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Author ID: burger.martin Recent zbMATH articles by "Burger, Martin"
Published as: Burger, Martin; Burger, M.
Homepage: https://www.math.fau.de/angewandte-mathematik-1/mitarbeiter/prof-dr-martin-burge...
External Links: MGP · ORCID · Wikidata · Google Scholar · dblp
all top 5

Co-Authors

14 single-authored
19 Wolfram, Marie-Therese
16 Pietschmann, Jan-Frederik
13 Osher, Stanley Joel
12 Capasso, Vincenzo
11 Markowich, Peter Alexander
11 Schönlieb, Carola-Bibiane
9 Bungert, Leon
9 Möller, Michael
8 Pinnau, René
8 Tenbrinck, Daniel
7 Benning, Martin
7 Engl, Heinz W.
7 Micheletti, Alessandra
6 Brinkmann, Eva-Maria
6 Bruna, Maria
6 Di Francesco, Marco
6 Helin, Tapio
5 Brune, Christoph
5 Gilboa, Guy
5 Korolev, Yury M.
5 Ranetbauer, Helene
4 Dirks, Hendrik Meinert
4 Modersitzki, Jan
4 Quinto, Eric Todd
4 Rasch, Julian
4 Roith, Tim
4 Sawatzky, Alex
4 Totzeck, Claudia
4 Zhang, Xiaoqun
3 Caffarelli, Luis Ángel
3 Carrillo de la Plata, José Antonio
3 Esposito, Antonio
3 Hackl, Benjamin
3 Hahn, Bernadette Nadine
3 He, Lin
3 Kaltenbacher, Barbara
3 Müller, Jahn
3 Neubauer, Andreas
3 Papoutsellis, Evangelos
3 Schulz, Simon M.
3 Tse, Oliver
3 Voigt, Axel
3 Xu, Jinjun
2 Ameur, Hend Ben
2 Arridge, Simon R.
2 Berendsen, Judith
2 Dolak-Struss, Yasmin
2 Dong, Yiqiu
2 Eckardt, Lina
2 Elvetun, Ole Løseth
2 Engbers, Ralf
2 Föcke, Janic
2 Franek, Marzena Magdalene
2 Frerking, Lena Christina
2 Garcke, Harald
2 Grah, Joana Sarah
2 Haskovec, Jan
2 Hauptmann, Andreas S.
2 Heins, Pia
2 Hintermüller, Michael
2 Humpert, Ina
2 King, John Robert
2 Kreusser, Lisa Maria
2 Lorz, Alexander
2 Louis, Alfred Karl
2 Lucka, Felix
2 Morale, Daniela
2 Mühlhuber, Wolfram
2 Papafitsoros, Konstantinos
2 Resmerita, Elena
2 Röth, Andreas Barthel
2 Ruthotto, Lars
2 Salani, Claudia
2 Scherzer, Otmar
2 Schlake, Bärbel Angelika
2 Schlottbom, Matthias
2 Schmeiser, Christian
2 Schmidtchen, Markus
2 Schuster, Thomas
2 Soatto, Stefano
2 Stöcker, Christina
2 Ward, Michael J.
2 Werner, Philipp
2 Wübbeling, Frank
1 Agapiou, Sergios
1 Aletti, Giacomo
1 Augustin, Sven
1 Bachmayr, Markus
1 Bauermeister, Hartmut
1 Baumgarten, Daniel
1 Bertozzi, Andrea Louise
1 Bissantz, Nicolai
1 Bodenhofer, Ulrich
1 Bozorgnia, Farid
1 Bresson, Xavier
1 Bubba, Tatiana A.
1 Chambolle, Antonin
1 Chu, Shun-Yin
1 Cremers, Daniel
1 Dashti, Masoumeh
...and 99 more Co-Authors
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Serials

31 Inverse Problems
8 Communications in Mathematical Sciences
7 European Journal of Applied Mathematics
7 SIAM Journal on Applied Mathematics
6 Journal of Mathematical Imaging and Vision
6 SIAM Journal on Imaging Sciences
6 Kinetic and Related Models
5 SIAM Journal on Mathematical Analysis
5 Oberwolfach Reports
4 Journal of Computational Physics
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Multiscale Modeling & Simulation
4 Inverse Problems and Imaging
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 SIAM Journal on Numerical Analysis
3 Journal of Scientific Computing
2 Nonlinearity
2 Computing
2 SIAM Journal on Control and Optimization
2 Journal of Inverse and Ill-Posed Problems
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Interfaces and Free Boundaries
2 Nonlinear Analysis. Real World Applications
2 Journal of Evolution Equations
2 Transactions of Mathematics and its Applications
1 Journal of Engineering Mathematics
1 Mathematical Methods in the Applied Sciences
1 Mathematics of Computation
1 Journal of Approximation Theory
1 Journal of the London Mathematical Society. Second Series
1 MCSS. Mathematics of Control, Signals, and Systems
1 IEEE Transactions on Signal Processing
1 SIAM Journal on Optimization
1 Journal of Nonlinear Science
1 SIAM Journal on Scientific Computing
1 International Journal of Computer Vision
1 ETNA. Electronic Transactions on Numerical Analysis
1 Methods and Applications of Analysis
1 Advances in Computational Mathematics
1 Electronic Research Announcements of the American Mathematical Society
1 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Chemistry
1 Computing and Visualization in Science
1 Vietnam Journal of Mathematics
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 IEEE Transactions on Image Processing
1 Foundations of Computational Mathematics
1 Discrete and Continuous Dynamical Systems. Series B
1 AMRX. Applied Mathematics Research eXpress
1 Milan Journal of Mathematics
1 SIAM Journal on Applied Dynamical Systems
1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science
1 Mathematical Medicine and Biology
1 Acta Numerica
1 GAMM-Mitteilungen
1 Contemporary Mathematics
1 Lecture Notes in Computer Science
1 Lecture Notes in Mathematics
1 Networks and Heterogeneous Media
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Analysis & PDE
1 Pure and Applied Analysis
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Fields

94 Partial differential equations (35-XX)
78 Numerical analysis (65-XX)
