List of publications

Institute for Analysis and Numerics

Publications

Published
In Press
Accepted
Submitted

Published
In Press
  • Clason C, Tameling C, Wirth B. . ‘Vector-valued multibang control of differential equations.’ SIAM Journal on Control and Optimization ?.
  • Heeren B, Rumpf M, Wirth B. . ‘Variational time discretization of Riemannian splines.’ IMA Journal of Numerical Analysis ?. doi: https://doi.org/10.1093/imanum/drx077.
Accepted
Submitted

Published
In Press
  • 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.
Accepted
  • Herrmann M, Matthies K. . ‘Uniqueness of solitary waves in the high-energy limit of FPU-type chains.’ Contributed to the Patterns in Dynamics, Berlin.
  • Stevens Angela. . ‘Mathematics in the Life-Sciences: A personal point of view.’ DMV-Jahresbericht 2016.
Submitted
  • 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.
  • Buhr Andreas, Smetana Kathrin. . Randomized Local Model Order Reduction : arXiv:1706.09179, .

Published
In Press
Submitted
  • 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.
  • 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 , .
  • Himpe C, Ohlberger M. . Cross-Gramian-Based Model Reduction: A Comparison.’ Contributed to the Model Reduction for Parametrized Systems III (MoRePaS 3), Triest, Italien.

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

Published
Accepted
  • 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.

Published
In Press
  • 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.

Published
In Press
  • Kelkel J, Surulescu C. . ‘A multiscale approach to cell migration in tissue networks.’ Mathematical Models and Methods in the Applied Sciences 22, No. 3.
Accepted
  • 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.

Published
  • Burger M. . Inverse problems in ion channel modelling.’ Inverse Problems 27, No. 8. doi: 10.1088/0266-5611/27/8/083001.
  • Lucka F, Pursiainen S, Burger M, Wolters CH. . Hierarchical bayesian models for eeg inversion: Depth localization and source separation for focal sources in realistic FE head models.’
  • Sanchez V, Wistuba J, Wubbeling F, Burger M, Schlatt S, Mallidis C. . ‘Detection of Sperm DNA damage by Raman microspectroscopy.’. doi: 10.1016/j.fertnstert.2011.07.900.
  • Mallidis C, Wistuba J, Bleisteiner B, Damm OS, Gross P, Wubbeling F, Fallnich C, Burger M, Schlatt S. . ‘In situ visualization of damaged DNA in human sperm by Raman microspectroscopy.’ Human Reproduction 26, No. 7: 1641-1649. doi: 10.1093/humrep/der122.
  • 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.
  • Brenier Y., Otto F., Seis C.,. . Upper bounds on coarsening rates in demixing binary viscous liquids.’ SIAM Journal on Mathematical Analysis 43, No. 1: 114-134. doi: 10.1137/090775142.
  • Lehrenfeld Christoph. . ‘Nitsche-XFEM for a Transport Problem in Two- Phase Incompressible Flows.’ In Proc. Appl. Math. Mech., 613-614.: Wiley. doi: 10.1002/pamm.201110296.
  • Haasdonk B, Dihlmann M, Ohlberger M. . ‘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, No. 17 (4): 423--442. doi: 10.1080/13873954.2011.547674.
  • 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, No. 2: 145--161. doi: 10.1080/13873954.2010.514703.
  • Remmel H, Paech B, Engwer C, Bastian P. . ‘Supporting the Testing of Scientific Frameworks with Software Product Line Engineering: A Proposed Approach.’ In Proceeding of the 4th international workshop on Software engineering for computational science and engineering, 10-18. doi: 10.1145/1985782.1985785.
  • Capasso Vincenzo, Engbers Ralf, La Torre Davide. . ‘Population dynamics in a spatial Solow model with a convex-concave production function.’ In Mathematical and Statistical Methods for Actuarial Sciences and Finance, edited by Perna Cira, Sibillo Marilena.: Springer.
  • Sawatzky A. . (Nonlocal) Total Variation in Medical Imaging Doctoral Thesis, WWU Münster.
  • Rumpf M, Wirth B. . ‘Variational methods in shape analysis.’ In Handbook of Mathematical Methods in Imaging, edited by Scherzer O, 1363-1401. Springer. doi: 10.1007/978-0-387-92920-0_31.
  • Brancolini A., Solimini S. . On the Hölder regularity of the landscape function.’ Interfaces and Free Boundaries 13, No. 2: 191-222. doi: 10.4171/IFB/254.
  • Surulescu C, Surulescu N. . ‘Mathematical modeling with stochastic processes and stochastic differential equations.’ European Communications in Mathematical and Theoretical Biology 14: 106-117.
  • Kelkel J, Surulescu C. . ‘On some models for cancer cell migration through tissue.’ Mathematical Biosciences and Engineering 8: 575-589.
  • Drohmann M, Haasdonk B, Ohlberger M. . ‘Adaptive Reduced Basis Methods for Nonlinear Convection-Diffusion Equations.’ In Finite Volumes for Complex Applications VI - Problems & Perspectives, edited by Fort J. et al., 369--377.: Springer. doi: 10.1007/978-3-642-20671-9_39.
  • Horstmann, Dirk, Stevens, Angela. . ‘Origins of Theoretical Biology.’ European Communications in Mathematical and Theoretical Biology 2011, No. 14: 94-103.
  • Rumpf M, Wirth B. . ‘An elasticity-based covariance analysis of shapes.’ International Journal of Computer Vision 92, No. 3: 281-295. doi: 10.1007/s11263-010-0358-2.
  • Benning M, Burger M. . ‘Error estimates for general fidelities.’ El. Trans. Numer. Anal. 38: 44-68.
  • Wirth B, Bar L, Rumpf M, Sapiro G. . ‘A Continuum Mechanical Approach to Geodesics in Shape Space.’ International Journal of Computer Vision 93, No. 3: 293-318. doi: 10.1007/s11263-010-0416-9.
  • Seis C. . On the coarsening rates in demixing binary viscous liquids , No. 55: Oberwolfach Reports, . doi: 10.4171/OWR/2011/55.
  • Wirth B, Gerhard J, Marquardt W. . ‘Stability-preserving optimization in presence of fast disturbances.’ IEEE Transactions on Automatic Control 56, No. 11: 2683-2687. doi: 10.1109/TAC.2011.2160029.
  • Heins P. . Sparse Model-Based Reconstruction in Dynamic Positron Emission Tomography.
  • 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.
  • Bastian P, Engwer C, Fahlke J, Ippisch O. . An Unfitted Discontinuous Galerkin Method for Pore-Scale Simulations of Solute Transport.’ Mathematics and Computers in Simulation 81, No. 10: 2051-2061. doi: 10.1016/j.matcom.2010.12.024.
  • Wirth B, Warnecke M, Schmenk B, Seide G, Gries T. . ‘Filament breaches during air-gap spinning.’ Chemical Fibers International 61: 38-39.
  • Ohlberger M, Smetana K. . ‘A new Hierarchical Model Reduction-Reduced Basis technique for advection-diffusion-reaction problems.’ In Proceedings of the V International Conference on Adaptive Modeling and Simulation (ADMOS 2011) held in Paris, France, 6-8 June 2011, edited by Aubry D. et al., 343-354.: International Center for Numerical Methods in Engineering (CIMNE), Barcelona.
  • 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.
  • Mikula K, Ohlberger M. . ‘Inflow-Implicit/Outflow-Explicit scheme for solving advection equations.’ In Finite Volumes for Complex Applications VI - Problems & Perspectives, edited by Fort J. et al., 683--691.: Springer. doi: 10.1007/978-3-642-20671-9_72.
  • 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, No. 1-2: 127-150. doi: 10.1007/s00526-010-0356-9.
  • Henning P, Ohlberger M. . ‘A Note on Homogenization of Advection-Diffusion Problems with Large Expected Drift.’ Zeitschrift für Analysis und ihre Anwendungen 2011, No. 30(3): 319--339. doi: 10.4171/ZAA/1437.
  • Herrmann M, Niethammer B. . Kramers' formula for chemical reactions in the context of Wasserstein gradient flows.’ Commun. Math. Sci. 9, No. 2: 623-635. doi: 10.4310/CMS.2011.v9.n2.a15.
  • 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+Teubner Verlag.
  • Budáč O, Herrmann M, Niethammer B, Spielmann A. . On a model for mass aggregation with maximal size.’ Kinet. Relat. Models 4, No. 2: 427-439. doi: 10.3934/krm.2011.4.427.
  • 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, No. 3-4: 251-288.
  • 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.
  • Herrmann M. . Homoclinic standing waves in focusing DNLS equations.’ Discrete Contin. Dyn. Syst. 31, No. 3: 737-752. doi: 10.3934/dcds.2011.31.737.
  • 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.Hum Reprod 26, No. 7: 1641-9.
  • Dreyer W, Guhlke C, Herrmann M. . Hysteresis and phase transition in many-particle storage systems.’ Contin. Mech. Thermodyn. 23, No. 3: 211-231. doi: 10.1007/s00161-010-0178-1.
  • Burger M, Matevosyan N, Wolfram M. . ‘A level set based shape optimization method for an elliptic obstacle problem.’21: 619-649.
  • Herrmann M. . Action minimising fronts in general FPU-type chains.’ J. Nonlinear Sci. 21, No. 1: 33-55. doi: 10.1007/s00332-010-9075-9.
  • 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.
  • Otto F., Seis C. . Rayleigh-Bénard convection: Improved bounds on the Nusselt number.’ Journal of Mathematical Physics 52, No. 8. doi: 10.1063/1.3623417.
  • Lucka F., Pursiainen S., Burger M., Wolters C. . Hierarchical bayesian models for EEG inversion: Depth localization and source separation for focal sources in realistic FE head models.’ Biomedizinische Technik 56: 1-4. doi: 10.1515/BMT.2011.817.
  • Seis C. . Scaling laws in two models for thermodynamically driven fluid flows Doctoral Thesis, Universität Leipzig.
  • Brune C, Sawatzky A, Burger M. . ‘Primal and Dual Bregman Methods with Application to Optical Nanoscopy.’ International Journal of Computer Vision 92, No. 2: 211-229. doi: 10.1007/s11263-010-0339-5.
Submitted
  • 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 , .
  • Märkl C, Surulescu C. . Mathematical analysis and numerical simulations for a system modeling acid-mediated tumor cell invasion , .

