed Approach.’ InProceeding of the 4th international workshop on Software engineering for computational science and engineering, 10–18. doi: 10.1145/1985782.1985785.
Ohlberger M, Smetana K. . ‘A new Hierarchical Model Reduction-Reduced Basis technique for advection-diffusion-reaction problems.’ InProceedings of the V International Conference on Adaptive Modeling and Simulation (ADMOS 2011) held in Paris, France, 6-8 June 2011, edited byAubry D. et al., 343–354.: International Center for Numerical Methods in Engineering (CIMNE), Barcelona.
Haasdonk B, Dihlmann M, Ohlberger M. . ‘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. . ‘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. . ‘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. . ‘Inflow-Implicit/Outflow-Explicit scheme for solving advection equations.’ InFinite Volumes for Complex Applications VI - Problems & Perspectives, edited byFort J. et al., 683––691.: Springer. doi: 10.1007/978-3-642-20671-9_72.
Lehrenfeld Christoph. . ‘Nitsche-XFEM for a Transport Problem in Two- Phase Incompressible Flows.’ InProc. Appl. Math. Mech., 613–614.: Wiley. doi: 10.1002/pamm.201110296.
Cicalese M, Spadaro E.N., Zeppieri C.I. . ‘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. . „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. . ‘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. . ‘Origins of Theoretical Biology.’ European Communications in Mathematical and Theoretical Biology 2011, Nr. 14: 94–103.
Eingereicht / In Begutachtung
Märkl C, Surulescu C. . Mathematical analysis and numerical simulations
for a system modeling acid-mediated tumor cell invasion , .
Winkel C, Neumann S, Surulescu C, Scheurich P. . A minimal
mathematical model for the dynamics of (TNF-) receptor signaling , .
Meral G., Surulescu C. . Mathematical modeling, analysis and numerical
simulations for the influence of heat shock proteins on tumor invasion , .
Veröffentlicht
Sawatzky A, Burger M. . ‘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. . ‘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. . ‘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. . Improved Dynamic PET via Kinetic Models and Operator Splitting.
Drohmann M, Haasdonk B, Ohlberger M. . Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation , .
Mallidis C, Wistuba J, Bleisteiner B, Gross P, Wubbeling F, Fallnich C, Burger M, Schlatt S. . ‘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. . ‘A continuity equation based optical flow method for cardiac motion correction in 3D PET data.’InMedical 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 byHongen 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. . ‘On a stochastic reaction-diffusion system modeling
pattern formation on seashells.’ JMB 60: 765–796.
Surulescu C. . ‘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. . ‘A Nonparametric Approach to Cell Dispersal.’ Int. J. of Biomathematics and Biostatistics 1: 109–128.
Sobey I, Eisenträger A, Wirth B, Czosnyka M. . ‘Multi-fluid poro-elastic modelling of the CSF infusion test.’ In6th World Congress of Biomechanics (WCB 2010), IFMBE Proceedings, 362–365.
Moeller M, Burger M, Dieterich P, Schwab A. . A Framework for Automated Cell Tracking in Phase Contrast Microscopic Videos based on Normal Velocities , .
Wolfram M, Burger M, Siwy Z. . ‘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. . ‘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. . ‘A mixed finite element method for nonlinear diffusion equations.’ Kinetic and Related Methods 3: 59–83.
Zhang X, Burger M, Osher S. . ‘A unified primal-dual algorithm framework based on Bregman iteration.’ J Sci Comp 3.
Burger M, Carrillo J, Wolfram MT. . ‘A mixed finite element method for nonlinear diffusion equations.’ Kinetic and Related Methods 3: 59–83.
Zhang X, Burger M, Bresson X, Osher S. . ‘Bregmanized nonlocal regularization for deconvolution and sparsereconstruction.’ SIAM Journal on Imaging Sciences 3, Nr. 3: 253––276. doi: 10.1137/090746379.
Capasso Vincenzo, Engbers Ralf, La Torre Davide. . ‘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.