51 Calculus of variations and optimal control; optimization (49-XX)
47 Biology and other natural sciences (92-XX)
33 Computer science (68-XX)
32 Information and communication theory, circuits (94-XX)
24 Statistical mechanics, structure of matter (82-XX)
20 Operator theory (47-XX)
14 General and overarching topics; collections (00-XX)
14 Probability theory and stochastic processes (60-XX)
12 Operations research, mathematical programming (90-XX)
11 Statistics (62-XX)
11 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
9 Mechanics of deformable solids (74-XX)
7 Fluid mechanics (76-XX)
6 Integral transforms, operational calculus (44-XX)
6 Integral equations (45-XX)
6 Classical thermodynamics, heat transfer (80-XX)
6 Systems theory; control (93-XX)
5 Optics, electromagnetic theory (78-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Mechanics of particles and systems (70-XX)
3 Ordinary differential equations (34-XX)
3 Approximations and expansions (41-XX)
3 Geophysics (86-XX)
2 Combinatorics (05-XX)
2 Functional analysis (46-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 History and biography (01-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Real functions (26-XX)
1 Special functions (33-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Quantum theory (81-XX)

Publications by Year

Citations contained in zbMATH Open

167 Publications have been cited 3,098 times in 2,087 Documents Cited by Year
An iterative regularization method for total variation-based image restoration. Zbl 1090.94003
Osher, Stanley; Burger, Martin; Goldfarb, Donald; Xu, Jinjun; Yin, Wotao
305
2005
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
130
2011
Incorporating topological derivatives into level set methods. Zbl 1044.65053
Burger, Martin; Hackl, Benjamin; Ring, Wolfgang
127
2004
Bregmanized nonlocal regularization for deconvolution and sparse reconstruction. Zbl 1191.94030
Zhang, Xiaoqun; Burger, Martin; Bresson, Xavier; Osher, Stanley
122
2010
Convergence rates of convex variational regularization. Zbl 1068.65085
Burger, Martin; Osher, Stanley
119
2004
A survey on level set methods for inverse problems and optimal design. Zbl 1091.49001
Burger, Martin; Osher, Stanley J.
88
2005
A framework for the construction of level set methods for shape optimization and reconstruction. Zbl 1081.35134
Burger, Martin
70
2003
On an aggregation model with long and short range interactions. Zbl 1188.92040
Burger, Martin; Capasso, Vincenzo; Morale, Daniela
69
2007
Cahn-Hilliard inpainting and a generalization for grayvalue images. Zbl 1180.49007
Burger, Martin; He, Lin; Schönlieb, Carola-Bibiane
65
2009
Modern regularization methods for inverse problems. Zbl 1431.65080
Benning, Martin; Burger, Martin
63
2018
Phase-field relaxation of topology optimization with local stress constraints. Zbl 1116.74053
Burger, Martin; Stainko, Roman
60
2006
The Keller-Segel model for chemotaxis with prevention of overcrowding: linear vs. nonlinear diffusion. Zbl 1114.92008
Burger, Martin; Di Francesco, Marco; Dolak-Struss, Yasmin
60
2006
Nonlinear cross-diffusion with size exclusion. Zbl 1227.35155
Burger, Martin; Di Francesco, Marco; Pietschmann, Jan-Frederik; Schlake, Bärbel
59
2010
A level set method for inverse problems. Zbl 0985.35106
Burger, Martin
52
2001
A hyperelastic regularization energy for image registration. Zbl 1318.92028
Burger, Martin; Modersitzki, Jan; Ruthotto, Lars
51
2013
Large time behavior of nonlocal aggregation models with nonlinear diffusion. Zbl 1171.35328
Burger, Martin; Di Francesco, Marco
49
2008
Higher-order TV methods – enhancement via Bregman iteration. Zbl 1308.94012
Benning, Martin; Brune, Christoph; Burger, Martin; Müller, Jahn
46
2013
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
45
2014
Nonlinear inverse scale space methods. Zbl 1106.68117
Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun
44
2006
A guide to the TV zoo. Zbl 1342.94014
Burger, Martin; Osher, Stanley
41
2013
Level set methods for geometric inverse problems in linear elasticity. Zbl 1086.35117
Ameur, Hend Ben; Burger, Martin; Hackl, Benjamin
38
2004
Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems. Zbl 1325.62058
Helin, T.; Burger, M.
37
2015
Nonlinear Poisson-Nernst-Planck equations for ion flux through confined geometries. Zbl 1236.92011
Burger, M.; Schlake, B.; Wolfram, M-T
36
2012
Spectral decompositions using one-homogeneous functionals. Zbl 1361.35123
Burger, Martin; Gilboa, Guy; Moeller, Michael; Eckardt, Lina; Cremers, Daniel
35
2016
Iterative total variation schemes for nonlinear inverse problems. Zbl 1188.49028
Bachmayr, Markus; Burger, Martin
35
2009
Error estimation for Bregman iterations and inverse scale space methods in image restoration. Zbl 1147.68790
Burger, M.; Resmerita, E.; He, L.
35
2007
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
34
2014
First order algorithms in variational image processing. Zbl 1372.65053
Burger, M.; Sawatzky, A.; Steidl, G.
