Résumé
geboren 1976 in Wels, Österreich. Verheiratet mit Bettina. Töchter: Sanna und Enni.
Studium in Mathematik an der Johannes Kepler Universität Linz und der Universität Mailand, Diplom 1998.
Doktor der Naturwissenschaften in Mathematik an der Johannes Kepler Universität Linz, 2000.
Wissenschaftlicher Mitarbeiter und Postdoc im SFB “Numerical and Symbolic Scientific Computing” an der Johannes Kepler Universität Linz, 1999 – 2000.
Zivildienst im Hilfswerk Österreich, Linz, 2001.
Assistentenstelle am Industrial Mathematics Institute der Johannes Kepler Universität Linz, 2002 – 2003 und 2004 – 2006.
CAM Assistenzprofessur, UCLA, 2003 – 2004.
Wissenschaftlicher Berater am RICAM Linz, 2005 – 2006.
Habilitation (venia docendi) an der Johannes Kepler Universität Linz, 2005.
Universitätsprofessur für Angewandte Mathematik an der WWU Münster, 2006 – 2018.
Universitätsprofessur für Angewandte Mathematik an der FAU Erlangen-Nürnberg, seit 2018.
Publications
Full list of publications
2020
Berendsen J. , Burger M. Ehrlacher V. , Pietschmann JF. :Uniqueness of strong solutions and weak–strong stability in a system of cross-diffusion equations Journal of Evolution Equations 2019 )ISSN: 1424-3199 10.1007/s00028-019-00534-4 Download Bungert L. , Burger M. Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type Journal of Evolution Equations 2019 )ISSN: 1424-3199 10.1007/s00028-019-00545-1 https://arxiv.org/abs/1906.09856 Download Bungert L. , Burger M. Solution paths of variational regularization methods for inverse problems Inverse Problems 2019 )ISSN: 0266-5611 10.1088/1361-6420/ab1d71 https://arxiv.org/abs/1808.01783 Download Bungert L. , Burger M. Chambolle A. , Novaga M. :Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals Analysis & Pde 2019 )ISSN: 1948-206X https://arxiv.org/abs/1901.06979 Download Bungert L. , Burger M. Tenbrinck D. Computing Nonlinear Eigenfunctions via Gradient Flow Extinction SSVM 2019 (Hofgeismar 30-06-2019 - 04-07-2019 )10.1007/978-3-030-22368-7_23 https://arxiv.org/abs/1902.10414 Download Burger M. Föcke L. Nickel L. , Jung P. , Augustin S. :Reconstruction Methods in THz Single-Pixel Imaging In: Holger Boche, Giuseppe Caire, Robert Calderbank, Gitta Kutyniok, Rudolf Mathar, Philipp Petersen (ed.): Compressed Sensing and Its Applications Springer International Publishing 2019 , p. 263-290 (Applied and Numerical Harmonic Analysis) 10.1007/978-3-319-73074-5_9 Download Burger M. Haskovec J. , Markowich P. , Ranetbauer H. :A MESOSCOPIC MODEL OF BIOLOGICAL TRANSPORTATION NETWORKS Communications in Mathematical Sciences 17 2019 ), p. 1213-1234 ISSN: 1539-6746 10.4310/cms.2019.v17.n5.a3 Download Burger M. Korolev Y. , Rasch J. :Convergence rates and structure of solutions of inverse problems with imperfect forward models Inverse Problems 35 2019 ), Article No.: 024006 ISSN: 0266-5611 10.1088/1361-6420/aaf6f5 Download Burger M. Korolev Y. , Schönlieb CB. , Stollenwerk C. :A Total Variation Based Regularizer Promoting Piecewise-Lipschitz Reconstructions 7th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2019 (Hofgeismar 30-06-2019 - 04-07-2019 )In: Jan Lellmann, Jan Modersitzki, Martin Burger (ed.): Lecture Notes in Computer Science 2019 10.1007/978-3-030-22368-7_38 Download
2019
Berendsen J. , Burger M. Ehrlacher V. , Pietschmann JF. :Uniqueness of strong solutions and weak–strong stability in a system of cross-diffusion equations Journal of Evolution Equations 2019 )ISSN: 1424-3199 10.1007/s00028-019-00534-4 Download Bungert L. , Burger M. Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type Journal of Evolution Equations 2019 )ISSN: 1424-3199 10.1007/s00028-019-00545-1 https://arxiv.org/abs/1906.09856 Download Bungert L. , Burger M. Solution paths of variational regularization methods for inverse problems Inverse Problems 2019 )ISSN: 0266-5611 10.1088/1361-6420/ab1d71 https://arxiv.org/abs/1808.01783 Download Bungert L. , Burger M. Chambolle A. , Novaga M. :Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals Analysis & Pde 2019 )ISSN: 1948-206X https://arxiv.org/abs/1901.06979 Download Bungert L. , Burger M. Tenbrinck D. Computing Nonlinear Eigenfunctions via Gradient Flow Extinction SSVM 2019 (Hofgeismar 30-06-2019 - 04-07-2019 )10.1007/978-3-030-22368-7_23 https://arxiv.org/abs/1902.10414 Download Burger M. Föcke L. Nickel L. , Jung P. , Augustin S. :Reconstruction Methods in THz Single-Pixel Imaging In: Holger Boche, Giuseppe Caire, Robert Calderbank, Gitta Kutyniok, Rudolf Mathar, Philipp Petersen (ed.): Compressed Sensing and Its Applications Springer International Publishing 2019 , p. 263-290 (Applied and Numerical Harmonic Analysis) 10.1007/978-3-319-73074-5_9 Download Burger M. Haskovec J. , Markowich P. , Ranetbauer H. :A MESOSCOPIC MODEL OF BIOLOGICAL TRANSPORTATION NETWORKS Communications in Mathematical Sciences 17 2019 ), p. 1213-1234 ISSN: 1539-6746 10.4310/cms.2019.v17.n5.a3 Download Burger M. Korolev Y. , Rasch J. :Convergence rates and structure of solutions of inverse problems with imperfect forward models Inverse Problems 35 2019 ), Article No.: 024006 ISSN: 0266-5611 10.1088/1361-6420/aaf6f5 Download Burger M. Korolev Y. , Schönlieb CB. , Stollenwerk C. :A Total Variation Based Regularizer Promoting Piecewise-Lipschitz Reconstructions 7th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2019 (Hofgeismar 30-06-2019 - 04-07-2019 )In: Jan Lellmann, Jan Modersitzki, Martin Burger (ed.): Lecture Notes in Computer Science 2019 10.1007/978-3-030-22368-7_38 Download
2018