Published
  • Benning M, Heins P, Burger M. . A solver for dynamic PET reconstructions based on forward-backward- splitting.’ Contributed to the ICNAAM 2010, Crete. doi: 10.1063/1.3498318.
  • Kang K, Stevens A, Velázquez JJL. . ‘Qualitative behavior of a Keller-Segel model with non-diffusive memory.’ Communications in Partial Differential Equations 35, No. 2: 245-274. doi: 10.1080/03605300903473400.
  • Scharf O, Gorlatch S, Blanke F, Hemker C, Westerheide S, Priebs T, Bartenhagen C, Ploss A, Glinka F, Meilaender D. . Scalable distributed simulation of large dense crowds using the Real-Time Framework (RTF).’ Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 6271 LNCS, No. PART 1: 572-583.
  • 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.
  • Benning M. . Improved Dynamic PET via Kinetic Models and Operator Splitting.
  • Mikula K, Ohlberger M. . ‘A New Level Set Method for Motion in Normal Direction Based on a Semi-Implicit Forward-Backward Diffusion Approach.’ SIAM J. Sci. Comput. 32, No. 3: 1527--1544. doi: 10.1137/09075946X.
  • Ohlberger M, Smetana K. . A new problem adapted hierarchical model reduction technique based on reduced basis methods and dimensional splitting , .
  • Benning M., Heins P., Burger M. . A solver for dynamic PET reconstructions based on forward-backward- splitting.’ Contributed to the International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010, Rhodes, grc. doi: 10.1063/1.3498318.
  • Burger M, Carrillo J, Wolfram M. . ‘A mixed finite element method for nonlinear diffusion equations.’ Kinetic and Related Methods 3: 59-83.
  • Herrmann M, Rademacher JDM. . Riemann solvers and undercompressive shocks of convex FPU chains.’ Nonlinearity 23, No. 2: 277-304. doi: 10.1088/0951-7715/23/2/004.
  • Kelkel J, Surulescu C. . ‘On a stochastic reaction-diffusion system modeling pattern formation on seashells.’ JMB 60: 765-796.
  • Kelkel J, Surulescu C. . On a stochastic reaction-diffusion system modeling pattern formation on seashells.’ J. Math. Biol. 60, No. 6: 765--796. doi: 10.1007/s00285-009-0284-5.
  • Surulescu C. . On a time-dependent fluid-solid coupling in 3D with nonstandard boundary conditions: steps towards modeling blood flow.’ Acta Appl. Math. 110, No. 3: 1087--1104. doi: 10.1007/s10440-009-9495-4.
  • 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.’ In Medical Imaging and Augmented Reality: 5th International Workshop, MIAR 2010, Beijing, China, September 19-20, 2010, Proceedings (Lecture Notes in ... Vision, Pattern Recognition, and Graphics), edited by Hongen Liao, P.J. Eddie Edwards, Xiaochuan Pan, 88-97. Berlin Heidelberg: Springer. doi: 10.1007/978-3-642-15699-1_10.
  • Drohmann M, Haasdonk B, Ohlberger M. . Reduced Basis Approximation for Nonlinear Parametrized Evolution Equations based on Empirical Operator Interpolation , .
  • Dal Maso G, Zeppieri C.I. . ‘Homogenization of fiber reinforced brittle materials: The intermediate case.’ Advances in Calculus of Variations 3, No. 4: 345-370. doi: 10.1515/ACV.2010.011.
  • 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.
  • Herrmann M, Rademacher JDM. . Heteroclinic travelling waves in convex FPU-type chains.’ SIAM J. Math. Anal. 42, No. 4: 1483-1504. doi: 10.1137/080743147.
  • Surulescu C and Surulescu N. . ‘A Nonparametric Approach to Cell Dispersal.’ Int. J. of Biomathematics and Biostatistics 1: 109-128.
  • Burger M, Di Francesco M, Pietschmann J, Schlake B. . ‘Nonlinear cross-diffusion with size exclusion.’ SIAM Journal on Mathematical Analysis 42, No. 6: 2842-2871. doi: 10.1137/100783674.
  • Bianchini S., Brancolini A. . Estimates on path functionals over Wasserstein spaces.’ SIAM Journal on Mathematical Analysis 42, No. 3: 1179-1217. doi: 10.1137/100782693.
  • Benning M, Heins P, Burger M. . ‘A Solver for Dynamic PET Reconstruction based on Forward-Backward Splitting.’ Contributed to the ICNAAM 2010.
  • Sobey I, Eisenträger A, Wirth B, Czosnyka M. . ‘Multi-fluid poro-elastic modelling of the CSF infusion test.’ In 6th World Congress of Biomechanics (WCB 2010), IFMBE Proceedings, 362-365.
  • 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, No. 5: 3858-3876. doi: 10.1016/j.nonrwa.2010.01.016.
  • Moeller M, Burger M, Dieterich P, Schwab A. . A Framework for Automated Cell Tracking in Phase Contrast Microscopic Videos based on Normal Velocities , .
  • Mikula K, Ohlberger M. . A New Inflow-Implicit/Outflow-Explicit Finite Volume Method for Solving Variable Velocity Advection Equations , .
  • Lehrenfeld Christoph. . Hybrid Discontinuous Galerkin Methods for Incompressible Flow Problems.
  • 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, No. 3-4: 165-196. doi: 10.1007/s00607-010-0110-3.
  • Wiebel A, Chan R, Wolf C, Robitzki A, Stevens A, Scheuermann G. . ‘Topological flow structure in a mathematical model for rotation-mediated cell aggregation.’ In Topological Methods in Data Analysis and Visualization - Theory, Algorithms, and Applications, edited by Pascucci V, Tricoche X, Hagen H, Tierny J, 193-204. Heidelberg, Dordrecht, London, New York: Springer. doi: 10.1007/978-3-642-15014-2_16.
  • 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, No. 4: 711--744. doi: 10.3934/nhm.2010.5.711.
  • 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.
  • Zhang X, Burger M, Bresson X, Osher S. . ‘Bregmanized nonlocal regularization for deconvolution and sparsereconstruction.’ SIAM J. Imaging Sci. 3, No. 3: 253--276. doi: 10.1137/090746379.
  • 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.
  • Espejo EE, Stevens A, Velázquez JJL. . ‘A note on nonsimultaneous blow-up for a drift-diffusion model.’ Differential and Integral Equations 23, No. 5-6: 451-462.
  • Burger M, Carrillo J, Wolfram MT. . ‘A mixed finite element method for nonlinear diffusion equations.’ Kinetic and Related Methods 3: 59-83.
  • Herrmann M. . Heteroclinic standing waves in defocusing DNLS equations: variational approach via energy minimization.’ Appl. Anal. 89, No. 10: 1591-1602. doi: 10.1080/00036811.2010.492504.
  • Burger M, Nielsen B, Mardal K. . ‘Stability analysis of the inverse transmembrane potential problem in electrocardiography.’ Inverse Problems 26, No. 10: 105012. doi: 10.1088/0266-5611/26/10/105012.
  • Herrmann M. . Unimodal wavetrains and solitons in convex Fermi-Pasta-Ulam chains.’ Proc. Roy. Soc. Edinburgh Sect. A 140, No. 4: 753-785. doi: 10.1017/S0308210509000146.
  • Zhang X, Burger M, Osher S. . ‘A unified primal-dual algorithm framework based on Bregman iteration.’ J Sci Comp 3.
  • Herrmann M, Segatti A. . Infinite harmonic chain with heavy mass.’ Commun. Pure Appl. Anal. 9, No. 1: 61-75. doi: 10.3934/cpaa.2010.9.61.
  • 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.
Accepted
  • Engwer C, Bastian P, Kuttanikkad SP. . ‘An Unfitted Discontinuous Galerkin Finite Element Method for Pore Scale Simulations.’ In 9th International Workshop on State-of-the-Art in Scientific and Parallel Computing.: Springer.