34
2016
Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems. Zbl 1112.65049
Burger, Martin; Kaltenbacher, Barbara
32
2006
Ground states and singular vectors of convex variational regularization methods. Zbl 1294.49020
Benning, Martin; Burger, Martin
29
2013
Levenberg-Marquardt level set methods for inverse obstacle problems. Zbl 1059.35162
Burger, Martin
27
2004
Sorting phenomena in a mathematical model for two mutually attracting/repelling species. Zbl 1393.35248
Burger, Martin; Di Francesco, Marco; Fagioli, Simone; Stevens, Angela
26
2018
A mixed finite element method for nonlinear diffusion equations. Zbl 1194.35026
Burger, Martin; Carrillo, José A.; Wolfram, Marie-Therese
26
2010
Primal and dual Bregman methods with application to optical nanoscopy. Zbl 1235.94016
Brune, Christoph; Sawatzky, Alex; Burger, Martin
25
2011
Stationary states of quadratic diffusion equations with long-range attraction. Zbl 1282.35203
Burger, Martin; Di Francesco, Marco; Franek, Marzena
24
2013
Convergence rates in \(\ell^1\)-regularization if the sparsity assumption fails. Zbl 1262.49010
Burger, Martin; Flemming, Jens; Hofmann, Bernd
24
2013
Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions. Zbl 1165.35471
Burger, Martin; Dolak-Struss, Yasmin; Schmeiser, Christian
23
2008
Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems. Zbl 06866427
Agapiou, Sergios; Burger, Martin; Dashti, Masoumeh; Helin, Tapio
22
2018
Error bounds for approximation with neural networks. Zbl 1004.41007
Burger, Martin; Neubauer, Andreas
21
2001
Maximum a posteriori estimates in linear inverse problems with log-concave priors are proper Bayes estimators. Zbl 1302.62010
Burger, Martin; Lucka, Felix
21
2014
Lane formation by side-stepping. Zbl 1365.35081
Burger, Martin; Hittmeir, Sabine; Ranetbauer, Helene; Wolfram, Marie-Therese
20
2016
Delayed blow-up for chemotaxis models with local sensing. Zbl 1470.35073
Burger, Martin; Laurençot, Philippe; Trescases, Ariane
20
2021
EM-TV methods for inverse problems with Poisson noise. Zbl 1342.94026
Sawatzky, Alex; Brune, Christoph; Kösters, Thomas; Wübbeling, Frank; Burger, Martin
19
2013
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
18
2013
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
18
2011
Inverse total variation flow. Zbl 1147.49026
Burger, M.; Frick, K.; Osher, S.; Scherzer, O.
17
2007
Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures. Zbl 1382.35131
Bruna, Maria; Burger, Martin; Ranetbauer, Helene; Wolfram, Marie-Therese
17
2017
Regularized regression and density estimation based on optimal transport. Zbl 1318.62122
Burger, Martin; Franek, Marzena; Schönlieb, Carola-Bibiane
16
2012
Fast optimal design of semiconductor devices. Zbl 1056.49035
Burger, Martin; Pinnau, René
16
2003
An adaptive inverse scale space method for compressed sensing. Zbl 1260.49053
Burger, Martin; Möller, Michael; Benning, Martin; Osher, Stanley
16
2013
A variational framework for region-based segmentation incorporating physical noise models. Zbl 1291.68402
Sawatzky, Alex; Tenbrinck, Daniel; Jiang, Xiaoyi; Burger, Martin
16
2013
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
15
2014
Nonlinear spectral analysis via one-homogeneous functionals: overview and future prospects. Zbl 1409.94182
Gilboa, Guy; Moeller, Michael; Burger, Martin
15
2016
On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion. Zbl 1366.35064
Berendsen, Judith; Burger, Martin; Pietschmann, Jan-Frederik
15
2017
A variational reconstruction method for undersampled dynamic x-ray tomography based on physical motion models. Zbl 1381.92041
Burger, Martin; Dirks, Hendrik; Frerking, Lena; Hauptmann, Andreas; Helin, Tapio; Siltanen, Samuli
14
2017
Inverse problems related to ion channel selectivity. Zbl 1127.35074
Burger, Martin; Eisenberg, Robert S.; Engl, Heinz W.
14
2007
A variational model for joint motion estimation and image reconstruction. Zbl 1437.94009
Burger, Martin; Dirks, Hendrik; Schönlieb, Carola-Bibiane
14
2018
A level set approach to anisotropic flows with curvature regularization. Zbl 1201.82049
Burger, Martin; Haußer, Frank; Stöcker, Christina; Voigt, Axel
14
2007
Total variation regularization in measurement and image space for PET reconstruction. Zbl 1308.65214
Burger, M.; Müller, J.; Papoutsellis, E.; Schönlieb, C. B.
14
2014
Infimal convolution regularisation functionals of BV and \(\mathrm{L}^p\) spaces. I: The finite \(p\) case. Zbl 1342.49014
Burger, Martin; Papafitsoros, Konstantinos; Papoutsellis, Evangelos; Schönlieb, Carola-Bibiane
14
2016
Instantaneous control of interacting particle systems in the mean-field limit. Zbl 1454.82025
Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver; Roth, Andreas
14
2020
Cavity identification in linear elasticity and thermoelasticity. Zbl 1118.35064
Ben Ameur, Hend; Burger, Martin; Hackl, Benjamin
12
2007
Finite element approximation of elliptic partial differential equations on implicit surfaces. Zbl 1173.65353
Burger, Martin
12
2008
Identification of doping profiles in semiconductor devices. Zbl 0989.35139
Burger, Martin; Engl, Heinz W.; Markowich, Peter A.; Pietra, Paola
12
2001
Bias reduction in variational regularization. Zbl 1385.49002
Brinkmann, Eva-Maria; Burger, Martin; Rasch, Julian; Sutour, Camille
12
2017
Mean-field optimal control and optimality conditions in the space of probability measures. Zbl 1460.49019
Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver
12
2021
Flow characteristics in a crowded transport model. Zbl 1349.35152
Burger, Martin; Pietschmann, Jan-Frederik
11
2016
On a Boltzmann mean field model for knowledge growth. Zbl 1347.49057
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
11
2016
Error estimates for general fidelities. Zbl 1285.47015
Benning, Martin; Burger, Martin
11
2011
Iterative regularization of parameter identification problems by sequential quadratic programming methods. Zbl 1005.65124
Burger, Martin; Mühlhuber, Wolfram
11
2002
Analysis of the diffuse domain method for second order elliptic boundary value problems. Zbl 1371.35064
Burger, Martin; Elvetun, Ole Løseth; Schlottbom, Matthias
11
2017
Second-order edge-penalization in the Ambrosio-Tortorelli functional. Zbl 1332.49016
Burger, M.; Esposito, T.; Zeppieri, C. I.