Brinkmann EM. , Burger M. Grah JS. :Unified Models for Second-Order TV-Type Regularisation in Imaging: A New Perspective Based on Vector Operators Journal of Mathematical Imaging and Vision 2018 )ISSN: 0924-9907 10.1007/s10851-018-0861-6 https://arxiv.org/pdf/1802.01895.pdf Download Burger M, Dirks H, Schonlieb CB:A Variational Model for Joint Motion Estimation and Image Reconstruction Siam Journal on Imaging Sciences 11 2018 ), p. 94-128 ISSN: 1936-4954 10.1137/16M1084183 https://arxiv.org/pdf/1607.03255 Download
Schuster T, Hahn B, Burger M:Dynamic inverse problems: modelling-regularization-numerics Preface Inverse Problems 34 2018 )ISSN: 0266-5611 10.1088/1361-6420/aab0f5 Download
Rasch J, Kolehmainen V, Nivajarvi R, Kettunen M, Grohn O, Burger M, Brinkmann EM:Dynamic MRI reconstruction from undersampled data with an anatomical prescan Inverse Problems 34 2018 )ISSN: 0266-5611 10.1088/1361-6420/aac3af https://arxiv.org/pdf/1712.00099.pdf Download
Ding QQ, Burger M, Zhang XQ:Dynamic SPECT reconstruction with temporal edge correlation Inverse Problems 34 2018 )ISSN: 0266-5611 10.1088/1361-6420/aa9a94 https://arxiv.org/pdf/1707.00158.pdf Download
Rasch J, Brinkmann EM, Burger M:Joint reconstruction via coupled Bregman iterations with applications to PET-MR imaging Inverse Problems 34 2018 )ISSN: 0266-5611 10.1088/1361-6420/aa9425 https://arxiv.org/pdf/1704.06073.pdf Download
Benning M, Burger M:Modern regularization methods for inverse problems Acta Numerica 27 2018 ), p. 1-111 ISSN: 0962-4929 10.1017/S0962492918000016 https://arxiv.org/pdf/1801.09922.pdf Download
Burger M, During B, Kreusser LM, Markowich PA, Schonlieb CB:Pattern formation of a nonlocal, anisotropic interaction model Mathematical Models & Methods in Applied Sciences 28 2018 ), p. 409-451 ISSN: 0218-2025 10.1142/S0218202518500112 https://arxiv.org/pdf/1610.08108.pdf Download
Burger M, Di Francesco M, Fagioli S, Stevens A:SORTING PHENOMENA IN A MATHEMATICAL MODEL FOR TWO MUTUALLY ATTRACTING/REPELLING SPECIES SIAM Journal on Mathematical Analysis 50 2018 ), p. 3210-3250 ISSN: 0036-1410 10.1137/17M1125716 https://arxiv.org/pdf/1704.04179.pdf Download
Agapiou S, Burger M, Dashti M, Helin T:Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems Inverse Problems 34 2018 )ISSN: 0266-5611 10.1088/1361-6420/aaacac https://arxiv.org/pdf/1705.03286.pdf Download
Föcke L. Baumgarten D. , Burger M. The inverse problem of magnetorelaxometry imaging Inverse Problems 34 2018 ), Article No.: ARTN 115008 ISSN: 0266-5611 10.1088/1361-6420/aadbbf Download Reips L. , Burger M. Engbers R. :Towards dynamic PET reconstruction under flow conditions: Parameter identification in a PDE model Journal of Inverse and Ill-posed Problems 26 2018 ), p. 185-200 ISSN: 0928-0219 10.1515/jiip-2015-0016 Download
2017
Benning M. , Moeller M. , Nossek RZ. , Burger M. Cremers D. , Gilboa G. , Schonilibe CB. :Nonlinear spectral image fusion 6th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2017 (Kolding, DNK 04-06-2017 - 08-06-2017 )In: Francois Lauze, Yiqiu Dong, Anders Bjorholm Dahl (ed.): Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) 2017 10.1007/978-3-319-58771-4_4 Download Chien T., Dinh K., Jeon B., Burger M.:Block compressive sensing of image and video with nonlocal Lagrangian multiplier and patch-based sparse representation Signal Processing-Image Communication 54 2017 ), p. 93-106 ISSN: 0923-5965 10.1016/j.image.2017.02.012 Download
Berendsen J., Burger M., Pietschmann J.:On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion Nonlinear Analysis - Theory Methods & Applications 159 2017 ), p. 10-39 ISSN: 0362-546X 10.1016/j.na.2017.03.010 Download
Burger M. Lorz A. , Wolfram MT. :Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth Kinetic and Related Models 10 2017 ), p. 117-140 ISSN: 1937-5093 10.3934/krm.2017005 Download Grah JS. , Harrington JA. , Koh SB. , Pike JA. , Schreiner A. , Burger M. Schonlieb CB. , Reichelt S. :Mathematical imaging methods for mitosis analysis in live-cell phase contrast microscopy Methods null 2017 )ISSN: 1046-2023 10.1016/j.ymeth.2017.02.001 Download Neugebauer F. , Moeddel G. , Rampp S. , Burger M. Wolters CH. :The effect of head model simplification on beamformer source localization Frontiers in Neuroscience 11 2017 )ISSN: 1662-4548 10.3389/fnins.2017.00625 Download
2016
Brinkmann EM. , Burger M. Rasch J. , Sutour C. :Bias-Reduction in Variational Regularization Journal of Mathematical Imaging and Vision Special Issue MIA 2016 2016 )ISSN: 0924-9907 10.1007/s10851-017-0747-z Download Bruna M. , Burger M. Ranetbauer H. , Wolfram MT. :Cross-Diffusion Systems with Excluded-Volume Effects and Asymptotic Gradient Flow Structures Journal of Nonlinear Science null 2016 ), p. 1-33 ISSN: 0938-8974 10.1007/s00332-016-9348-z Download Burger M. Bregman distances in inverse problems and partial differential equations In: J.Hiriard-Urrurty, A.Korytowski, H.Maurer, M.Szymkat (ed.): Advances in Mathematical