Dedner A, Klöfkorn R, Nolte M, Ohlberger M. . ‘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. . ‘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. . ‘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. . A New Inflow-Implicit/Outflow-Explicit Finite Volume Method for Solving Variable Velocity Advection Equations , .
Ohlberger M, Smetana K. . A new problem adapted hierarchical model reduction technique based on reduced basis methods and dimensional splitting , .
Dal Maso G, Zeppieri C.I. . ‘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. . ‘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. . ‘Topological flow structure in a mathematical model for rotation-mediated cell aggregation.’ InTopological Methods in Data Analysis and Visualization - Theory, Algorithms, and Applications, edited byPascucci 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. . ‘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. . ‘An Unfitted Discontinuous Galerkin Finite Element Method for Pore Scale Simulations.’ In9th International Workshop on State-of-the-Art in Scientific and Parallel Computing.: Springer.
Brune C, Sawatzky A, Burger M. . ‘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. . ‘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. . ‘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. . ‘Reduced Basis Method for Finite Volume Approximation of Evolution Equations on Parametrized Geometries.’ Contributed to the Proceedings of ALGORITMY 2009.
Drohmann M. . Reduzierte Basis Methoden für ungesättigte Grundwasserströmungen.
Schellmann M, Gorlatch S, Meiländer D, Kösters T, Wübbeling F, Burger M. . ‘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. . ‘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. . ‘List mode-driven cardiac and respiratory gating.’ PET. J. Nucl. Med. 50: 674–681.
Jentzen A, Kloeden PE, Neuenkirch A. . ‘Pathwise convergence of numerical schemes for random and stochastic differential equations.’ InFoundations of computational mathematics, Hong Kong 2008, edited byCucker F, Pinkus A, Todd MJ, 140–161. Cambridge University Press. doi: 10.1017/CBO9781139107068.006.
Wirth B, Sobey I. . ‘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. . ‘Geodesics in Shape Space via Variational Time Discretization.’ In7th 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. . ‘An Elasticity Approach to Principal Modes of Shape Variation.’ InSecond International Conference on Scale Space Methods and Variational Methods in Computer Vision, 709–720.
Rumpf M, Wirth B. . ‘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. . ‘Cahn-Hilliard inpainting and a generalization for grayvalue image.’ SIAM J. Imag. Sci. 3: 3.
Burger M, Kaltenbacher B, Neubauer A. . ‘Iterative solution methods.’ InHandbook of Mathematical Methods in Imaging, edited byScherzer O, .. Springer VDI Verlag.
Steinstraeter O, Sillekens S, Junghoefer M, Burger M, Wolters C. . ‘Sensitivity of beamformer source analysis to deficiencies in forward modeling.’ Human Brain Mapping 31: 1907–1927.
Bachmayr M, Burger M. . ‘Iterative total variation schemes for nonlinear inverse problems.’ Inverse Problems 25.
Bastian P, Engwer C. . ‘An unfitted finite element method using discontinuous Galerkin.’ International Journal for Numerical Methods in Engineering 79, Nr. 12: 1557–1576. doi: 10.1002/nme.2631.
Ohlberger M. . ‘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. . A-posteriori error estimate for a heterogeneous multiscale finite element method for advection-diffusion problems with rapidly oscillating coefficients and large expected drift. , .
Haasdonk B, Ohlberger M. . ‘Efficient reduced models for parametrized dynamical systems by offline/online decomposition.’.
Haasdonk B, Ohlberger M. . ‘Space-adaptive reduced basis simulation for time-dependent problems.’.
Haasdonk B, Ohlberger M. . ‘Reduced Basis Method for Explicit Finite Volume Approximations of Nonlinear Conservation Laws.’ InHyperbolic problems: theory, numerics and applications. Providence, RI: American Mathematical Society.
Henning P, Ohlberger M. . ‘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. . ‘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. . ‘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. . ‘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. . ‘Simultaneous finite time blow-up in a two species model for chemotaxis.’ Analysis 29, Nr. 3: 317–338. doi: 10.1524/anly.2009.1029.