10
2015
Training neural networks with noisy data as an ill-posed problem. Zbl 1126.41301
Burger, Martin; Engl, Heinz W.
10
2000
Risk estimators for choosing regularization parameters in ill-posed problems – properties and limitations. Zbl 06945044
Lucka, Felix; Proksch, Katharina; Brune, Christoph; Bissantz, Nicolai; Burger, Martin; Dette, Holger; Wübbeling, Frank
10
2018
Numerical simulation of anisotropic surface diffusion with curvature-dependent energy. Zbl 1143.80343
Burger, Martin
9
2005
Segregation effects and gap formation in cross-diffusion models. Zbl 1445.35048
Burger, Martin; Carrillo, José A.; Pietschmann, Jan-Frederik; Schmidtchen, Markus
9
2020
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
9
2019
Uniqueness of strong solutions and weak-strong stability in a system of cross-diffusion equations. Zbl 1448.35290
Berendsen, Judith; Burger, Martin; Ehrlacher, Virginie; Pietschmann, Jan-Frederik
9
2020
On the asymptotic behavior of a Boltzmann-type price formation model. Zbl 1307.35302
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
9
2014
Color Bregman TV. Zbl 1361.94017
Moeller, Michael; Brinkmann, Eva-Maria; Burger, Martin; Seybold, Tamara
9
2014
Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth. Zbl 1352.49005
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
8
2017
Large noise in variational regularization. Zbl 1404.49025
Burger, Martin; Helin, Tapio; Kekkonen, Hanne
8
2018
Mesoscale averaging of nucleation and growth models. Zbl 1118.49023
Burger, Martin; Capasso, Vincenzo; Pizzocchero, Livio
8
2006
Iterative total variation regularization with non-quadratic fidelity. Zbl 1478.94048
He, Lin; Burger, Martin; Osher, Stanley J.
8
2006
Mathematical modelling and simulation of non-isothermal crystallization of polymers. Zbl 1012.82035
Burger, Martin; Capasso, Vincenzo
8
2001
Nonlinear inverse scale space methods for image restoration. Zbl 1159.68585
Burger, Martin; Osher, Stanley; Xu, Jinjun; Gilboa, Guy
8
2005
Joint reconstruction via coupled Bregman iterations with applications to PET-MR imaging. Zbl 1381.92057
Rasch, Julian; Brinkmann, Eva-Maria; Burger, Martin
8
2018
The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy. Zbl 1241.65054
Stück, Robert; Burger, Martin; Hohage, Thorsten
8
2012
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals. Zbl 07365582
Bungert, Leon; Burger, Martin; Chambolle, Antonin; Novaga, Matteo
8
2021
Pattern formation of a nonlocal, anisotropic interaction model. Zbl 1383.35024
Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane
7
2018
Preface: Dynamic inverse problems: modelling-regularization-numerics. Zbl 1395.00048
7
2018
Dynamic MRI reconstruction from undersampled data with an anatomical prescan. Zbl 1397.78038
Rasch, Julian; Kolehmainen, Ville; Nivajärvi, Riikka; Kettunen, Mikko; Gröhn, Olli; Burger, Martin; Brinkmann, Eva-Maria
7
2018
A variational approach for sharpening high dimensional images. Zbl 1258.94018
Möller, Michael; Wittman, Todd; Bertozzi, Andrea L.; Burger, Martin
7
2012
Regularization methods for blind deconvolution and blind source separation problems. Zbl 1002.93060
Burger, Martin; Scherzer, Otmar
7
2001
Inverse problems related to crystallization of polymers. Zbl 0918.35143
Burger, Martin; Capasso, Vincenzo; Engl, Heinz W.
7
1999
Convergence rates and structure of solutions of inverse problems with imperfect forward models. Zbl 1408.49033
Burger, Martin; Korolev, Yury; Rasch, Julian
7
2019
Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type. Zbl 1447.35203
Bungert, Leon; Burger, Martin
7
2020
Solution paths of variational regularization methods for inverse problems. Zbl 1426.49038
Bungert, Leon; Burger, Martin
6
2019
On inverse problems for semiconductor equations. Zbl 1214.82122
Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A.
6
2004
A globally convergent Gummel map for optimal dopant profiling. Zbl 1173.35706
Burger, Martin; Pinnau, René
6
2009
Analysis of kinetic models for label switching and stochastic gradient descent. Zbl 1524.35499
Burger, Martin; Rossi, Alex
1
2023
Convex regularization in statistical inverse learning problems. Zbl 07725198
Bubba, Tatiana A.; Burger, Martin; Helin, Tapio; Ratti, Luca
1
2023
Porous medium equation and cross-diffusion systems as limit of nonlocal interaction. Zbl 1525.35199
Burger, Martin; Esposito, Antonio
1
2023
Gradient flows and nonlinear power methods for the computation of nonlinear eigenfunctions. Zbl 1496.35067
Bungert, Leon; Burger, Martin
2
2022
Mean-field models for segregation dynamics. Zbl 1504.35140
Burger, Martin; Pietschmann, Jan-Frederik; Ranetbauer, Helene; Schmeiser, Christian; Wolfram, Marie-Therese
2
2022
On multi-species diffusion with size exclusion. Zbl 1496.35236
Hopf, Katharina; Burger, Martin
1
2022
Phase separation in systems of interacting active Brownian particles. Zbl 1504.35563
Bruna, Maria; Burger, Martin; Esposito, Antonio; Schulz, Simon M.