  • Kang K, Perthame B, Stevens A, Velázquez JJL. . An integro-differential equation model for alignment and orientational aggregation.’ Journal of Differential Equations 246, No. 4: 1387-1421. doi: 10.1016/j.jde.2008.11.006.
  • Primi I, Stevens A, Velázquez JJL. . ‘Mass-selection in alignment models with non-deterministic effects.’ Communications in Partial Differential Equations 34, No. 5: 419-456. doi: 10.1080/03605300902797171.
  • Schellmann M, Gorlatch S, Meiländer D, Kösters T, Schäfers K, Wübbeling F, Burger M. . Parallel medical image reconstruction: From graphics processors to grids.’ Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 5698 LNCS: 457-473.
  • Haasdonk B, Ohlberger M. . ‘Space-adaptive reduced basis simulation for time-dependent problems.’.
  • 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. , .
  • 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, No. International Journal for Numerical Methods in Fluids: 333--354. doi: 10.1002/fld.1686.
  • Engwer C. . An Unfitted Discontinuous Galerkin Scheme for Micro-scale Simulations and Numerical Upscaling Doctoral Thesis, Universität Heidelberg.
  • 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.
  • Braides A, Zeppieri C.I. . ‘Multiscale analysis of a prototypical model for the interaction between microstructure and surface energy.’ Interfaces and Free Boundaries 11, No. 1: 61-108.
  • 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.
  • Büther F, Dawood M, Stegger L, Wübbeling F, Schäfers M, Schober O, Schäfers KP. . ‘List mode-driven cardiac and respiratory gating in PET.’50, No. 5: 674-81. doi: 10.2967/jnumed.108.059204.
  • 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.
  • Drohmann M. . Reduzierte Basis Methoden für ungesättigte Grundwasserströmungen.
  • 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.
  • Brune C, Maurer H, Wagner M. . ‘Detection of Intensity and Motion Edges within Optical Flow via Multidimensional Control.’ SIAM J. Imag. Sci. 2, No. 4: 1190-1210. doi: 10.1137/080725064.
  • 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: EMS Publ. House. doi: 10.4171/OWR/2009/24.
  • Kelkel J, Surulescu C. . A weak solution approach to a reaction-diffusion system modeling pattern formation on seashells.’ Math. Methods Appl. Sci. 32, No. 17: 2267--2286. doi: 10.1002/mma.1133.
  • Herrmann M. . Periodic travelling waves in convex Klein-Gordon chains.’ Nonlinear Anal. 71, No. 11: 5501-5508. doi: 10.1016/j.na.2009.04.039.
  • Kelkel J, Surulescu C. . ‘A weak solution approach to a reaction-diffusion system modeling pattern formation on seashells.’ MMAS 32: 2267-2286.
  • Bastian P, Engwer C. . ‘An unfitted finite element method using discontinuous Galerkin.’ International Journal for Numerical Methods in Engineering 79, No. 12: 1557-1576. doi: 10.1002/nme.2631.
  • Brancolini A., Buttazzo G., Santambrogio F., Stepanov E. . Long-term planning versus short-term planning in the asymptotical location problem.’ ESAIM - Control, Optimisation and Calculus of Variations 15, No. 3: 509-524. doi: 10.1051/cocv:2008034.
  • Albrecht F. . Local Discontinuous Galerkin Verfahren für die Stokes Gleichungen und Homogenisierung in porösen Medien (Diplomarbeit).
  • Rumpf M, Wirth B. . ‘A nonlinear elastic shape averaging approach.’ SIAM Journal on Imaging Sciences 2, No. 3: 800-833. doi: 10.1137/080738337.
  • 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.
  • Rumpf M, Wirth B. . ‘An Elasticity Approach to Principal Modes of Shape Variation.’ In Second International Conference on Scale Space Methods and Variational Methods in Computer Vision, 709-720.
  • Haasdonk B, Ohlberger M. . ‘Efficient reduced models for parametrized dynamical systems by offline/online decomposition.’.
  • Wirth B, Bar L, Rumpf M, Sapiro G. . ‘Geodesics in Shape Space via Variational Time Discretization.’ In 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition, 288-302. doi: 10.1007/978-3-642-03641-5_22.
  • Haasdonk B, Ohlberger M. . ‘Reduced Basis Method for Explicit Finite Volume Approximations of Nonlinear Conservation Laws.’ In Hyperbolic problems: theory, numerics and applications. Providence, RI: Amer. Math. Soc.
  • 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.
  • Espejo E E, Stevens A, Velazquez JJL. . ‘Simultaneous finite time blow-up in a two species model for chemotaxis.’ Analysis 29, No. 3: 317-338. doi: 10.1524/anly.2009.1029.
  • Bachmayr M, Burger M. . ‘Iterative total variation schemes for nonlinear inverse problems.’ Inverse Problems 25.
  • Dkhil F, Stevens A. . ‘Traveling wave speeds in rapidly oscillating media.’ Discrete and Continuous Dynamical Systems - Series A (DCDS-A) 25, No. 1: 89-108. doi: 10.3934/dcds.2009.25.89.
  • Burger M, He L, Schönlieb C. . ‘Cahn-Hilliard inpainting and a generalization for grayvalue image.’ SIAM J. Imag. Sci. 3: 3.
  • 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, No. 4: 667-708. doi: 10.3934/nhm.2009.4.667.
  • 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.
  • Herrmann M, Niethammer B, Velázquez JJL. . Self-similar solutions for the LSW model with encounters.’ J. Differential Equations 247, No. 8: 2282-2309. doi: 10.1016/j.jde.2009.07.021.
  • Burger M, Kaltenbacher B, Neubauer A. . ‘Iterative solution methods.’ In Handbook of Mathematical Methods in Imaging, edited by Scherzer O, .. Springer.
  • Herrmann M, Laurençot P, Niethammer B. . Self-similar solutions for fat tails for a coagulation equation with nonlocal drift.’ C. R. Math. Acad. Sci. Paris 347, No. 15-16: 909-914. doi: 10.1016/j.crma.2009.05.006.
  • 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.