Dkhil F, Stevens A. . ‘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.): . 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.
Sawatzky A, Brune C, Wübbeling F, Kösters T, Schäfers K, Burger M. . ‘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. . Mathematical Models for Pedestrian Motion.
Busby M, Blum C, Tibben M, Fibikar S, Calzaferri G, Subramaniam V, De Cola L. . ‘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. . „aaa Kantenerkennung im optischen Fluss als mehrdimensionales Steuerungsproblem.“. BTU Cottbus.
Dawood M, Kösters T, Fieseler M, Büther F, Jiang X, Wübbeling F, Schäfers KP. . ‘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. . ‘Multi-scale optical flow for respiratory motion correction in cardiac PET/CT.’ Contributed to the MICCAI, New York.
Surulescu C. . ‘On the Time-Dependent Motion of a Viscous Incompressible
Fluid Through a Tube with Compliant Walls.’ Studia UBB Mathem LIII: 77–95.
Wirth B, Sobey I. . ‘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. . ‘A Globally Covergent Gummel Map for Optimal Dopant Profiling.’ Math. Models Meth. Appl. Sci. 19.
Burger M. . ‘A note on sparse reconstruction methods.’ InJ Phys Conference Series, edited byUhlmann G, 012002.
Burger M, Dolak-Struss Y, Schmeiser C. . ‘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. . ‘Discovering point sources in unknown environments.’ Contributed to the WAFR 2008.
Burger M. . ‘Finite element approximation of elliptic partial differential equations on implicit surfaces.’ Comp. Vis. Sci. .
Burger M, Stöcker C, Voigt A. . ‘Finite element based level set methods for higher order flows.’ J. Sci. Comp. 35: 77–98.
Burger M, Di Francesco M. . ‘Large time behavior of nonlocal aggregation models with nonlinear diffusion.’ Networks and Heterogeneous Media 3: 749–785.
Burger M, Pinnau R, Wolfram M. . ‘On-/Off-State design of semiconductor doping profiles.’ Commun. Math. Sci. 6: 1021–1041.
Favaro P, Soatto S, Burger M, Osher S. . ‘Shape from Defocus via Diffusion.’ IEEE Transactions PAMI 30: 518–531.
Burger M, Chu S, Markowich P, Schönlieb C. . ‘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. . ‘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. . ‘A generalization of Cahn-Hilliard inpainting for gray-value images.’ InPAMM Special Issue: ICIAM 07, 1041905–1041906.
Burger M, Chu S, Markowich P, Schönlieb C. . ‘Cahn-Hilliard inpainting and the Willmore functional.’ InPAMM Special Issue: ICIAM 07, 1011209–1011210.
Arning K, Burger M, Eisenberg B, Engl H, He L. . ‘Inverse problems related to ion channels.’ InPAMM Special Issue: ICIAM 07, 1120801–1120802.
Bastian P, Blatt M, Dedner A, Engwer C, Rober Klöfkorn, Kornhuber R, Ohlberger M, Sander O. . ‘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. . ‘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. . ‘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. . ‘Modeling and Simulation of Hairy Root Growth.’ InMathematics-Key Technology for the Future: Joint Projects Between Universities and Industry 2004-2007, edited byKrebs 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. . ‘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. . ‘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. . ‘Parallel adaptive simulation of PEM fuel cells.’ InMathematics – Key Technology for the Future, edited byKrebs, Jäger, 235–249.
Haasdonk B, Ohlberger M. . ‘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.
Haasdonk B, Ohlberger M, Rozza G. . ‘A reduced basis method for evolution schemes with parameter-dependent explicit operators.’ Electronic transactions on numerical analysis 32: 145––161.
Stevens A, Velázquez JJL. . ‘Partial differential equations and non-diffusive structures.’ Nonlinearity 21, Nr. 12: T283–T289. doi: 10.1088/0951-7715/21/12/T04.