1
2022
A diffuse interface model for cell blebbing including membrane-cortex coupling with linker dynamics. Zbl 1497.92085
Werner, Philipp; Burger, Martin; Frank, Florian; Garcke, Harald
1
2022
Delayed blow-up for chemotaxis models with local sensing. Zbl 1470.35073
Burger, Martin; Laurençot, Philippe; Trescases, Ariane
20
2021
Mean-field optimal control and optimality conditions in the space of probability measures. Zbl 1460.49019
Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver
12
2021
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals. Zbl 07365582
Bungert, Leon; Burger, Martin; Chambolle, Antonin; Novaga, Matteo
8
2021
Sequentially optimized projections in x-ray imaging. Zbl 1467.62185
Burger, M.; Hauptmann, A.; Helin, T.; Hyvönen, N.; Puska, J-P
4
2021
Network structured kinetic models of social interactions. Zbl 1476.35272
Burger, Martin
3
2021
Adaptive superresolution in deconvolution of sparse peaks. Zbl 07591337
Koulouri, Alexandra; Heins, Pia; Burger, Martin
1
2021
Coarse graining of a Fokker-Planck equation with excluded volume effects preserving the gradient flow structure. Zbl 1510.35339
Bruna, M.; Burger, M.; Carrillo, J. A.
1
2021
Connections between deep learning and partial differential equations. Zbl 1479.35002
Burger, M.; E, W.; Ruthotto, L.; Osher, S. J.
1
2021
Mean-field optimal control for biological pattern formation. Zbl 1467.49014
Burger, Martin; Kreusser, Lisa Maria; Totzeck, Claudia
1
2021
Instantaneous control of interacting particle systems in the mean-field limit. Zbl 1454.82025
Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver; Roth, Andreas
14
2020
Segregation effects and gap formation in cross-diffusion models. Zbl 1445.35048
Burger, Martin; Carrillo, José A.; Pietschmann, Jan-Frederik; Schmidtchen, Markus
9
2020
Uniqueness of strong solutions and weak-strong stability in a system of cross-diffusion equations. Zbl 1448.35290
Berendsen, Judith; Burger, Martin; Ehrlacher, Virginie; Pietschmann, Jan-Frederik
9
2020
Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type. Zbl 1447.35203
Bungert, Leon; Burger, Martin
7
2020
Variational regularisation for inverse problems with imperfect forward operators and general noise models. Zbl 1454.49037
Bungert, Leon; Burger, Martin; Korolev, Yury; Schönlieb, Carola-Bibiane
5
2020
An entropic Landweber method for linear ill-posed problems. Zbl 1461.65108
Burger, Martin; Resmerita, Elena; Benning, M.
3
2020
On Fokker-Planck equations with in- and outflow of mass. Zbl 1437.35666
Burger, Martin; Humpert, Ina; Pietschmann, Jan-Frederik
3
2020
Structural analysis of an \(L\)-infinity variational problem and relations to distance functions. Zbl 1462.35226
Bungert, Leon; Korolev, Yury; Burger, Martin
3
2020
A PDE model for bleb formation and interaction with linker proteins. Zbl 1444.92032
Werner, Philipp; Burger, Martin; Pietschmann, Jan-Frederik
2
2020
Preface to special issue on joint reconstruction and multi-modality/multi-spectral imaging. Zbl 1429.00023
1
2020
On a reaction-cross-diffusion system modeling the growth of glioblastoma. Zbl 1428.35157
Burger, Martin; Friele, Patricia; Pietschmann, Jan-Frederik
1
2020
Data assimilation in price formation. Zbl 1443.91159
Burger, Martin; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
1
2020
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
9
2019
Convergence rates and structure of solutions of inverse problems with imperfect forward models. Zbl 1408.49033
Burger, Martin; Korolev, Yury; Rasch, Julian
7
2019
Solution paths of variational regularization methods for inverse problems. Zbl 1426.49038
Bungert, Leon; Burger, Martin
6
2019
Unified models for second-order TV-type regularisation in imaging: a new perspective based on vector operators. Zbl 1494.94004
Brinkmann, Eva-Maria; Burger, Martin; Grah, Joana Sarah
5
2019
Modern regularization methods for inverse problems. Zbl 1431.65080
Benning, Martin; Burger, Martin
63
2018
Sorting phenomena in a mathematical model for two mutually attracting/repelling species. Zbl 1393.35248
Burger, Martin; Di Francesco, Marco; Fagioli, Simone; Stevens, Angela
26
2018
Sparsity-promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems. Zbl 06866427
Agapiou, Sergios; Burger, Martin; Dashti, Masoumeh; Helin, Tapio
22
2018
A variational model for joint motion estimation and image reconstruction. Zbl 1437.94009
Burger, Martin; Dirks, Hendrik; Schönlieb, Carola-Bibiane
14
2018
Risk estimators for choosing regularization parameters in ill-posed problems – properties and limitations. Zbl 06945044
Lucka, Felix; Proksch, Katharina; Brune, Christoph; Bissantz, Nicolai; Burger, Martin; Dette, Holger; Wübbeling, Frank
10
2018
Large noise in variational regularization. Zbl 1404.49025
Burger, Martin; Helin, Tapio; Kekkonen, Hanne
8
2018
Joint reconstruction via coupled Bregman iterations with applications to PET-MR imaging. Zbl 1381.92057