  • 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, No. 33: 10970-10976. doi: 10.1021/ja801178p.
  • 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, No. Journal of Fuel Cell Science and Technology: 5. doi: 10.1115/1.2822884.
  • 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.
  • 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, No. 2--3: 121-138. doi: 10.1007/s00607-008-0004-9.
  • 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, No. 1: 99-109. doi: 10.1016/j.jtbi.2008.04.014.
  • 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, Chu S, Markowich P, Schönlieb C. . ‘Cahn-Hilliard inpainting and the Willmore functional.’ In PAMM Special Issue: ICIAM 07, 1011209-1011210.
  • Henseler R, Herrmann M, Niethammer B, Velázquez JJL. . A kinetic model for grain growth.’ Kinet. Relat. Models 1, No. 4: 591-617. doi: 10.3934/krm.2008.1.591.
  • 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.
  • Surulescu C. . ‘On the Time-Dependent Motion of a Viscous Incompressible Fluid Through a Tube with Compliant Walls.’ Studia UBB Mathem LIII: 77-95.
  • 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.
  • 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.
  • Brune C, Maurer H, Wagner M. . „aaa Kantenerkennung im optischen Fluss als mehrdimensionales Steuerungsproblem.“. BTU Cottbus.
  • Klöfkorn R, Kröner D, Ohlberger M. . ‘Parallel adaptive simulation of PEM fuel cells.’ In Mathematics – Key Technology for the Future, edited by Krebs, Jäger, 235-249.
  • Burger M. . ‘Finite element approximation of elliptic partial differential equations on implicit surfaces.’ Comp. Vis. Sci. .
  • Stevens A, Velázquez JJL. . ‘Partial differential equations and non-diffusive structures.’ Nonlinearity 21, No. 12: T283-T289. doi: 10.1088/0951-7715/21/12/T04.
  • Burger M, Pinnau R. . ‘A Globally Covergent Gummel Map for Optimal Dopant Profiling.’ Math. Models Meth. Appl. Sci. 19.
  • Schlake B. . Mathematical Models for Pedestrian Motion.
  • Burger M. . ‘A note on sparse reconstruction methods.’ In J Phys Conference Series, edited by Uhlmann G, 012002.
  • Burger M, He L, Markowich P, Schönlieb C. . ‘A generalization of Cahn-Hilliard inpainting for gray-value images.’ In PAMM Special Issue: ICIAM 07, 1041905-1041906.
  • 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.
  • Bastian P, Bauer J, Chavarria-Krauser A, Engwer C, Jager W, Marnach S, Ptashnyk M, Wetterauer B. . ‘Modeling and Simulation of Hairy Root Growth.’ In Mathematics-Key Technology for the Future: Joint Projects Between Universities and Industry 2004-2007, edited by Krebs H, Jäger W, 101-115. Springer. doi: 10.1007/978-3-540-77203-3_8.
  • Burger M, Landa Y, Tanushev N, Tsai R. . ‘Discovering point sources in unknown environments.’ Contributed to the WAFR 2008.
  • 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, No. 2--3: 103-119. doi: 10.1007/s00607-008-0003-x.
  • Burger M, Stöcker C, Voigt A. . ‘Finite element based level set methods for higher order flows.’ J. Sci. Comp. 35: 77-98.
  • Dedner A, Ohlberger M. . A new $hp$-adaptive DG scheme for conservation laws based on error control.’ In Hyperbolic Problems: Theory, Numerics, Applications, edited by Benzoni-Gavage, Serre, 187--198. Berlin. doi: 10.1007/978-3-540-75712-2_15.
  • Burger M, Di Francesco M. . ‘Large time behavior of nonlocal aggregation models with nonlinear diffusion.’ Networks and Heterogeneous Media 3: 749-785.
  • Klöfkorn R, Kröner D, Ohlberger M. . Parallel and adaptive simulation of fuel cells in 3d.’ In Computational science and high performance computing III, 69--81. Berlin: Springer. doi: 10.1007/978-3-540-69010-8_7.
  • Burger M, Pinnau R, Wolfram M. . ‘On-/Off-State design of semiconductor doping profiles.’ Commun. Math. Sci. 6: 1021-1041.
  • 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.
  • Favaro P, Soatto S, Burger M, Osher S. . ‘Shape from Defocus via Diffusion.’ IEEE Transactions PAMI 30: 518-531.
  • Haasdonk B, Ohlberger M. . ‘Reduced Basis Method for Finite Volume Approximations of Parametrized Linear Evolution Equations.’ M2AN Math. Model. Numer. Anal. 42, No. 2: 277-302. doi: 10.1051/m2an:2008001.
  • Burger M, Chu S, Markowich P, Schönlieb C. . ‘The Willmore functional and instabilities in the Cahn-Hilliard equation.’ Commun. Math. Sci. 6: 309-329.
  • Giannoulis J, Herrmann M, Mielke A. . Lagrangian and Hamiltonian two-scale reduction.’ J. Math. Phys. 49, No. 10: 103505, 42. doi: 10.1063/1.2956487.
  • Arning K, Burger M, Eisenberg B, Engl H, He L. . ‘Inverse problems related to ion channels.’ In PAMM Special Issue: ICIAM 07, 1120801-1120802.
  • Dreyer W, Herrmann M. . Numerical experiments on the modulation theory for the nonlinear atomic chain.’ Phys. D 237, No. 2: 255-282. doi: 10.1016/j.physd.2007.09.003.
  • 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.