Sawatzky A. . Reflektoren in der Ultraschall-Tomographie.
Benning M, Lee E, Pao H, Yacoubou-Djima K. . Statistical Filtering of Global Illumination for Computer Graphics , .
Brune C. . Berechnung des optischen Flusses und Kantenerkennung mit Optimierungsmethoden.
Surulescu C. . ‘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. . ‘Fluid Flows and Free Boundaries.’ InReactive Flows, Diffusion and Transport, edited byJäger W, Rannacher R and Warnatz J.. Springer VDI Verlag.
Haasdonk B, Ohlberger M. . ‘Basis Construction for Reduced Basis Methods by Adaptive Parameter Grids.’.
Fuhrmann J, Haasdonk B, Holzbecher E, Ohlberger M. . ‘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. . ‘Parallel and adaptive simulaiton of fuel cells in 3D.’.
Dedner A, Makridakis C, Ohlberger M. . ‘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. . ‘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. . Die Heterogene Mehrskalenmethode f\�r elliptische Differentialgleichungen in perforierten Gebieten.
Ansini N, Babadjian J.F., Zeppieri C.I. . ‘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. . ‘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. . ‘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.
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,. . ‘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. . ‘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. . ‘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. . ‘A Note on an Individual Bioequivalence Setting.’ J. Inequal. Pure Appl. Math. 7: 8.
Surulescu C, Surulescu N. . ‘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. . ‘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.
Sobey I, Wirth B. . ‘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. . ‘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. . ‘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. . ‘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. . ‘Cartoon extraction based on anisotropic image classification.’ Contributed to the Vision, Modeling, and Visualization Proceedings.
. Deterministic and Stochastic Modelling in Biomedicine, Economics, and Industry.
He L, Burger M, Osher S. . ‘Iterative total variation regularization with non-quadratic fidelity.’ J. Math. Imaging Vision 26: 167–184.
Burger M, Capasso V, Pizzocchero L. . ‘Mesoscale averaging of nucleation and growth processes.’ SIAM Multiscale Mod. Simul. 5: 564 – 592.
Burger M, Gilboa G, Osher S, Xu J. . ‘Nonlinear inverse scale space methods.’ Commun. Math. Sci. 4: 179–212.
Burger M, Capasso V, Morale D. . ‘On an aggregation model with long and short range interactions.’ Nonlinear Analysis: Real World Applications 8: 939–958.
Burger M, Hinze M, Pinnau R. . ‘Optimization models for semiconductor dopant profiling.’ InTransport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems, edited byCercignani C, Gabetta E, 91–116. Boston: Birkhäuser.
Burger M, Stainko R. . ‘Phase-field relaxation of topology optimization with local stress constraints,.’ SIAM J. Control. Optim. 45: 1447–1466.
Su B, Burger M. . Weak solutions of a polymer crystal growth model , .
Burger M. . ‘Surface diffusion including adatoms.’ Comm. Math. Sci. 4: 1–51.
Burger M, DiFrancesco M, Dolak-Struss Y. . ‘The Keller-Segel model for chemotaxis: linear vs. nonlinear diffusion.’ SIAM J. Math. Anal. 38: 1288–1315.
Bastian P, Blatt M, Engwer C, Dedner A, Klöfkorn R, Kuttanikkad SP, Ohlberger M, Sander O. . ‘The Distributed and Unified Numerics Environment (DUNE).’ InProc. of the 19th Symposium on Simulation Technique in Hannover, September 12 - 14.
Burri A, Dedner A, Diehl D, Klöfkorn R, Ohlberger M. . ‘A general object oriented framework for discretizing nonlinear evolution equations.’, 93.
Burri A, Dedner A, Klöfkorn R, Ohlberger M. . ‘An efficient implementation of an adaptive and parallel grid in DUNE.’, 91.
Haasdonk B, Ohlberger M. . Reduced Basis Method for Finite Volume Approximations of Parametrized Evolution Equations , .