Rasch, Julian; Brinkmann, Eva-Maria; Burger, Martin
8
2018
Pattern formation of a nonlocal, anisotropic interaction model. Zbl 1383.35024
Burger, Martin; Düring, Bertram; Kreusser, Lisa Maria; Markowich, Peter A.; Schönlieb, Carola-Bibiane
7
2018
Preface: Dynamic inverse problems: modelling-regularization-numerics. Zbl 1395.00048
7
2018
Dynamic MRI reconstruction from undersampled data with an anatomical prescan. Zbl 1397.78038
Rasch, Julian; Kolehmainen, Ville; Nivajärvi, Riikka; Kettunen, Mikko; Gröhn, Olli; Burger, Martin; Brinkmann, Eva-Maria
7
2018
Dynamic SPECT reconstruction with temporal edge correlation. Zbl 1437.92070
Ding, Qiaoqiao; Burger, Martin; Zhang, Xiaoqun
2
2018
Towards dynamic PET reconstruction under flow conditions: parameter identification in a PDE model. Zbl 1388.35102
Reips, Louise; Burger, Martin; Engbers, Ralf
1
2018
The inverse problem of magnetorelaxometry imaging. Zbl 1406.78019
Föcke, Janic; Baumgarten, Daniel; Burger, Martin
1
2018
Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures. Zbl 1382.35131
Bruna, Maria; Burger, Martin; Ranetbauer, Helene; Wolfram, Marie-Therese
17
2017
On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion. Zbl 1366.35064
Berendsen, Judith; Burger, Martin; Pietschmann, Jan-Frederik
15
2017
A variational reconstruction method for undersampled dynamic x-ray tomography based on physical motion models. Zbl 1381.92041
Burger, Martin; Dirks, Hendrik; Frerking, Lena; Hauptmann, Andreas; Helin, Tapio; Siltanen, Samuli
14
2017
Bias reduction in variational regularization. Zbl 1385.49002
Brinkmann, Eva-Maria; Burger, Martin; Rasch, Julian; Sutour, Camille
12
2017
Analysis of the diffuse domain method for second order elliptic boundary value problems. Zbl 1371.35064
Burger, Martin; Elvetun, Ole Løseth; Schlottbom, Matthias
11
2017
Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth. Zbl 1352.49005
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
8
2017
On optical flow models for variational motion estimation. Zbl 1406.49037
Burger, Martin; Dirks, Hendrik; Frerking, Lena
1
2017
A stochastic model for the normal tissue complication probability (NTCP) and applicationss. Zbl 1400.92289
Stocks, Theresa; Hillen, Thomas; Gong, Jiafen; Burger, Martin
1
2017
Spectral decompositions using one-homogeneous functionals. Zbl 1361.35123
Burger, Martin; Gilboa, Guy; Moeller, Michael; Eckardt, Lina; Cremers, Daniel
35
2016
First order algorithms in variational image processing. Zbl 1372.65053
Burger, M.; Sawatzky, A.; Steidl, G.
34
2016
Lane formation by side-stepping. Zbl 1365.35081
Burger, Martin; Hittmeir, Sabine; Ranetbauer, Helene; Wolfram, Marie-Therese
20
2016
Nonlinear spectral analysis via one-homogeneous functionals: overview and future prospects. Zbl 1409.94182
Gilboa, Guy; Moeller, Michael; Burger, Martin
15
2016
Infimal convolution regularisation functionals of BV and \(\mathrm{L}^p\) spaces. I: The finite \(p\) case. Zbl 1342.49014
Burger, Martin; Papafitsoros, Konstantinos; Papoutsellis, Evangelos; Schönlieb, Carola-Bibiane
14
2016
Flow characteristics in a crowded transport model. Zbl 1349.35152
Burger, Martin; Pietschmann, Jan-Frederik
11
2016
On a Boltzmann mean field model for knowledge growth. Zbl 1347.49057
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
11
2016
Simultaneous reconstruction and segmentation for dynamic SPECT imaging. Zbl 1402.92266
Burger, Martin; Rossmanith, Carolin; Zhang, Xiaoqun
4
2016
Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems. Zbl 1325.62058
Helin, T.; Burger, M.
37
2015
Second-order edge-penalization in the Ambrosio-Tortorelli functional. Zbl 1332.49016
Burger, M.; Esposito, T.; Zeppieri, C. I.
10
2015
Spectral representations of one-homogeneous functionals. Zbl 1444.94007
Burger, Martin; Eckardt, Lina; Gilboa, Guy; Moeller, Michael
6
2015
Locally sparse reconstruction using the \(\ell^{1,\infty}\)-norm. Zbl 1332.65062
Heins, Pia; Moeller, Michael; Burger, Martin
3
2015
Regularization with sparse vector fields: from image compression to TV-type reconstruction. Zbl 1444.94006
Brinkmann, Eva-Maria; Burger, Martin; Grah, Joana
2
2015
Diffuse interface methods for inverse problems: case study for an elliptic Cauchy problem. Zbl 1329.35345
Burger, Martin; Elvetun, Ole Løseth; Schlottbom, Matthias
2
2015
Iterative solution methods. 2nd edition. Zbl 1331.65080
Burger, Martin; Kaltenbacher, Barbara; Neubauer, Andreas
1
2015
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
45
2014
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
34
2014
Maximum a posteriori estimates in linear inverse problems with log-concave priors are proper Bayes estimators. Zbl 1302.62010
Burger, Martin; Lucka, Felix
21
2014
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
15
2014
Total variation regularization in measurement and image space for PET reconstruction. Zbl 1308.65214
Burger, M.; Müller, J.; Papoutsellis, E.; Schönlieb, C. B.