Modeling, Optimization, and Optimal Control Springer International Publishing 2016 , p. 3-33 (Springer Optimization and Its Applications) 10.1007/978-3-319-30785-5_2 Download Burger M. Gilboa G. , Moeller M. , Eckardt L. , Cremers D. :Spectral decompositions using one-homogeneous functionals Siam Journal on Imaging Sciences 9 2016 ), p. 1374-1408 ISSN: 1936-4954 10.1137/15M1054687 Download Burger M. Hittmeir S. , Ranetbauer H. , Wolfram MT. :Lane formation by side-stepping SIAM Journal on Mathematical Analysis 48 2016 ), p. 981-1005 ISSN: 0036-1410 10.1137/15M1033174 Download Burger M. Lorz A. , Wolfram MT. :On a Boltzmann mean field model for knowledge growth SIAM Journal on Applied Mathematics 76 2016 ), p. 1799-1818 ISSN: 0036-1399 10.1137/15M1018599 Download Burger M. Pietschmann JF. :Flow characteristics in a crowded transport model Nonlinearity 29 2016 ), p. 3528-3550 ISSN: 0951-7715 10.1088/0951-7715/29/11/3528 Download Burger M. Rossmanith C. , Zhang X. :Simultaneous reconstruction and segmentation for dynamic SPECT imaging Inverse Problems 32 2016 )ISSN: 0266-5611 10.1088/0266-5611/32/10/104002 Download Gilboa G. , Moeller M. , Burger M. Nonlinear Spectral Analysis via One-Homogeneous Functionals: Overview and Future Prospects Journal of Mathematical Imaging and Vision 56 2016 ), p. 300-319 ISSN: 0924-9907 10.1007/s10851-016-0665-5 Download Mannweiler D. , Suhr S. , Modersitzki J. , Burger M. Variational method for motion corrected reconstruction with MRI information in positron emission tomography 2015 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2015 (usa 10.1109/NSSMIC.2015.7582045 Download Wagner S. , Burger M. Wolters CH. :An optimization approach for well-targeted transcranial direct current stimulation SIAM Journal on Applied Mathematics 76 2016 ), p. 2154-2174 ISSN: 0036-1399 10.1137/15M1026481 http://epubs.siam.org/doi/10.1137/15M1026481 Download Wagner S. , Lucka F. , Vorwerk J. , Herrmann CS. , Nolte G. , Burger M. Wolters CH. :Using reciprocity for relating the simulation of transcranial current stimulation to the EEG forward problem NeuroImage 140 2016 ), p. 163-173 ISSN: 1053-8119 10.1016/j.neuroimage.2016.04.005 Download
Older publications
2015
Brinkmann EM. , Burger M. Grah J. :Regularization with sparse vector fields: From image compression to TV-type reconstruction 5th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2015 (Bordeaux 10.1007/978-3-319-18461-6_16 Download Burger M. Eckardt L. , Gilboa G. , Moeller M. :Spectral representations of one-homogeneous functionals 5th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2015 (fra 10.1007/978-3-319-18461-6_2 Download Burger M. Elvetun OL. , Schlottbom M. :Analysis of the Diffuse Domain Method for Second Order Elliptic Boundary Value Problems Foundations of Computational Mathematics null 2015 )ISSN: 1615-3375 10.1007/s10208-015-9292-6 Download Burger M. Elvetun OL. , Schlottbom M. :Diffuse interface methods for inverse problems: case study for an elliptic Cauchy problem Inverse Problems 31 2015 )ISSN: 0266-5611 10.1088/0266-5611/31/12/125002 Download Burger M. Esposito T. , Zeppieri CI. :Second-order edge-penalization in the ambrosio-tortorelli functional Multiscale Modeling & Simulation 13 2015 ), p. 1354-1389 ISSN: 1540-3459 10.1137/15M1020848 Download Burger M. Kaltenbacher B. , Neubauer A. :Iterative Solution Methods In: Scherzer, O (ed.): Handbook of Mathematical Methods in Imaging: Volume 1, Second Edition Springer New York 2015 , p. 431-470 ISBN: 9781493907892 10.1007/978-1-4939-0790-8_9 Download Heins P. , Moeller M. , Burger M. Locally sparse reconstruction using the l1,∞-norm Inverse Problems and Imaging 9 2015 ), p. 1093-1137 ISSN: 1930-8337 10.3934/ipi.2015.9.1093 Download Helin T. , Burger M. Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems Inverse Problems 31 2015 )ISSN: 0266-5611 10.1088/0266-5611/31/8/085009 Download Schmidt C. , Wagner S. , Burger M. Van Rienen U. , Wolters CH. :Impact of uncertain head tissue conductivity in the optimization of transcranial direct current stimulation for an auditory target Journal of Neural Engineering 12 2015 )ISSN: 1741-2560 10.1088/1741-2560/12/4/046028 Download
2014
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 2014 )ISSN: 1364-503X 10.1098/rsta.2013.0406 Download
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 2014 ), p. 1353-1361 ISSN: 1539-6746 10.4310/CMS.2014.v12.n7.a10 Download
Burger M. Di Francesco M. , Markowich PA. , Wolfram MT. :Mean field games with nonlinear mobilities in pedestrian dynamics Discrete and Continuous Dynamical Systems-Series B 19 2014 ), p. 1311-1333 ISSN: 1531-3492 10.3934/dcdsb.2014.19.1311 Download Burger M. Fetecau R. , Huang Y. :Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion SIAM Journal on Applied Dynamical Systems 13 2014 ), p. 397-424 ISSN: 1536-0040 10.1137/130923786 Download Burger M. Lucka F. :Maximum a posteriori estimates in linear inverse problems with log-concave priors are proper Bayes estimators Inverse Problems 30 2014 )ISSN: 0266-5611 10.1088/0266-5611/30/11/114004 Download Burger M. Modersitzki J. , Tenbrinck D. Mathematical methods in biomedical imaging GAMM-Mitteilungen 37 2014 ), p. 154-183 ISSN: 0936-7195 10.1002/gamm.201410008 Download 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 2014 )ISSN: 0266-5611 10.1088/0266-5611/30/10/105003 Download
Moeller M. , Brinkmann EM. , Burger M. Seybold T. :Color Bregman TV Siam Journal on Imaging Sciences 7 2014 ), p. 2771-2806 ISSN: 1936-4954 10.1137/130943388 Download Moeller M. , Burger M. Dieterich P. , Schwab A. :A framework for automated cell tracking in phase contrast microscopic videos based on normal velocities Journal of Visual Communication and Image Representation 25 2014 ), p. 396-409 ISSN: 1047-3203 10.1016/j.jvcir.2013.12.002 Download Suhr S. , Tenbrinck D. Burger M. Modersitzki J. :Registration of noisy images via maximum a-posteriori estimation Lecture Notes in Computer Science 8545 LNCS 2014 ), p. 231-240 ISSN: 0302-9743 10.1007/978-3-319-08554-8_24 Download
2013