  • Fuhrmann J, Käs J, Stevens A. . ‘Initiation of cytoskeletal asymmetry for cell polarization and movement.’ Journal of Theoretical Biology 249, No. 2: 278-288. doi: 10.1016/j.jtbi.2007.08.013.
  • 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. , No. Dynamical Systems and Differential Equations. Proceedings of the 6th AIMSInternational Conference, suppl.: 794--803.
  • Ben Ameur H, Burger M, Hackl B. . ‘On some geometric inverse problems in linear elasticity.’ Math. Meth. Appl. Sci. 30: 625-647.
  • Benning M, Lee E, Pao H, Yacoubou-Djima K. . Statistical Filtering of Global Illumination for Computer Graphics , .
  • Braides A, Zeppieri C.I. . ‘A note on equi-integrability in dimension reduction problems.’ Calculus of Variations and Partial Differential Equations 29, No. 2: 231-238. doi: 10.1007/s00526-006-0065-6.
  • Rave S. . Über die Entscheidbarkeit gewisser Prädikate in der Theorie der C*-Algebren. Münster.
  • Klöfkorn R, Kröner D, Ohlberger M. . ‘Parallel and adaptive simulaiton of fuel cells in 3D.’.
  • Burger M, Capasso V, Micheletti A. . An extension of the Kolmogorov-Avrami formula to inhomogeneous birth-and-growth processes.’, edited by Aletti G, Burger M, Micheletti A, Morale D, 63--76. Berlin: Springer. doi: doi:10.1007/978-3-540-44446-6_6.
  • Su B, Burger M. . Global weak solutions of non-isothermal front propagation problem.’ Electron. Res. Announc. Amer. Math. Soc. 13: 46--52 (electronic). doi: doi:10.1090/S1079-6762-07-00173-4.
  • Schweizer B, Surovtsova I, Surulescu C. . ‘Fluid Flows and Free Boundaries.’ In Reactive Flows, Diffusion and Transport, edited by Jäger W, Rannacher R and Warnatz J.. Springer.
  • Surulescu C. . ‘On the Stationary Interaction of a Navier-Stokes Fluid With an Elastic Tube Wall.’ Applicable Analyis 86: 149-165.
  • Schweizer B, Bodea S, Surulescu C, Surovtsova I. . Fluid flows and free boundaries.’ In Reactive flows, diffusion and transport, 5--24. Berlin: Springer. doi: 10.1007/978-3-540-28396-6_1.
  • Surulescu C. . On the stationary interaction of a Navier-Stokes fluid with an elastic tube wall.’ Appl. Anal. 86, No. 2: 149--165. doi: 10.1080/00036810601108756.
  • Brune C. . Berechnung des optischen Flusses und Kantenerkennung mit Optimierungsmethoden.
  • 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 , No. Journal of Fuel Cell Science and Technology.
  • Burger M, Eisenberg B, Engl H. . ‘Inverse problems related to ion channel selectivity.’ SIAM J. Appl. Math. 67: 960-989.
  • Henning P. . Die Heterogene Mehrskalenmethode f\�r elliptische Differentialgleichungen in perforierten Gebieten.
  • Burger M, Hausser F, Stöcker C, Voigt A. . ‘A level set approach to anisotropic flows with curvature regularization.’ J. Comp. Phys. 225: 183-205.
  • Burger M, Resmerita E, He L. . ‘Error estimation for Bregman iterations and inverse scale space methods.’ Computing 81: 109-135.
  • Burger M, Frick K, Osher S, Scherzer O. . ‘Inverse total variation flow.’ SIAM Multiscale Mod. Simul. 6: 366-395.
  • 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, No. 5: 681-735. doi: 10.1142/S0218202507002078.
  • Sawatzky A. . Reflektoren in der Ultraschall-Tomographie.