14
2014
On the asymptotic behavior of a Boltzmann-type price formation model. Zbl 1307.35302
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
9
2014
Color Bregman TV. Zbl 1361.94017
Moeller, Michael; Brinkmann, Eva-Maria; Burger, Martin; Seybold, Tamara
9
2014
Inverse problems in geographical economics: parameter identification in the spatial Solow model. Zbl 1353.91026
Engbers, Ralf; Burger, Martin; Capasso, Vincenzo
4
2014
Optimal control of self-consistent classical and quantum particle systems. Zbl 1327.49006
Burger, Martin; Pinnau, René; Fouego, Marcisse; Rau, Sebastian
1
2014
A hyperelastic regularization energy for image registration. Zbl 1318.92028
Burger, Martin; Modersitzki, Jan; Ruthotto, Lars
51
2013
Higher-order TV methods – enhancement via Bregman iteration. Zbl 1308.94012
Benning, Martin; Brune, Christoph; Burger, Martin; Müller, Jahn
46
2013
A guide to the TV zoo. Zbl 1342.94014
Burger, Martin; Osher, Stanley
41
2013
Ground states and singular vectors of convex variational regularization methods. Zbl 1294.49020
Benning, Martin; Burger, Martin
29
2013
Stationary states of quadratic diffusion equations with long-range attraction. Zbl 1282.35203
Burger, Martin; Di Francesco, Marco; Franek, Marzena
24
2013
Convergence rates in \(\ell^1\)-regularization if the sparsity assumption fails. Zbl 1262.49010
Burger, Martin; Flemming, Jens; Hofmann, Bernd
24
2013
EM-TV methods for inverse problems with Poisson noise. Zbl 1342.94026
Sawatzky, Alex; Brune, Christoph; Kösters, Thomas; Wübbeling, Frank; Burger, Martin
19
2013
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
18
2013
An adaptive inverse scale space method for compressed sensing. Zbl 1260.49053
Burger, Martin; Möller, Michael; Benning, Martin; Osher, Stanley
16
2013
A variational framework for region-based segmentation incorporating physical noise models. Zbl 1291.68402
Sawatzky, Alex; Tenbrinck, Daniel; Jiang, Xiaoyi; Burger, Martin
16
2013
Multiscale methods for polyhedral regularizations. Zbl 1281.65091
Moeller, Michael; Burger, Martin
4
2013
Level set and PDE based reconstruction methods in imaging. Lecture notes given at the CIME summer school, Cetraro, Italy, September 2008. Zbl 1277.94002
4
2013
Identification of nonlinearities in transport-diffusion models of crowded motion. Zbl 1292.35322
Burger, Martin; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
3
2013
Inverse problems in imaging. Zbl 1291.65060
Burger, Martin; Dirks, Hendrik; Müller, Jahn
2
2013
Nonlinear Poisson-Nernst-Planck equations for ion flux through confined geometries. Zbl 1236.92011
Burger, M.; Schlake, B.; Wolfram, M-T
36
2012
Regularized regression and density estimation based on optimal transport. Zbl 1318.62122
Burger, Martin; Franek, Marzena; Schönlieb, Carola-Bibiane
16
2012
The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy. Zbl 1241.65054
Stück, Robert; Burger, Martin; Hohage, Thorsten
8
2012
A variational approach for sharpening high dimensional images. Zbl 1258.94018
Möller, Michael; Wittman, Todd; Bertozzi, Andrea L.; Burger, Martin
7
2012
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
130
2011
Primal and dual Bregman methods with application to optical nanoscopy. Zbl 1235.94016
Brune, Christoph; Sawatzky, Alex; Burger, Martin
25
2011
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
18
2011
Error estimates for general fidelities. Zbl 1285.47015
Benning, Martin; Burger, Martin
11
2011
...and 67 more Documents
all top 5

Cited by 3,156 Authors