Ohlberger M, Vovelle J. . ‘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. . ‘Traveling wave speeds of nonlocally perturbed reaction diffusion equations.’ Asymptotic Analysis 46, Nr. 1: 81–91.
Hwang HJ, Kang K, Stevens A. . ‘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.): . 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.
Veröffentlicht
Natterer F, Wubbeling F. . ‘Marching schemes for inverse acoustic scattering problems.’ Numerische Mathematik 100, Nr. 4: 697–710. doi: 10.1007/s00211-004-0580-3.
Burger M. . ‘A model hierarchy for surface diffusion: the small slope case.’ Contributed to the 5th MATHMOD, Vienna.
Burger M, Osher S. . ‘A survey on level set methods for inverse problems and optimal design.’ European J. Appl. Math. 16: 263–301.
Burger M, Hofinger A. . ‘Greedy algorithms for neural network training with data noise.’ Computing 74: 1–22.
Wolfram M, Burger M. . ‘Inverse dopant profiling for highly doped semiconductor devices.’ Contributed to the 5th MATHMOD, Vienna.
Burger M, Gilboa G, Osher S, Xu J. . ‘Nonlinear inverse scale space methods for image restoration.’ Contributed to the Variational and Level Set Methods 2005.
Burger M. . ‘Numerical simulation of anisotropic surface diffusion with curvature-dependent energy.’ J. Comp. Phys. 203: 602–625.
Burger M, Hintermueller M. . ‘Projected gradient flows for BV / level set relaxation.’ PAMM 5, Nr. PAMM: 11–14.
Burger M, Gu H. . ‘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. . ‘An iterative regularization method for total variation based image restoration.’ SIAM Multiscale Modelling and Simulation 4: 460–489.
Bastian P, Engwer C. . ‘Solving partial differential equations in complicated domains.’ Oberwolfach Reports 4.
Dedner A, Makridakis C, Ohlberger M. . ‘A new stable discontinuous Galerkin approximation for non-linear conservation laws on adaptively refined grids.’, 1095 – 1099.
Ohlberger M. . ‘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. . ‘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. . ‘Towards a unified framework for scientific computing.’, 167 – 174.
Ohlberger M. . ‘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. . ‘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 H J, Kang K, Stevens A. . ‘Global solutions of nonlinear transport equations for chemosensitive movement.’ SIAM Journal on Mathematical Analysis 36, Nr. 4: 1177–1199. doi: 10.1137/S0036141003431888.
Eingereicht / In Begutachtung
Surulescu C. . The Time Dependent Motion of a Navier-Stokes Fluid Through a
Vessel With an Elastic Cover , .
Lunkenheimer PP, Redmann K, Florek J, Fassnacht U, Cryer CW, Wubbeling F, Niederer P. . ‘The forces generated within the musculature of the left ventricular wall.’ Heart 90, Nr. 2: 200–207. doi: 10.1136/hrt.2003.011650.
Burger M. . ‘Growth of multiple crystals in polymer melts.’ European J. Appl. Math. 15: 347–363.
Burger M, Hackl B, Ring W. . ‘Incorporating topological derivatives into level set methods.’ J. Comp. Phys. 194: 344–362.
Burger M, Osher S, Yablonovitch E. . ‘Inverse problem techniques for the design of photonic crystals.’ IEICE Transactions on Electronics 87 C: 258–265.
Ben Ameur H, Burger M, Hackl B. . ‘Level set methods for geometric inverse problems in linear elasticity.’ Inverse Problems 20: 673–696.
Burger M. . ‘Levenberg-Marquardt level set methods for inverse obstacle problems.’ Inverse Problems 20: 673–696.
Burger M, Engl H, Leitao A, Markowich P. . ‘On inverse problems for semiconductor equations.’ Milan J. Math. 72: 273–314.
Burger M, Capasso V, Micheletti A. . ‘Optimal control of polymer morphologies.’ J. Eng. Math. 49: 339–358.
Favaro P, Burger M, Soatto S. . ‘Scene and motion reconstruction from defocused and motion blurred images via anisotropic diffusion.’ Contributed to the ECCV.