Benning M. , Brune C. , Burger M. Mueller J. :Higher-order TV methods - Enhancement via Bregman iteration Journal of Scientific Computing 54 2013 ), p. 269-310 ISSN: 0885-7474 10.1007/s10915-012-9650-3 Download Burger M. Caffarelli L. , Markowich PA. , Wolfram MT. :On a Boltzmann-type price formation model Proceedings of the Royal Society A-Mathematical Physical and Engineering Sciences 469 2013 )ISSN: 1364-5021 10.1098/rspa.2013.0126 Download Burger M. Di Francesco M. , Franek M. :Stationary states of quadratic diffusion equations with long-range attraction Communications in Mathematical Sciences 11 2013 ), p. 709-738 ISSN: 1539-6746 10.4310/CMS.2013.v11.n3.a3 Download Burger M. Di Francesco M. , Markowich PA. , Wolfram MT. :On a mean field game optimal control approach modeling fast exit scenarios in human crowds Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on (Firenze 10.1109/CDC.2013.6760360 Download Burger M. Flemming J. , Hofmann B. :Convergence rates in ℓ1-regularization if the sparsity assumption fails Inverse Problems 29 2013 )ISSN: 0266-5611 10.1088/0266-5611/29/2/025013 Download Burger M. Haskovec J. , Wolfram MT. :Individual based and mean-field modeling of direct aggregation Physica D-Nonlinear Phenomena 260 2013 ), p. 145-158 ISSN: 0167-2789 10.1016/j.physd.2012.11.003 Download Burger M. Osher S. :A guide to the TV zoo In: Burger Martin, Osher Stanley (ed.): Level Set and PDE-based Reconstruction Methods 2013 , p. 1-70 (Lecture Notes in Mathematics)ISBN: 9783319017112 10.1007/978-3-319-01712-9-1 Download Burger M. Pietschmann JF. , Wolfram MT. :Identification of nonlinearities in transport-diffusion models of crowded motion Inverse Problems and Imaging 7 2013 ), p. 1157-1182 ISSN: 1930-8337 10.3934/ipi.2013.7.1157 Download Eppelmann U. , Gottardo F. , Wistuba J. , Ehmcke J. , Kossack N. , Westernstroeer B. , Redmann K. , Wuebbeling F. , Burger M. Tuettelmann F. , Kliesch S. , Mallidis C. :Raman microspectroscopic discrimination of TCam-2 cultures reveals the presence of two sub-populations of cells Cell and Tissue Research 354 2013 ), p. 623-632 ISSN: 0302-766X 10.1007/s00441-013-1684-9 Download Gigengack F. , Ruthotto L. , Jiang X. , Modersitzki J. , Burger M. Hermann S. , Schäfers KP. :Atlas-based whole-body PET-CT segmentation using a passive contour distance Lecture Notes in Computer Science 7766 LNCS 2013 ), p. 82-92 ISSN: 0302-9743 10.1007/978-3-642-36620-8_9 Download Lang T. , Dechant M. , Sanchez V. , Wistuba J. , Boiani M. , Pilatz A. , Stammler A. , Middendorff R. , Schuler G. , Bhushan S. , Tchatalbachev S. , Wuebbeling F. , Burger M. Chakraborty T. , Mallidis C. , Meinhardt A. :Structural and functional integrity of spermatozoa is compromised as a consequence of acute uropathogenic E. Coli-associated epididymitis Biology of Reproduction 89 2013 )ISSN: 0006-3363 10.1095/biolreprod.113.110379 Download Moeller M. , Burger M. Multiscale methods for polyhedral regularizations SIAM Journal on Optimization 23 2013 ), p. 1424-1456 ISSN: 1052-6234 10.1137/110858136 Download Pietschmann J-. , Wolfram M-. , Burger M. Trautmann C. , Nguyen G. , Pevarnik M. , Bayer V. , Siwy Z. :Rectification properties of conically shaped nanopores: Consequences of miniaturization Physical Chemistry Chemical Physics 15 2013 ), p. 16917-16926 ISSN: 1463-9076 10.1039/c3cp53105h Download Sawatzky A. , Brune C. , Kösters T. , Wübbeling F. , Burger M. EM-TV methods for inverse problems with poisson noise In: Burger Martin, Osher Stanley (ed.): Level Set and PDE-based Reconstruction Methods Springer 2013 , p. 71-142 (Lecture Notes in Mathematics)ISBN: 9783319017112 10.1007/978-3-319-01712-9-2 Download Sawatzky A. , Tenbrinck D. Jiang X. , Burger M. A Variational Framework for Region-Based Segmentation Incorporating Physical Noise Models Journal of Mathematical Imaging and Vision 47 2013 ), p. 179-209 ISSN: 0924-9907 10.1007/s10851-013-0419-6 Download
2012
Burger M. Franek M. , Schönlieb CB. :Regularized regression and density estimation based on optimal transport Applied Mathematics Research eXpress 2012 2012 ), p. 209-253 ISSN: 1687-1200 10.1093/amrx/abs007 Download Burger M. Möller M. , Benning M. , Osher S. :An adaptive inverse scale space method for compressed sensing Mathematics of Computation 2012 )ISSN: 0025-5718 10.1090/S0025-5718-2012-02599-3 Download Engbers R. , Benning M. , Heins P. , Schäfers K. , Burger M. Sparse recovery in myocardial blood flow quantification via PET IEEE NSS/MIC (San Diego 10.1109/NSSMIC.2011.6153707 Download Gigengack F. , Ruthotto L. , Burger M. Wolters CH. , Jiang X. , Schaefers KP. :Motion Correction in Dual Gated Cardiac PET Using Mass-Preserving Image Registration. IEEE Transactions on Medical Imaging 31 2012 ), p. 698-712 ISSN: 0278-0062 10.1109/TMI.2011.2175402 Download Gigengack F. , Ruthotto L. , Burger M. Wolters CH. , Jiang X. , Schäfers KP. :Mass-preserving motion correction of PET: Displacement field vs. spline transformation 2011 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2011 (Valencia, esp 10.1109/NSSMIC.2011.6152559 Download Gigengack F. , Ruthotto L. , Kosters T. , Jiang X. , Modersitzki J. , Burger M. Hermann S. , Schafers KP. :Atlas-based segmentation using passive contours 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference Record, NSS/MIC 2012 (Anaheim, CA, usa 10.1109/NSSMIC.2012.6551688 Download Gigengack F. , Ruthotto L. , Kosters T. , Jiang X. , Modersitzki J. , Burger M. Wolters CH. , Schafers KP. :Pipeline for motion correction in dual gated PET 2012 IEEE Nuclear Science Symposium and Medical Imaging Conference Record, NSS/MIC 2012 (Anaheim, CA, usa 10.1109/NSSMIC.2012.6551681 Download Lanfer B. , Scherg M. , Dannhauer M. , Knoesche TR. , Burger M. Wolters CH. :Influences of skull segmentation inaccuracies on EEG source analysis. NeuroImage 62 2012 ), p. 