  • 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 288A, No. 6: 565-578. doi: 10.1002/ar.a.20326.
  • 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, No. 1: 289-316. doi: 10.1512/iumj.2006.55.2677.
  • Haasdonk B, Ohlberger M. . Reduced Basis Method for Finite Volume Approximations of Parametrized Evolution Equations , .
  • Burri A, Dedner A, Diehl D, Klöfkorn R, Ohlberger M. . ‘A general object oriented framework for discretizing nonlinear evolution equations.’, 93.
  • Bastian P, Blatt M, Engwer C, Dedner A, Klöfkorn R, Kuttanikkad SP, Ohlberger M, Sander O. . ‘The Distributed and Unified Numerics Environment (DUNE).’ In Proc. of the 19th Symposium on Simulation Technique in Hannover, September 12 - 14.
  • Burger M, Stainko R. . ‘Phase-field relaxation of topology optimization with local stress constraints,.’ SIAM J. Control. Optim. 45: 1447-1466.
  • Burger M, Capasso V, Morale D. . ‘On an aggregation model with long and short range interactions.’ Nonlinear Analysis: Real World Applications 8: 939-958.
  • 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, No. 6: 565-578.
  • 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.
  • Brancolini A., Buttazzo G., Santambrogio F. . Path functionals over Wasserstein spaces.’ Journal of the European Mathematical Society 8, No. 3: 415-434.
  • Surulescu C, Surulescu N. . ‘A Note on an Individual Bioequivalence Setting.’ J. Inequal. Pure Appl. Math. 7: 8.
  • 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. . ‘On the stationary motion of a Stokes fluid in a thick elastic tube: a 3D/3D interaction problem.’ Acta Math. Univ. Comenian. (N.S.) 75, No. 1: 95--106.
  • Surulescu C, Surulescu N. . ‘A note on an individual bioequivalence setting.’ JIPAM. J. Inequal. Pure Appl. Math. 7, No. 3: Article 100, 8 pp. (electronic).
  • Dreyer W, Herrmann M, Rademacher JDM. . Wave trains, solitons and modulation theory in FPU chains.’ In Analysis, modeling and simulation of multiscale problems, edited by Mielke A, 467-500. Springer, Berlin. doi: 10.1007/3-540-35657-6_17.
  • Herrmann M, Naldzhieva M, Niethammer B. . On a thermodynamically consistent modification of the Becker-Döring equations.’ Phys. D 222, No. 1-2: 116-130. doi: 10.1016/j.physd.2006.08.004.
  • 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.
  • Burger M, Gilboa G, Osher S, Xu J. . ‘Nonlinear inverse scale space methods.’ Commun. Math. Sci. 4: 179-212.
  • Burger M, Kaltenbacher B. . Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems.’ SIAM J. Numer. Anal. 44, No. 1: 153--182. doi: doi:10.1137/040613779.
  • Burger M, Hinze M, Pinnau R. . ‘Optimization models for semiconductor dopant profiling.’ In Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems, edited by Cercignani C, Gabetta E, 91-116. Boston: Birkhäuser.
  • Burger M. . ‘Surface diffusion including adatoms.’ Comm. Math. Sci. 4: 1-51.
  • Su B, Burger M. . Weak solutions of a polymer crystal growth model , .
  • Burger M, DiFrancesco M, Dolak-Struss Y. . ‘The Keller-Segel model for chemotaxis: linear vs. nonlinear diffusion.’ SIAM J. Math. Anal. 38: 1288-1315.
  • 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.
  • 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.
  • Burri A, Dedner A, Klöfkorn R, Ohlberger M. . ‘An efficient implementation of an adaptive and parallel grid in DUNE.’, 91.
  • 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.
  • Dkhil F, Stevens A. . ‘Traveling wave speeds of nonlocally perturbed reaction diffusion equations.’ Asymptotic Analysis 46, No. 1: 81-91.
  • 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.
  • 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: EMS Publ. House. doi: 10.4171/OWR/2006/24.
  • . Deterministic and Stochastic Modelling in Biomedicine, Economics, and Industry.
  • Giannoulis J, Herrmann M, Mielke A. . Continuum descriptions for the dynamics in discrete lattices: derivation and justification.’ In Analysis, modeling and simulation of multiscale problems, edited by Mielke A, 435-466. Springer, Berlin. doi: 10.1007/3-540-35657-6_16.
  • He L, Burger M, Osher S. . ‘Iterative total variation regularization with non-quadratic fidelity.’ J. Math. Imaging Vision 26: 167-184.
  • Dreyer W, Herrmann M, Mielke A. . Micro-macro transition in the atomic chain via Whitham's modulation equation.’ Nonlinearity 19, No. 2: 471-500. doi: 10.1088/0951-7715/19/2/013.
  • Burger M, Capasso V, Pizzocchero L. . ‘Mesoscale averaging of nucleation and growth processes.’ SIAM Multiscale Mod. Simul. 5: 564 - 592.