Burger M, Osher S. . ‘Convergence rates of convex variational regularization.’ Inverse Problems 20: 1411–1421.
Bastian P, Droske M, Engwer C, Klöfkorn R, Neubauer T, Ohlberger M, Rumpf M. . ‘Towards a Unified Framework for Scientific Computing.’ InProceedings of the 15th Conference on Domain Decomposition Methods. doi: 10.1007/3-540-26825-1_13.
Barth T, Ohlberger M. . ‘Finite volume methods: foundation and analysis.’, 439 –474.
Ohlberger M. . ‘Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media.’ Comp. Vis. Sci. 7, Nr. 1: 41–51.
Horstmann Dirk, Stevens Angela. . ‘A constructive approach to traveling waves in chemotaxis.’ J. Nonlinear Sci. 14, no. 1: 1 – 25.
Lunkenheimer PP, Redmann K, Kimaun D, Cryer CW, Wubbeling F, Konertz W, Zytowsky A, Hotz H, Ho SY, Anderson RH. . ‘A critical evaluation of results of partial left ventriculectomy.’ Journal of Cardiac Surgery 18, Nr. 3: 225–235. doi: 10.1046/j.1540-8191.2003.02026.x.
Lunkenheimer PP, Redmann K, Cryer CW, Wubbeling F, Konertz W, Batista RJV, Ho SY, Anderson RH. . ‘The relationship between structure and function: why does reshaping the left ventricle surgically not always result in functional improvement?’ Computers in Biology and Medicine 33, Nr. 3: 185–196. doi: 10.1016/S0010-4825(02)00085-9.
Burger M, Pinnau R. . ‘Fast optimal design of semiconductor devices.’ SIAM J. Appl. Math. 64: 108–126.
Burger M. . ‘Growth and impingement in polymer melts.’ Contributed to the FBP 2002, Trento.
Burger M, Markowich P. . ‘Model reduction for semiconductor inverse dopant profiling.’ Contributed to the 4th IMACS Symposium on Mathematical Modelling, Wien, Österreich.
Burger M, Markowich P. . ‘Model reduction for semiconductor inverse dopant profiling.’ InProceedings of the 4th IMACS Symposium on Mathematical Modelling, edited byTroch I, Breitenecker F.
Burger M. . ‘A framework for the construction of level set methods for shape optimization and reconstruction.’ Interfaces and Free Boundaries 5: 301–329.
Engwer C. . Direkte Simulation von Transportprozessen im Boden zur Bestimmung makroskopischer Parameter.
Kröner D, Küther M, Ohlberger M, Rohde C. . ‘A posteriori error estimates and adaptive methods for hyperbolic and convection dominates parabolic conservation laws.’, 289 – 306.
Küther M, Ohlberger M. . ‘Adaptive second order central schemes on unstructured staggered grids.’.
Haasdonk B, Ohlberger M, Rumpf M, Schmidt A, Siebert K. . ‘Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations.’ Computing 70, Nr. Computing: 181––204.
Burger M, Neubauer A. . ‘Analysis of Tikhonov regularization for function approximation by neural networks.’ Neural Networks 16: 79–90.
Haslinger J, Bodenhofer U, Burger M. . ‘Data-Driven construction of Sugeno controllers: analytical aspects and new numerical methods.’ Contributed to the 9th IFSA World Congress and 20th NAFIPS International Conference, Vancouver.
Burger M, Engl H, Markowich P. . ‘Inverse doping problems for semiconductor devices.’ Contributed to the Recent Progress in Computational and Applied PDEs.
Burger M, Mühlhuber W. . ‘Iterative regularization of parameter identification problems by SQP methods.’ Inverse Problems 18: 943–970.
Burger M, Capasso V, Micheletti A. . ‘Mathematical modelling of the crystallization process of polymers.’ Contributed to the 5th Hellenic Conference on Computer Mathematics and its Applications, Athens.