418-31 ISSN: 1053-8119 10.1016/j.neuroimage.2012.05.006 Download 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 2012 ), p. 1364-82 ISSN: 1053-8119 10.1016/j.neuroimage.2012.04.017 Download Moeller M. , Wittman T. , Bertozzi AL. , Burger M. A variational approach for sharpening high dimensional images Siam Journal on Imaging Sciences 5 2012 ), p. 150-178 ISSN: 1936-4954 10.1137/100810356 Download Müller J. , Brune C. , Sawatzky A. , Kösters T. , Schäfers KP. , Burger M. Reconstruction of short time PET scans using Bregman iterations 2011 IEEE Nuclear Science Symposium and Medical Imaging Conference, NSS/MIC 2011 (Valencia, esp 10.1109/NSSMIC.2011.6153884 Download Ruthotto L. , Gigengack F. , Burger M. Wolters CH. , Jiang X. , Schäfers KP. , Modersitzki J. :A simplified pipeline for motion correction in dual gated cardiac PET Workshops Bildverarbeitung fur die Medizin: Algorithmen - Systeme - Anwendungen, BVM 2012 - Workshop on Image Processing for Medicine: Algorithms - Systems - Applications, BVM 2012 (Berlin, deu 10.1007/978-3-642-28502-8-11 Download 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 2012 ), p. 5715-31 ISSN: 0031-9155 10.1088/0031-9155/57/18/5715 Download Sanchez V. , Redmann K. , Wistuba J. , Wuebbeling F. , Burger M. Oldenhof H. , Wolkers WF. , Kliesch S. , Schlatt S. , Mallidis C. :Oxidative DNA damage in human sperm can be detected by Raman microspectroscopy Fertility and Sterility 98 2012 )ISSN: 0015-0282 10.1016/j.fertnstert.2012.07.1059 Download Stueck R. , Burger M. Hohage T. :The iteratively regularized Gauss-Newton method with convex constraints and applications in 4pi-microscopy Inverse Problems 28 2012 )ISSN: 0266-5611 10.1088/0266-5611/28/1/015012 http://iopscience.iop.org/0266-5611/28/1/015012 Download Tenbrinck D. Sawatzky A. , Jiang X. , Burger M. Haffner W. , Willems P. , Paul M. , Stypmann J. :Impact of physical noise modeling on image segmentation in echocardiography 3rd Eurographics Workshop on VisualComputing in Biology and Medicine, EG VCBM 2012 (Norrkoping, swe 10.2312/VCBM/VCBM12/033-040 Download Vorwerk J. , Clerc M. , Burger M. Wolters CH. :Comparison of boundary element and finite element approaches to the EEG forward problem. Biomedizinische Technik 57 Suppl 1 2012 )ISSN: 0013-5585 10.1515/bmt-2012-4152 Download Wagner S. , Lucka F. , Burger M. Grasedyck L. , Haueisen J. , Wolters CH. :Comparison of direct and reciprocal forward modeling approaches in EEG source analysis Biomedizinische Technik 57 1 2012 ), p. - ISSN: 0013-5585 10.1515/bmt-2012-4069 Download
2011
Benning M. , Burger M. Error estimates for general fidelities Electronic Transactions on Numerical Analysis 38 2011 ), p. 44-68 ISSN: 1068-9613 Download Brune C. , Sawatzky A. , Burger M. Primal and Dual Bregman Methods with Application to Optical Nanoscopy International Journal of Computer Vision 92 2011 ), p. 211-229 ISSN: 0920-5691 10.1007/s11263-010-0339-5 Download Burger M, Markowich P, Pietschmann J:Continuous limit of a crowd motion and herding model: Analysis and numerical simulations Kinetic and Related Models 4 2011 ), p. 1025-1047 ISSN: 1937-5093 Download
Sanchez V, Wistuba J, Wubbeling F, Burger M, Schlatt S, Mallidis C:Detection of Sperm DNA damage by Raman microspectroscopy 10.1016/j.fertnstert.2011.07.900 Download
Burger M. Inverse problems in ion channel modelling Inverse Problems 27 2011 )ISSN: 0266-5611 10.1088/0266-5611/27/8/083001 Download Burger M. Matevosyan N. , Wolfram MT. :A level set based shape optimization method for an elliptic obstacle problem Mathematical Models & Methods in Applied Sciences 21 2011 ), p. 619-649 ISSN: 0218-2025 10.1142/S0218202511005155 Download Burger M. Modersitzki J. , Ruthotto L. :A hyperelastic regularization energy for image registration SIAM Journal on Scientific Computing 2011 )ISSN: 1064-8275 10.1137/110835955 Download Burger M. Pinnau R. :Optimization Models for Semiconductor Devices 2011 Download Burger M. Schlake B. , Wolfram MT. :Nonlinear Poisson-Nernst Planck equations for ion flux through confined geometries Nonlinearity 2011 )ISSN: 0951-7715 10.1088/0951-7715/25/4/961 Download Engbers R. , Burger M. Capasso 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 2011 )ISSN: 1364-503X 10.1098/rsta.2013.0402 Download Gigengack F. , Ruthotto L. , Burger M. Wolters CH. , Jiang X. , Schäfers KP. :Mass preserving motion correction of dual gated cardiac PET IEEE NSS/MIC 2011 (Valencia 10.1109/NSSMIC.2011.6153658 Download 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 Biomedizinische Technik 56 2011 ), p. 1-4 ISSN: 0013-5585 10.1515/BMT.2011.817 Download Mallidis C. , Wistuba J. , Bleisteiner B. , Damm OS. , Gross P. , Wuebbeling F. , Fallnich C. , Burger M. Schlatt S. :In situ visualization of damaged DNA in human sperm by Raman microspectroscopy Human Reproduction 26 2011 ), p. 1641-9 ISSN: 0268-1161 10.1093/humrep/der122 Download Müller J, Brune C, Sawatzky A, Kösters T, Wübbeling F, Schäfers K, Burger M:Reconstruction of short time PET scans using Bregman iterations IEEE NSS/MIC 2011 (Valencia, Spain 10.1109/NSSMIC.2011.6153884 Download
2010