Published
  • Hwang H J, Kang K, Stevens A. . ‘Global solutions of nonlinear transport equations for chemosensitive movement.’ SIAM Journal on Mathematical Analysis 36, No. 4: 1177-1199. doi: 10.1137/S0036141003431888.
  • Stevens A, Søgaard-Andersen L. . ‘Making waves: Pattern formation by a cell-surface-associated signal.’ Trends in Microbiology 13, No. 6: 249-252. doi: 10.1016/j.tim.2005.04.002.
  • Hwang HJ, Kang K, Stevens A. . Drift-diffusion limits of kinetic models for chemotaxis: A generalization.’ Discrete and Continuous Dynamical Systems - Series B 5, No. 2: 319-334.
  • Natterer F, Wubbeling F. . ‘Marching schemes for inverse acoustic scattering problems.’ NUMERISCHE MATHEMATIK 100, No. 4: 697-710. doi: 10.1007/s00211-004-0580-3.
  • 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.
  • Bastian P, Droske M, Engwer C, Klöfkorn R, Neubauer T, Ohlberger M, Rumpf M. . ‘Towards a unified framework for scientific computing.’, 167 - 174.
  • 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.
  • Ohlberger M. . ‘A posterior error estimates for the heterogenoeous mulitscale finite element method for elliptic homogenization problems.’ SIAM Multiscale Mod. Simul. 4, No. 1: 88 - 114.
  • Ohlberger M. . ‘Error control for approximations of non-linear conservation laws.’, 85 - 100.
  • Ohlberger M. . ‘A posteriori error estimates for the heterogeneous multiscale finite element method for elliptic homogenization problems.’ Multiscale Model. Simul. 4: 88-114.
  • Dedner A, Makridakis C, Ohlberger M. . ‘A new stable discontinuous Galerkin approximation for non-linear conservation laws on adaptively refined grids.’, 1095 - 1099.
  • Brancolini A., Buttazzo G. . Optimal networks for mass transportation problems.’ ESAIM - Control, Optimisation and Calculus of Variations null, No. 11: 88-101. doi: 10.1051/cocv:2004032.
  • Bastian P, Engwer C. . ‘Solving partial differential equations in complicated domains.’ Oberwolfach Reports 4.
  • Burger M, Hintermueller M. . ‘Projected gradient flows for BV / level set relaxation.’ PAMM 5, No. PAMM: 11-14.
  • Burger M. . ‘A model hierarchy for surface diffusion: the small slope case.’ Contributed to the 5th MATHMOD, Vienna.
  • Burger M. . ‘Numerical simulation of anisotropic surface diffusion with curvature-dependent energy.’ J. Comp. Phys. 203: 602-625.
  • 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.
  • Wolfram M, Burger M. . ‘Inverse dopant profiling for highly doped semiconductor devices.’ Contributed to the 5th MATHMOD, Vienna.
  • Burger M, Hofinger A. . ‘Greedy algorithms for neural network training with data noise.’ Computing 74: 1-22.
  • Burger M, Osher S. . ‘A survey on level set methods for inverse problems and optimal design.’ European J. Appl. Math. 16: 263-301.
  • Dreyer W, Herrmann M, Kunik M, Qamar S. . Kinetic schemes for selected initial and boundary value problems.’ In Analysis and numerics for conservation laws, edited by Warnecke G, 203-232. Springer, Berlin. doi: 10.1007/3-540-27907-5_9.
  • Engwer C, Bastian P. . A Discontinuous Galerkin Method for Simulations in Complex Domains , .
Submitted
  • 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, No. 2: 200-207. doi: 10.1136/hrt.2003.011650.
  • Dreyer W, Herrmann M, Kunik M. . Kinetic solutions of the Boltzmann-Peierls equation and its moment systems.’ Contin. Mech. Thermodyn. 16, No. 5: 453-469. doi: 10.1007/s00161-003-0171-z.
  • Horstmann Dirk, Stevens Angela. . ‘A constructive approach to traveling waves in chemotaxis.’ J. Nonlinear Sci. 14, no. 1: 1 - 25.
  • Ohlberger M. . ‘Higher order finite volume methods on selfadaptive grids for convection dominated reactive transport problems in porous media.’ Comp. Vis. Sci. 7, No. 1: 41-51.
  • Barth T, Ohlberger M. . ‘Finite volume methods: foundation and analysis.’, 439 -474.
  • Bastian P, Droske M, Engwer C, Klöfkorn R, Neubauer T, Ohlberger M, Rumpf M. . ‘Towards a Unified Framework for Scientific Computing.’ In Proceedings of the 15th Conference on Domain Decomposition Methods. doi: 10.1007/3-540-26825-1_13.
  • 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, Capasso V, Micheletti A. . ‘Optimal control of polymer morphologies.’ J. Eng. Math. 49: 339-358.
  • Burger M, Engl H, Leitao A, Markowich P. . ‘On inverse problems for semiconductor equations.’ Milan J. Math. 72: 273-314.
  • Burger M. . ‘Levenberg-Marquardt level set methods for inverse obstacle problems.’ Inverse Problems 20: 673-696.
  • Ben Ameur H, Burger M, Hackl B. . ‘Level set methods for geometric inverse problems in linear elasticity.’ Inverse Problems 20: 673-696.
  • Burger M, Osher S, Yablonovitch E. . ‘Inverse problem techniques for the design of photonic crystals.’ IEICE Transactions on Electronics 87 C: 258-265.
  • Burger M, Hackl B, Ring W. . ‘Incorporating topological derivatives into level set methods.’ J. Comp. Phys. 194: 344-362.
  • Burger M. . ‘Growth of multiple crystals in polymer melts.’ European J. Appl. Math. 15: 347-363.
  • Burger M, Osher S. . ‘Convergence rates of convex variational regularization.’ Inverse Problems 20: 1411-1421.

  • 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, No. 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, No. 3: 185-196. doi: 10.1016/S0010-4825(02)00085-9.
  • Haasdonk B, Ohlberger M, Rumpf M, Schmidt A, Siebert K. . ‘Multiresolution Visualization of Higher Order Adaptive Finite Element Simulations.’ Computing 70, No. Computing: 181--204.
  • Küther M, Ohlberger M. . ‘Adaptive second order central schemes on unstructured staggered grids.’.
  • 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.
  • Engwer C. . Direkte Simulation von Transportprozessen im Boden zur Bestimmung makroskopischer Parameter.
  • Burger M, Markowich P. . ‘Model reduction for semiconductor inverse dopant profiling.’ In Proceedings of the 4th IMACS Symposium on Mathematical Modelling, edited by Troch I, Breitenecker F.
  • Burger M. . ‘Growth and impingement in polymer melts.’ Contributed to the FBP 2002, Trento.
  • Burger M, Pinnau R. . ‘Fast optimal design of semiconductor devices.’ SIAM J. Appl. Math. 64: 108-126.
  • Burger M. . ‘A framework for the construction of level set methods for shape optimization and reconstruction.’ Interfaces and Free Boundaries 5: 301-329.
  • Burger M, Markowich P. . ‘Model reduction for semiconductor inverse dopant profiling.’ Contributed to the 4th IMACS Symposium on Mathematical Modelling, Wien, Österreich.