Capasso V, Burger M, Micheletti A, Salani C. . ‘Mathematical models for polymer crystallization processes.’ InMathematical modelling for polymer industry, edited byCapasso V, 167–242. Springer VDI Verlag.
Burger M, Capasso V, Eder G. . ‘Modelling crystallization of polymers in temperature fields.’ ZAMM 82: 51–63.
Burger M, Capasso V, Salani C. . ‘Modelling multi-dimensional crystallization of polymers in interaction with heat transfer.’ Nonlinear Analysis: Real World Applications 3: 139–160.
Burger M, Haslinger J, Engl H, Bodenhofer U. . ‘Regularized data-driven construction of fuzzy controllers.’ J. Inverse Ill-Posed Problems 10: 319–344.
Haslinger J, Bodenhofer U, Burger M. . ‘Tuning of fuzzy systems as an ill-posed problem.’ Contributed to the ECMI 2000, Palermo.
Haslinger J, Bodenhofer U, Burger M. . ‘Tuning of fuzzy systems as an ill-posed problem.’ Contributed to the ECMI 2000, Palermo.
Herbin R, Ohlberger M. . ‘A posteriori error estimate for finite volume approximations of convection diffusion problems.’.
Ohlberger M, Rohde C. . ‘Adaptive finite volume approximations for weakly coupled convection dominated parabolic systems.’ IMA J. Numer. Anal. 22, Nr. 2: 253 –280.
Bürkle D, Ohlberger M. . ‘Adaptive finite volume methods for displacement problems in porous media.’ Comp. Vis. Sci. 5, Nr. 2: 95 – 106.
Klöfkorn R, Kröner D, Ohlberger M. . ‘Local adaptive methods for convection dominated problems.’ International Journal for Numerical Methods in Fluids 40, Nr. 1-2: 79 – 91.
Karlsen KH, Ohlberger M. . ‘A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations.’ J. Math. Anal. Appl. 275: 439–458.
Natterer F, Wübbeling F. . Mathematical methods in image reconstruction. Philadelphia, PA: Selbstverlag / Eigenverlag / Self-publishing. doi: 10.1118/1.1455744.
Burger M. . ‘A level set method for inverse problems.’ Inverse Problems 17: 1327–1356.
Burger M, Neubauer A. . ‘Error bounds for approximation with neural networks.’ J. Approx. Theory 112: 235–250.
Burger M, Engl H, Markowich P, Pietra P. . ‘Identification of doping profiles in semiconductor device.’ Inverse Problems 17: 1765–1795.
Burger M. . ‘Iterative regularization of a parameter identification problem occurring in polymer crystallization.’ SIAM J. Numer. Anal. 39, Nr. SIAM J. Numer. Anal.: 1029–1054.
Burger M, Capasso V. . ‘Mathematical modelling and simulation of non-isothermal crystallization of polymers.’ Math. Models and Methods in Appl. Sciences 11: 1029–1054.
Burger M, Scherzer O. . ‘Regularization methods for blind deconvolution and blind source separation problems.’ Mathematics of Control, Signals and Systems 14: 358–383.
Ohlberger M. . ‘A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations.’ Numerische Mathematik 87, Nr. 4: 737 – 761.
Ohlberger M. . A posteriori error estimates and adaptive methods for convection dominated transport processes.
Haasdonk B, Ohlberger M, Rumpf M, Schmidt A, Siebert K. . h-p-Multiresolution Visualization of Adaptive Finite Element Simulations , .
Haasdonk B, Ohlberger M, Rozza G. . ‘A reduced basis method for evolution schemes with parameter-dependent explicit operators.’ Electron. Trans. Numer. Anal. 32: 145–161.
Ohlberger M. . ‘A posteriori error estimates for vertex centered finite volume approximations of convection-diffusion-reaction equations.’ M2AN Math. Model. Numer. Anal. 35: 355–387.
Burger M, Engl H. . ‘Training neural networks with noisy data as an ill-posed problem.’ Adv. Comp. Math 13, Nr. Adv. Comp. Math: 335–354.