79 Burger, Martin
36 Carrillo de la Plata, José Antonio
34 Schönlieb, Carola-Bibiane
33 Osher, Stanley Joel
21 Yuan, Xiaoming
20 Jüngel, Ansgar
20 Wolfram, Marie-Therese
18 Tai, Xuecheng
17 Pietschmann, Jan-Frederik
16 Gilboa, Guy
16 Hofmann, Bernd
16 Zhang, Xiaoqun
15 Capasso, Vincenzo
15 Novotny, Antonio André
15 Wang, Michael Yu
14 Chen, Ke
14 Dapogny, Charles
14 Scherzer, Otmar
14 Shen, Zuowei
13 Bredies, Kristian
13 Han, Bo
13 Hintermüller, Michael
13 Huang, Ting-Zhu
13 Zhu, Shengfeng
12 Allaire, Grégoire
12 Kindermann, Stefan
12 Steidl, Gabriele
11 Bellomo, Nicola
11 Garcke, Harald
11 Kaltenbacher, Barbara
11 Yin, Wotao
11 Zeng, Tie Yong
10 Dong, Bin
10 Fagioli, Simone
10 Kovtunenko, Viktor Anatolievich
10 Leitão, Antonio
10 Möller, Michael
10 Pinnau, René
10 Wu, Boying
9 Amstutz, Samuel
9 Bertozzi, Andrea Louise
9 Bungert, Leon
9 Di Francesco, Marco
9 Ehrhardt, Matthias Joachim
9 Fetecau, Razvan C.
9 He, Bingsheng
9 Helin, Tapio
9 Hohage, Thorsten
9 Luo, Zhen
9 Stuart, Andrew M.
9 Winkler, Michael
9 Zhang, Mingji
8 Arridge, Simon R.
8 Benning, Martin
8 Bruna, Maria
8 Calatroni, Luca
8 Dorn, Oliver
8 Herty, Michael Matthias
8 Jin, Qinian
8 Korolev, Yury M.
8 Laurent, Thomas
8 Lv, Xiaoguang
8 Öktem, Ozan
8 Resmerita, Elena
8 Schmidtchen, Markus
8 Valkonen, Tuomo
8 Wei, Guowei
7 Albi, Giacomo
7 De Cezaro, Adriano
7 Dong, Yiqiu
7 Düring, Bertram
7 Fuchs, Martin
7 Haltmeier, Markus
7 Laghrib, Amine
7 Liu, Hailiang
7 Liu, Jun
7 Lou, Yifei
7 Lu, Shuai
7 Ma, Feng
7 Ma, Shiqian
7 Mang, Andreas
7 Markowich, Peter Alexander
7 Nishiwaki, Shinji
7 Papadakis, Nicolas
7 Park, Won-Kwang
7 Peng, Jigen
7 Peyré, Gabriel
7 Ramlau, Ronny
7 Solombrino, Francesco
7 Theljani, Anis
7 Tong, Liyong
7 Yang, Yunyun
7 Zhang, Daoping
7 Zheng, Jiashan
7 Zhu, Wei
6 Bildhauer, Michael
6 Cancès, Clément
6 Chambolle, Antonin
6 Chan, Tony Fan-Cheong
6 Chen, Chong
...and 3,056 more Authors
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Cited in 310 Serials

143 Inverse Problems
101 Journal of Computational Physics
96 SIAM Journal on Imaging Sciences
72 Journal of Mathematical Imaging and Vision
66 Journal of Scientific Computing
62 Inverse Problems and Imaging
58 Computer Methods in Applied Mechanics and Engineering
51 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
34 Computers & Mathematics with Applications
30 Journal of Differential Equations
28 Journal of Computational and Applied Mathematics
28 Journal of Inverse and Ill-Posed Problems
27 Applied Mathematics and Computation
27 SIAM Journal on Mathematical Analysis
25 Mathematics of Computation
25 Inverse Problems in Science and Engineering
24 Structural and Multidisciplinary Optimization
23 SIAM Journal on Scientific Computing
22 Applicable Analysis
22 Numerische Mathematik
22 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
21 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
21 SIAM Journal on Applied Mathematics
20 Computational Optimization and Applications
19 Mathematical Problems in Engineering
18 SIAM Journal on Numerical Analysis
18 Applied Mathematical Modelling
16 Applied Numerical Mathematics
15 Journal of Mathematical Analysis and Applications
15 Mathematical Methods in the Applied Sciences
15 International Journal for Numerical Methods in Engineering
15 Journal of Optimization Theory and Applications
15 SIAM Journal on Optimization
15 Applied and Computational Harmonic Analysis
15 Discrete and Continuous Dynamical Systems. Series B
14 Journal of Mathematical Biology
14 Kinetic and Related Models
13 Numerical Algorithms
12 Applied Mathematics and Optimization
12 Numerical Functional Analysis and Optimization
12 SIAM Journal on Control and Optimization
12 Journal of Nonlinear Science
11 International Journal of Computer Vision
11 Advances in Computational Mathematics
11 Foundations of Computational Mathematics
11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
10 Computational and Applied Mathematics
9 Communications in Partial Differential Equations
9 Optimization Methods & Software
9 SIAM/ASA Journal on Uncertainty Quantification
8 Computational Mechanics
8 International Journal of Computer Mathematics
8 Journal of Mathematical Sciences (New York)
8 Discrete and Continuous Dynamical Systems
8 Abstract and Applied Analysis
8 Nonlinear Analysis. Real World Applications
8 Multiscale Modeling & Simulation
7 Archive for Rational Mechanics and Analysis
7 Journal of Statistical Physics
7 Information Sciences
7 Numerical Methods for Partial Differential Equations
7 ETNA. Electronic Transactions on Numerical Analysis
7 Vietnam Journal of Mathematics
7 Journal of Evolution Equations
7 SIAM Journal on Applied Dynamical Systems
6 Communications in Mathematical Physics
6 Journal of Approximation Theory
6 Acta Applicandae Mathematicae
6 SIAM Review
6 Calculus of Variations and Partial Differential Equations
6 Engineering Analysis with Boundary Elements
6 Computing and Visualization in Science
6 International Journal of Computational Methods
6 Communications in Computational Physics
6 GEM - International Journal on Geomathematics
6 Journal of the Operations Research Society of China
5 BIT
5 Physica D
5 Mathematical and Computer Modelling
5 European Journal of Applied Mathematics
5 Journal of Inequalities and Applications
5 Interfaces and Free Boundaries
5 Mathematical Biosciences and Engineering
5 Oberwolfach Reports
5 Computational & Mathematical Methods in Medicine
5 Networks and Heterogeneous Media
5 Journal of Theoretical Biology
4 Nonlinearity
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Bulletin of Mathematical Biology
4 Automatica
4 Journal of Functional Analysis
4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
4 Applied Mathematics Letters
4 Multidimensional Systems and Signal Processing
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Acta Mathematica Sinica. English Series
4 Communications in Nonlinear Science and Numerical Simulation
4 Optimization and Engineering
4 Journal of Applied Mathematics
...and 210 more Serials
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Cited in 48 Fields

989 Numerical analysis (65-XX)
719 Partial differential equations (35-XX)
469 Calculus of variations and optimal control; optimization (49-XX)
454 Information and communication theory, circuits (94-XX)
330 Biology and other natural sciences (92-XX)
315 Computer science (68-XX)
288 Operations research, mathematical programming (90-XX)
235 Mechanics of deformable solids (74-XX)
148 Operator theory (47-XX)
133 Statistics (62-XX)
113 Statistical mechanics, structure of matter (82-XX)
110 Fluid mechanics (76-XX)
86 Probability theory and stochastic processes (60-XX)
82 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
69 Optics, electromagnetic theory (78-XX)
61 Systems theory; control (93-XX)
35 Integral equations (45-XX)
31 Ordinary differential equations (34-XX)
26 Functional analysis (46-XX)
24 Dynamical systems and ergodic theory (37-XX)
24 Approximations and expansions (41-XX)
23 Real functions (26-XX)
21 Geophysics (86-XX)
20 Harmonic analysis on Euclidean spaces (42-XX)
20 Global analysis, analysis on manifolds (58-XX)
18 Integral transforms, operational calculus (44-XX)
16 Mechanics of particles and systems (70-XX)
15 General and overarching topics; collections (00-XX)
15 Classical thermodynamics, heat transfer (80-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
9 Measure and integration (28-XX)
9 Potential theory (31-XX)
8 Differential geometry (53-XX)
8 Quantum theory (81-XX)
5 Special functions (33-XX)
5 Convex and discrete geometry (52-XX)
3 Functions of a complex variable (30-XX)
2 Combinatorics (05-XX)
2 General topology (54-XX)
1 Mathematical logic and foundations (03-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

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