  • Bürkle D, Ohlberger M. . ‘Adaptive finite volume methods for displacement problems in porous media.’ Comp. Vis. Sci. 5, No. 2: 95 - 106.
  • 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, No. 2: 253 -280.
  • Haslinger J, Bodenhofer U, Burger M. . ‘Tuning of fuzzy systems as an ill-posed problem.’ Contributed to the ECMI 2000, Palermo.
  • Karlsen KH, Ohlberger M. . ‘A note on the uniqueness of entropy solutions of nonlinear degenerate parabolic equations.’ J. Math. Anal. Appl. 275: 439-458.
  • Haslinger J, Bodenhofer U, Burger M. . ‘Tuning of fuzzy systems as an ill-posed problem.’ Contributed to the ECMI 2000, Palermo.
  • Burger M, Haslinger J, Engl H, Bodenhofer U. . ‘Regularized data-driven construction of fuzzy controllers.’ J. Inverse Ill-Posed Problems 10: 319-344.
  • Capasso V, Burger M, Micheletti A, Salani C. . ‘Mathematical models for polymer crystallization processes.’ In Mathematical modelling for polymer industry, edited by Capasso V, 167-242. Springer.
  • Burger M, Capasso V, Eder G. . ‘Modelling crystallization of polymers in temperature fields.’ ZAMM 82: 51-63.
  • 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.
  • Burger M, Neubauer A. . ‘Analysis of Tikhonov regularization for function approximation by neural networks.’ Neural Networks 16: 79-90.
  • Burger M, Engl H, Markowich P. . ‘Inverse doping problems for semiconductor devices.’ Contributed to the Recent Progress in Computational and Applied PDEs.
  • 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.
  • Klöfkorn R, Kröner D, Ohlberger M. . ‘Local adaptive methods for convection dominated problems.’ International Journal for Numerical Methods in Fluids 40, No. 1-2: 79 - 91.
  • 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.
  • Dreyer W, Herrmann M, Kunik M. . Kinetic schemes and initial boundary value problems for the Euler system.’ Transport Theory Statist. Phys. 31, No. 1: 1-33. doi: 10.1081/TT-120003009.
  • Burger M, Mühlhuber W. . Numerical approximation of an SQP-type method for parameter identification.’ SIAM J. Numer. Anal. 40, No. 5: 1775--1797. doi: doi:10.1137/S0036142901389980.

  • Heinze S, Papanicolaou G, Stevens A. . Variational principles for propagation speeds in inhomogeneous media.’ SIAM Journal on Applied Mathematics 62, No. 1: 129-148.
  • 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 , .
  • 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.
  • Ohlberger M. . ‘A posteriori error estimate for finite volume approximations to singularly perturbed nonlinear convection-diffusion equations.’ Numerische Mathematik 87, No. 4: 737 - 761.
  • Burger M, Scherzer O. . ‘Regularization methods for blind deconvolution and blind source separation problems.’ Mathematics of Control, Signals and Systems 14: 358-383.
  • 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.
  • Burger M. . ‘Iterative regularization of a parameter identification problem occurring in polymer crystallization.’ SIAM J. Numer. Anal. 39, No. 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, Engl H, Markowich P, Pietra P. . ‘Identification of doping profiles in semiconductor device.’ Inverse Problems 17: 1765-1795.
  • Burger M, Neubauer A. . ‘Error bounds for approximation with neural networks.’ J. Approx. Theory 112: 235-250.
  • Burger M. . ‘A level set method for inverse problems.’ Inverse Problems 17: 1327-1356.
  • Micheletti A, Burger M. . Stochastic and deterministic simulation of nonisothermal crystallization of polymers.’ J. Math. Chem. 30, No. 2: 169--193. doi: doi:10.1023/A:1017923703579.
  • Natterer F, Wübbeling F. . Mathematical methods in image reconstruction. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM). doi: 10.1118/1.1455744.

  • Stevens A. . ‘The derivation of chemotaxis equations as limit dynamics of moderately interacting stochastic many-particle systems.’ SIAM Journal on Applied Mathematics 61, No. 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.
  • Kröner D, Ohlberger M. . ‘A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multidimensions.’ Math. Comp. 69: 25-39.
  • Burger M, Engl H. . ‘Training neural networks with noisy data as an ill-posed problem.’ Adv. Comp. Math 13, No. Adv. Comp. Math: 335-354.

  • 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, No. 4: 221 - 229.
  • Ohlberger M, Rumpf M. . ‘Adaptive protection operators in multiresolution scientific visualizations.’ IEEE Transactions on Visualization and Computer Graphics 5, No. 1: 74 - 94.
  • Ohlberger M. . ‘Adaptive mesh refinement for single and two phase flow problems in porous media.’.
  • 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 , .
  • Burger M, Capasso V, Eder G, Engl H. . ‘Modelling and parameter-identification in non-isothermal crystallization of polymers.’ Contributed to the EcMI 98, Gothenburg.
  • Burger M, Capasso V, Engl H. . ‘Inverse problems related to crystallization of polymers.’ Inverse Problems 15, No. Inverse Problems: 155-173.

  • Ohlberger M, Schwörer R. . Challenges in Fluid Dynamics.
  • Sonoc, C. . ‘On the Pathwise Uniqueness of Solutions of Stochastic Differential Equations.’ Portugaliae Mathematica 55: 451-456.

  • Othmer HG, Stevens A. . Aggregation, blowup, and collapse: The ABC'S of taxis in reinforced random walks.’ SIAM Journal on Applied Mathematics 57, No. 4: 1044-1081.
  • Stevens A, Schweitzer F. . ‘Aggregation induced by diffusing and non-diffusing media.’ In Dynamics of Cell and Tissue Motion, edited by Alt W, Deutsch A, Dunn G., 183-192. Birkhäuser.
  • Ohlberger M, Rumpf M. . ‘Hierarchical and adaptive visualization on nested grids.’ Computing 59, No. Computing: 365 - 385.
  • Neubauer R, Ohlberger M, Rumpf M, Schwörer R. . ‘Efficient visualization of large-scale data on hierarchical meshes.’.
  • 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, No. 3: 183 - 210.
  • Sonoc, C. . ‘The Cauchy Problem for Seismic Wave Propagation.’ Analele Univ. de Vest din Timisoara, Seria Matematica/Informatica XXXV: 299-305.

  • Stevens A. . ‘Simulation of chemotaxis-equations in two space dimensions.’ In Nonlinear Physics of Complex Systems - Current Status and Future Trends, edited by Parisi 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.’ In Nonlinear wave processes in excitable media, edited by Holden A, Markus M, Othmer H G, 269-276.

  • Stevens A. . ‘Simulations of the aggregation and gliding behavior of Myxobacteria.’ In Biological motion. Lecture Notes in Biomathematics 89, edited by Alt W, Hoffmann G, 548-555. Springer.