Kröner D, Ohlberger M. . ‘A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multidimensions.’ Math. Comp. 69: 25–39.
Stevens A. . ‘The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems.’ SIAM Journal on Applied Mathematics 61, Nr. 1: 183–212. doi: 10.1137/S0036139998342065.
Stevens Angela. . ‘A stochastic cellular automaton modeling gliding and aggregation of myxobacteria.’ SIAM J. Appl. Math. 51, no. 1: 172 – 182.
Burger M, Capasso V, Engl H. . ‘Inverse problems related to crystallization of polymers.’ Inverse Problems 15, Nr. Inverse Problems: 155–173.
Burger M, Capasso V, Eder G, Engl H. . ‘Modelling and parameter-identification in non-isothermal crystallization of polymers.’ Contributed to the EcMI 98, Gothenburg.
Geßner T, Haasdonk B, Kende R, Lenz M, Metscher M, Neubauer R, Ohlberger M, Rosenbaum W, Rumpf M, Schwörer R, Spielberg M, Weikard U. . A Procedural Interface for Multiresolutional Visualization of General Numerical Data , .
Ohlberger M. . ‘Adaptive mesh refinement for single and two phase flow problems in porous media.’.
Ohlberger M, Rumpf M. . ‘Adaptive protection operators in multiresolution scientific visualizations.’ IEEE Transactions on Visualization and Computer Graphics 5, Nr. 1: 74 – 94.
Ohlberger M. . ‘Mixed finite element-finte volume methods for two-phase flow in porous media.’.
Grüne L, Metscher M, Ohlberger M. . ‘On numerical algorithm and interactive visualization for optimal control problems.’ Comp. Visual. Sci. 1, Nr. 4: 221 – 229.
Sonoc, C. . ‘On the Pathwise Uniqueness of Solutions of Stochastic Differential
Equations.’ Portugaliae Mathematica 55: 451–456.
Ohlberger M, Schwörer R. . Challenges in Fluid Dynamics.
Sonoc, C. . ‘The Cauchy Problem for Seismic Wave Propagation.’ Analele Univ. de Vest din Timisoara, Seria Matematica/Informatica XXXV: 299–305.
Ohlberger M. . ‘Convergence of a mixed finite element-finite volume method for the two phase flow in porous media.’ East-West journal of numerical mathematics 5, Nr. 3: 183 – 210.
Neubauer R, Ohlberger M, Rumpf M, Schwörer R. . ‘Efficient visualization of large-scale data on hierarchical meshes.’.
Ohlberger M, Rumpf M. . ‘Hierarchical and adaptive visualization on nested grids.’ Computing 59, Nr. Computing: 365 – 385.
Stevens A, Schweitzer F. . ‘Aggregation induced by diffusing and non-diffusing media.’ InDynamics of Cell and Tissue Motion, edited byAlt W, Deutsch A, Dunn G., 183–192. Birkhäuser Verlag.
Stevens A. . ‘Simulation of chemotaxis-equations in two space dimensions.’ InNonlinear Physics of Complex Systems - Current Status and Future Trends, edited byParisi J, Müller S C, Zimmermann W, 363–371.
Stevens Angela. . ‘Trail Following and Aggregation of Myxobacteria.’ Journal of Biological Systems 3, no. 4: 1059 – 1068.
Stevens A. . ‘Aggregation of Myxobacteria - a many particle system.’ Contributed to the First European Conference of Mathematics Applied to Biology and Medicine, l'Alpes d'Huez.
Stevens A. . ‘A model for gliding and aggregation of Myxobacteria.’ InNonlinear wave processes in excitable media, edited byHolden A, Markus M, Othmer H G, 269–276.
Stevens A. . ‘Simulations of the aggregation and gliding behavior of Myxobacteria.’ InBiological motion. Lecture Notes in Biomathematics 89, edited byAlt W, Hoffmann G, 548–555. Springer VDI Verlag.