Benning M. , Heins P. , Burger M. A Solver for Dynamic PET Reconstruction based on Forward-Backward Splitting ICNAAM 2010 10.1063/1.3498318 Download Burger M. Carrillo JA. , Wolfram MT. :A mixed finite element method for nonlinear diffusion equations Kinetic and Related Models 3 2010 ), p. 59-83 ISSN: 1937-5093 10.3934/krm.2010.3.59 Download Burger M. Di Francesco M. , Pietschmann JF. , Schlake B. :Nonlinear cross-diffusion with size exclusion SIAM Journal on Mathematical Analysis 42 2010 ), p. 2842-2871 ISSN: 0036-1410 10.1137/100783674 Download Burger M. Mardal KA. , Nielsen BF. :Stability analysis of the inverse transmembrane potential problem in electrocardiography Inverse Problems 26 2010 ), p. 105012 ISSN: 0266-5611 10.1088/0266-5611/26/10/105012 Download Dawood M. , Brune C. , Jiang X. , Büther F. , Burger M. Schober O. , Schäfers M. , Schäfers KP. :A continuity equation based optical flow method for cardiac motion correction in 3D PET data Proc. of MIAR (Peking In: Hongen Liao, P.J. Eddie Edwards, Xiaochuan Pan (ed.): 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) , Berlin Heidelberg 2010 10.1007/978-3-642-15699-1_10 http://cvpr.uni-muenster.de/organisation/dawoods/MICCAI2010.pdf Download Gigengack F. , Ruthotto L. , Burger M. Wolters CH. , Jiang X. , Schafers K. :Motion correction of cardiac PET using mass-preserving registration 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 10.1109/NSSMIC.2010.5874418 Download Mallidis C. , Wistuba J. , Bleisteiner B. , Gross P. , Wuebbeling F. , Fallnich C. , Burger M. Schlatt S. :Confocal Raman microspectroscopy, the future for semen analysis? 10.1111/j.1365-2605.2010.01106.x Download Sawatzky A. , Burger M. Edge-Preserving Regularization for the Deconvolution of Biological Images in Nanoscopy ICNAAM 2010 (Rhodes, Greece 10.1063/1.3498325 Download Wolfram MT. , Burger M. Siwy ZS. :Mathematical modeling and simulation of nanopore blocking by precipitation Journal of Physics: Condensed Matter 22 2010 ), p. 45401 ISSN: 0953-8984 10.1088/0953-8984/22/45/454101 Download Zhang X. , Burger M. Bresson X. , Osher S. :Bregmanized nonlocal regularization for deconvolution and sparsereconstruction Siam Journal on Imaging Sciences 3 2010 ), p. 253--276 ISSN: 1936-4954 10.1137/090746379 Download Zhang X. , Burger M. Osher S. :A unified primal-dual algorithm framework based on Bregman iteration Journal of Scientific Computing 3 2010 )ISSN: 0885-7474 10.1007/s10915-010-9408-8 Download
2009
Bachmayr M. , Burger M. Iterative total variation schemes for nonlinear inverse problems Inverse Problems 25 2009 )ISSN: 0266-5611 10.1088/0266-5611/25/10/105004 Download Brune C. , Sawatzky A. , Burger M. Bregman-EM-TV Methods with Application to Optical Nanoscopy SSVM 2009 (Voss, Norway 10.1007/978-3-642-02256-2_20 Download Schönlieb C, Bertozzi A, Burger M, He L:Image inpainting using a fourth-order total variation flow SampTA09 (Marseille Download
Burger M. He L. , Schoenlieb CB. :Cahn-Hilliard inpainting and a generalization for grayvalue image Siam Journal on Imaging Sciences 3 2009 ), p. 3 ISSN: 1936-4954 10.1137/080728548 Download Sawatzky A. , Brune C. , Müller J. , Burger M. Total Variation Processing of Images with Poisson Statistics CAIP 2009 (Münster, Deutschland 10.1007/978-3-642-03767-2_65 Download Schellmann M. , Gorlatch S. , Meiländer D. , Kösters T. , Schäfers K. , Wübbeling F. , Burger M. Parallel medical image reconstruction: From graphics processors to grids 10th International Conference PaCT (Novosibirsk, Russia 10.1007/978-3-642-03275-2_45 Download 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 5698 LNCS 2009 ), p. 457-473 ISSN: 0302-9743 10.1007/978-3-642-03275-2_45 Download Steinstraeter O. , Sillekens S. , Junghoefer M. , Burger M. Wolters CH. :Sensitivity of beamformer source analysis to deficiencies in forward modeling Human Brain Mapping 31 2009 ), p. 1907-1927 ISSN: 1065-9471 10.1002/hbm.20986 Download
2008
Burger M, He L, Markowich P, Schönlieb C:A generalization of Cahn-Hilliard inpainting for gray-value images ICIAM 2007 (Zurich In: PAMM Special Issue: ICIAM 07 2008 Download
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 IEEE NSS/MIC 2008 (Dresden Download
Burger M. A note on sparse reconstruction methods AIP 2007 (Vancouver In: Uhlmann G (ed.): J Phys Conference Series 2008 10.1088/1742-6596/124/1/012002 Download Burger M, Chu S, Markowich P, Schönlieb C:Cahn-Hilliard inpainting and the Willmore functional ICIAM 2007 (Zurich In: PAMM Special Issue: ICIAM 07 2008 10.1002/pamm.200700802 Download
Burger M. Finite element approximation of elliptic partial differential equations on implicit surfaces Computing and Visualization in Science 2008 )ISSN: 1432-9360 10.1007/s00791-007-0081-x Download Arning K, Burger M, Eisenberg B, Engl H, He L:Inverse problems related to ion channels ICIAM 2007 In: PAMM Special Issue: ICIAM 07 2008 10.1002/pamm.200700396 Download
Burger M. Chu SY. , Markowich PA. , Schönlieb CB. :The Willmore functional and instabilities in the Cahn-Hilliard equation Communications in Mathematical Sciences 6 2008 ), p. 309-329 ISSN: 1539-6746 10.4310/CMS.2008.v6.n2.a3 Download Burger M. Di Francesco M. :Large time behavior of nonlocal aggregation models with nonlinear diffusion Networks and Heterogeneous Media 3 2008 ), p. 749-785 ISSN: 1556-1801 10.3934/nhm.2008.3.749 Download Burger M. Dolak-Struss Y. , Schmeiser C. :Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions Communications in Mathematical Sciences 6 2008 ), p. 1-28 ISSN: 1539-6746 10.4310/CMS.2008.v6.n1.a1 Download Burger M. Landa Y. , Tanushev NM. , Tsai R. :Discovering point sources in unknown environments WAFR 2008 10.1007/978-3-642-00312-7_41 Download Burger M. Pinnau R. :A Globally Covergent Gummel Map for Optimal Dopant Profiling Mathematical Models & Methods in Applied Sciences 19 2008 )ISSN: 0218-2025 Download Burger M. Pinnau R. , Wolfram MT. :On-/Off-State design of semiconductor doping profiles Communications in Mathematical Sciences 6 2008 ), p. 1021-1041 ISSN: 1539-6746 Download Burger M. Stoecker C. , Voigt A. :Finite element based level set methods for higher order flows Journal of Scientific Computing 35 2008 ), p. 77-98 ISSN: 0885-7474 10.1007/s10915-008-9204-x Download Favaro P. , Soatto S. , Burger M. Osher SJ. :Shape from Defocus via Diffusion IEEE Transactions on Pattern Analysis and Machine Intelligence 30 2008 ), p. 518-531 ISSN: 0162-8828 10.1109/TPAMI.2007.1175 Download Sawatzky A. , Brune C. , Wiibbeling F. , Kosters T. , Schäfers K. , Burger M. Accurate EM-TV algorithm in PET with low SNR IEEE NSS/MIC 2008 (Dresden, Deutschland 10.1109/NSSMIC.2008.4774392 Download
2007
Burger M, Hausser F, Stöcker C, Voigt A:A level set approach to anisotropic flows with curvature regularization Journal of Computational Physics 225 2007 ), p. 183-205 ISSN: 0021-9991 10.1016/j.jcp.2006.11.026 Download
Burger M, Capasso V, Micheletti A:An extension of the Kolmogorov-Avrami formula to inhomogeneous birth-and-growth processes In: Aletti G, Burger M, Micheletti A, Morale D (ed.): Math Everywhere Berlin Springer 2007 , p. 63--76 10.1007/978-3-540-44446-6_6 Download
Burger M, Resmerita E, He L:Error estimation for Bregman iterations and inverse scale space methods Computing 81 2007 ), p. 109-135 ISSN: 0010-485X Download
Su B, Burger M:Global weak solutions of non-isothermal front propagation problem Electronic Research Announcements in Mathematical Sciences 13 2007 ), p. 46--52 (electronic) ISSN: 1079-6762 10.1090/S1079-6762-07-00173-4 Download
Burger M, Eisenberg B, Engl H:Inverse problems related to ion channel selectivity SIAM Journal on Applied Mathematics 67 2007 ), p. 960-989 ISSN: 0036-1399 10.1137/060664689 Download
Burger M, Frick K, Osher S, Scherzer O:Inverse total variation flow Multiscale Modeling & Simulation 6 2007 ), p. 366-395. ISSN: 1540-3459 Download
Ben Ameur H, Burger M, Hackl B:On some geometric inverse problems in linear elasticity Mathematical Methods in the Applied Sciences 30 2007 ), p. 625-647 ISSN: 0170-4214 Download
2006
Burger M, Capasso V, Micheletti A:An extension of the Avrami-Kolmogorov formula to inhomogeneous birth-and-growth processes Math Everywhere (Milano 10.1007/978-3-540-44446-6_6 Download
Stainko R, Burger M:A one-shot approach to topology optimization with stress constraints IUTAM Symposium on Topological Design Optimization of Structures, Machines, and Materials 10.1007/1-4020-4752-5_18 Download
Berkels B, Burger M, Droske M, Nemitz O, Rumpf M:Cartoon extraction based on anisotropic image classification Vision, Modeling, and Visualization Proceedings Download
Burger M. Deterministic and Stochastic Modelling in Biomedicine, Economics, and Industry 2006 Download He L, Burger M, Osher S:Iterative total variation regularization with non-quadratic fidelity Journal of Mathematical Imaging and Vision 26 2006 ), p. 167-184 ISSN: 0924-9907 10.1007/s10851-006-8302-3 Download
Burger M, Capasso V, Pizzocchero L:Mesoscale averaging of nucleation and growth processes Multiscale Modeling & Simulation 5 2006 ), p. 564 - 592 ISSN: 1540-3459 Download
Burger M, Gilboa G, Osher S, Xu J:Nonlinear inverse scale space methods Communications in Mathematical Sciences 4 2006 ), p. 179-212 ISSN: 1539-6746 10.4310/CMS.2006.v4.n1.a7 Download
Burger M, Capasso V, Morale D:On an aggregation model with long and short range interactions Nonlinear Analysis-Real World Applications 8 2006 ), p. 939-958 ISSN: 1468-1218 10.1016/j.nonrwa.2006.04.002 Download
Burger M, Hinze M, Pinnau R:Optimization models for semiconductor dopant profiling In: Cercignani C, Gabetta E (ed.): Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems , Boston 2006 10.1007/978-0-8176-4554-0_5 Download
Burger M, Stainko R:Phase-field relaxation of topology optimization with local stress constraints, SIAM Journal on Control and Optimization 45 2006 ), p. 1447-1466 ISSN: 0363-0129 10.1137/05062723X Download
Burger M, Kaltenbacher B:Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems SIAM Journal on Numerical Analysis 44 2006 ), p. 153--182 ISSN: 0036-1429 10.1137/040613779 Download
Burger M. Surface diffusion including adatoms Communications in Mathematical Sciences 4 2006 ), p. 1-51 ISSN: 1539-6746 10.4310/CMS.2006.v4.n1.a1 Download Burger M, DiFrancesco M, Dolak-Struss Y:The Keller-Segel model for chemotaxis: linear vs. nonlinear diffusion SIAM Journal on Mathematical Analysis 38 2006 ), p. 1288-1315 ISSN: 0036-1410 Download
Su B, Burger M:Weak solutions of a polymer crystal growth model 2006 )Download
2005
Burger M. A model hierarchy for surface diffusion: the small slope case 5th MATHMOD (Vienna Download Osher S, Burger M, Goldfarb D, Xu J, Yin W:An iterative regularization method for total variation based image restoration Multiscale Modeling & Simulation 4 2005 ), p. 460-489 ISSN: 1540-3459 10.1137/040605412 Download
Burger M, Osher S:A survey on level set methods for inverse problems and optimal design European Journal of Applied Mathematics 16 2005 ), p. 263-301 ISSN: 0956-7925 10.1017/S0956792505006182 Download
Burger M, Hofinger A:Greedy algorithms for neural network training with data noise Computing 74 2005 ), p. 1-22 ISSN: 0010-485X Download
Wolfram M, Burger M:Inverse dopant profiling for highly doped semiconductor devices 5th MATHMOD (Vienna Download
Burger M, Gilboa G, Osher S, Xu J:Nonlinear inverse scale space methods for image restoration Variational and Level Set Methods 2005 10.1007/11567646_3 Download
Burger M. Numerical simulation of anisotropic surface diffusion with curvature-dependent energy Journal of Computational Physics 203 2005 ), p. 602-625 ISSN: 0021-9991 10.1016/j.jcp.2004.08.024 Download Burger M, Hintermueller M:Projected gradient flows for BV / level set relaxation Proceedings in Applied Mathematics and Mechanics 5 2005 ), p. 11-14 ISSN: 1617-7061 10.1002/pamm.200510004 Download
Burger M, Gu H:Symbolic preprocessing of finite element methods for parameter-dependent geometric differential equations Workshop on Symbolic-Numerical Computation 2005 Download
2004
Burger M, Osher S:Convergence rates of convex variational regularization Inverse Problems 20 2004 ), p. 1411-1421 ISSN: 0266-5611 10.1088/0266-5611/20/5/005 Download
Burger M. Growth of multiple crystals in polymer melts European Journal of Applied Mathematics 15 2004 ), p. 347-363 ISSN: 0956-7925 10.1017/S0956792504005522 Download Burger M, Hackl B, Ring W:Incorporating topological derivatives into level set methods Journal of Computational Physics 194 2004 ), p. 344-362 ISSN: 0021-9991 10.1016/j.jcp.2003.09.033 Download
Burger M, Osher S, Yablonovitch E:Inverse problem techniques for the design of photonic crystals IEICE Transactions on Electronics 87 C 2004 ), p. 258-265 ISSN: 0916-8524 Download
Ben Ameur H, Burger M, Hackl B:Level set methods for geometric inverse problems in linear elasticity Inverse Problems 20 2004 ), p. 673-696 ISSN: 0266-5611 Download
Burger M. Levenberg-Marquardt level set methods for inverse obstacle problems Inverse Problems 20 2004 ), p. 673-696 ISSN: 0266-5611 10.1088/0266-5611/20/1/016 Download Burger M, Engl H, Leitao A, Markowich P:On inverse problems for semiconductor equations Milan Journal of Mathematics 72 2004 ), p. 273-314 ISSN: 1424-9286 Download
Burger M, Capasso V, Micheletti A:Optimal control of polymer morphologies Journal of Engineering Mathematics 49 2004 ), p. 339-358 ISSN: 0022-0833 10.1023/B:ENGI.0000032692.56508.a7 Download
Favaro P, Burger M, Soatto S:Scene and motion reconstruction from defocused and motion blurred images via anisotropic diffusion ECCV 10.1007/978-3-540-24670-1_20 Download
2003
2002
Burger M, Neubauer A:Analysis of Tikhonov regularization for function approximation by neural networks Neural Networks 16 2002 ), p. 79-90 ISSN: 0893-6080 10.1016/S0893-6080(02)00167-3 Download
Haslinger J, Bodenhofer U, Burger M:Data-Driven construction of Sugeno controllers: analytical aspects and new numerical methods 9th IFSA World Congress and 20th NAFIPS International Conference (Vancouver 10.1109/NAFIPS.2001.944258 Download
Burger M, Engl H, Markowich P:Inverse doping problems for semiconductor devices Recent Progress in Computational and Applied PDEs 10.1007/978-1-4615-0113-8_3 Download
Burger M, Mühlhuber W:Iterative regularization of parameter identification problems by SQP methods Inverse Problems 18 2002 ), p. 943-970 ISSN: 0266-5611 Download
Burger M, Capasso V, Micheletti A:Mathematical modelling of the crystallization process of polymers 5th Hellenic Conference on Computer Mathematics and its Applications (Athens Download
Capasso V, Burger M, Micheletti A, Salani C:Mathematical models for polymer crystallization processes In: Capasso V (ed.): Mathematical modelling for polymer industry Springer 2002 , p. 167-242 10.1007/978-3-642-55771-2_5 Download
Burger M, Capasso V, Eder G:Modelling crystallization of polymers in temperature fields ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 82 2002 ), p. 51-63 ISSN: 0044-2267 10.1002/1521-4001(200201)82:13.0.CO;2-8 Download
Burger M, Capasso V, Salani C:Modelling multi-dimensional crystallization of polymers in interaction with heat transfer Nonlinear Analysis-Real World Applications 3 2002 ), p. 139-160 ISSN: 1468-1218 10.1016/S1468-1218(01)00019-0 Download
Burger M, Mühlhuber W:Numerical approximation of an SQP-type method for parameter identification SIAM Journal on Numerical Analysis 40 2002 ), p. 1775--1797 ISSN: 0036-1429 10.1137/S0036142901389980 Download
Burger M, Haslinger J, Engl H, Bodenhofer U:Regularized data-driven construction of fuzzy controllers Journal of Inverse and Ill-posed Problems 10 2002 ), p. 319-344 ISSN: 0928-0219 10.1515/jiip.2002.10.4.319 Download
Haslinger J, Bodenhofer U, Burger M:Tuning of fuzzy systems as an ill-posed problem ECMI 2000 (Palermo Download
2001
Burger M. A level set method for inverse problems Inverse Problems 17 2001 ), p. 1327-1356 ISSN: 0266-5611 10.1088/0266-5611/17/5/307 Download Burger M, Neubauer A:Error bounds for approximation with neural networks Journal of Approximation Theory 112 2001 ), p. 235-250 ISSN: 0021-9045 10.1006/jath.2001.3613 Download
Burger M, Engl H, Markowich P, Pietra P:Identification of doping profiles in semiconductor device Inverse Problems 17 2001 ), p. 1765-1795 ISSN: 0266-5611 10.1088/0266-5611/17/6/315 Download
Burger M. Iterative regularization of a parameter identification problem occurring in polymer crystallization SIAM Journal on Numerical Analysis 39 2001 ), p. 1029-1054 ISSN: 0036-1429 10.1137/S0036142999363772 Download Burger M, Capasso V:Mathematical modelling and simulation of non-isothermal crystallization of polymers Mathematical Models & Methods in Applied Sciences 11 2001 ), p. 1029-1054 ISSN: 0218-2025 10.1142/S0218202501001227 Download
Burger M, Scherzer O:Regularization methods for blind deconvolution and blind source separation problems Mathematics of Control Signals and Systems 14 2001 ), p. 358-383 ISSN: 0932-4194 Download
Micheletti A, Burger M:Stochastic and deterministic simulation of nonisothermal crystallization of polymers Journal of Mathematical Chemistry 30 2001 ), p. 169--193 ISSN: 0259-9791 10.1023/A:1017923703579 Download
2000
1999
Teaching
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