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Burger, Martin

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Author ID: burger.martin Recent zbMATH articles by "Burger, Martin"
Published as: Burger, Martin; Burger, M.
External Links: MGP · ORCID · dblp
Documents Indexed: 169 Publications since 1999, including 4 Books
all top 5

Co-Authors

11 single-authored
13 Wolfram, Marie-Therese
12 Capasso, Vincenzo
11 Markowich, Peter Alexander
11 Osher, Stanley Joel
11 Pietschmann, Jan-Frederik
8 Möller, Michael
8 Schönlieb, Carola-Bibiane
7 Engl, Heinz W.
7 Micheletti, Alessandra
7 Pinnau, René
6 Benning, Martin
6 Brinkmann, Eva-Maria
6 Di Francesco, Marco
5 Bungert, Leon
5 Gilboa, Guy
5 Helin, Tapio
4 Brune, Christoph
4 Dirks, Hendrik Meinert
4 Rasch, Julian
4 Sawatzky, Alex
4 Zhang, Xiaoqun
3 Caffarelli, Luis Ángel
3 Hackl, Benjamin
3 Kaltenbacher, Barbara
3 Korolev, Yury M.
3 Modersitzki, Jan
3 Müller, Jahn
3 Neubauer, Andreas
3 Quinto, Eric Todd
3 Ranetbauer, Helene
3 Totzeck, Claudia
3 Voigt, Axel
3 Xu, Jinjun
2 Ameur, Hend Ben
2 Berendsen, Judith
2 Carrillo de la Plata, José Antonio
2 Dolak-Struss, Yasmin
2 Eckardt, Lina
2 Elvetun, Ole Løseth
2 Engbers, Ralf
2 Föcke, Janic
2 Franek, Marzena Magdalene
2 Frerking, Lena Christina
2 Grah, Joana Sarah
2 Hahn, Bernadette Nadine
2 Hauptmann, Andreas
2 He, Lin
2 Kreusser, Lisa Maria
2 Lorz, Alexander
2 Louis, Alfred Karl
2 Lucka, Felix
2 Morale, Daniela
2 Mühlhuber, Wolfram
2 Papoutsellis, Evangelos
2 Resmerita, Elena
2 Salani, Claudia
2 Scherzer, Otmar
2 Schlake, Bärbel Angelika
2 Schlottbom, Matthias
2 Stöcker, Christina
2 Tenbrinck, Daniel
2 Tse, Oliver
2 Wübbeling, Frank
1 Agapiou, Sergios
1 Aletti, Giacomo
1 Arridge, Simon R.
1 Augustin, Sven
1 Bachmayr, Markus
1 Baumgarten, Daniel
1 Bertozzi, Andrea Louise
1 Bissantz, Nicolai
1 Bodenhofer, Ulrich
1 Bresson, Xavier
1 Bruna, Maria
1 Chambolle, Antonin
1 Chu, Shun-Yin
1 Cremers, Daniel
1 Dashti, Masoumeh
1 De Schutter, Bart
1 Dette, Holger
1 Ding, Qiaoqiao
1 Düring, Bertram
1 Ehrhardt, Matthias Joachim
1 Ehrlacher, Virginie
1 Eisenberg, Robert S.
1 Esposito, Teresa
1 Fagioli, Simone
1 Farber, Michael S.
1 Favaro, Paolo
1 Fetecau, Razvan C.
1 Flemming, Jens
1 Fouego, Marcisse
1 Frick, Klaus
1 Friele, Patricia
1 Ghrist, Robert W.
1 Goldfarb, Donald
1 Gong, Jiafen
1 Gröhn, Olli
1 Gu, Hong
1 Haskovec, Jan
...and 66 more Co-Authors
all top 5

Serials

31 Inverse Problems
8 Communications in Mathematical Sciences
6 SIAM Journal on Imaging Sciences
5 SIAM Journal on Applied Mathematics
5 Journal of Mathematical Imaging and Vision
4 Journal of Computational Physics
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 SIAM Journal on Mathematical Analysis
4 Multiscale Modeling & Simulation
4 Oberwolfach Reports
4 Kinetic and Related Models
3 SIAM Journal on Numerical Analysis
3 Journal of Scientific Computing
3 European Journal of Applied Mathematics
3 Inverse Problems and Imaging
2 Nonlinearity
2 Computing
2 SIAM Journal on Control and Optimization
2 Journal of Inverse and Ill-Posed Problems
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 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 MCSS. Mathematics of Control, Signals, and Systems
1 European Journal of Operational Research
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 Journal of Mathematical Chemistry
1 Computing and Visualization in Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Vietnam Journal of Mathematics
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
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

Publications by Year

Citations contained in zbMATH Open

139 Publications have been cited 2,282 times in 1,582 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
254
2005
Incorporating topological derivatives into level set methods. Zbl 1044.65053
Burger, Martin; Hackl, Benjamin; Ring, Wolfgang
115
2004
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
100
2011
Bregmanized nonlocal regularization for deconvolution and sparse reconstruction. Zbl 1191.94030
Zhang, Xiaoqun; Burger, Martin; Bresson, Xavier; Osher, Stanley
100
2010
Convergence rates of convex variational regularization. Zbl 1068.65085
Burger, Martin; Osher, Stanley
95
2004
A survey on level set methods for inverse problems and optimal design. Zbl 1091.49001
Burger, Martin; Osher, Stanley J.
80
2005
On an aggregation model with long and short range interactions. Zbl 1188.92040
Burger, Martin; Capasso, Vincenzo; Morale, Daniela
60
2007
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
53
2006
A framework for the construction of level set methods for shape optimization and reconstruction. Zbl 1081.35134
Burger, Martin
50
2003
Cahn-Hilliard inpainting and a generalization for grayvalue images. Zbl 1180.49007
Burger, Martin; He, Lin; Schönlieb, Carola-Bibiane
49
2009
A level set method for inverse problems. Zbl 0985.35106
Burger, Martin
46
2001
Large time behavior of nonlocal aggregation models with nonlinear diffusion. Zbl 1171.35328
Burger, Martin; Di Francesco, Marco
45
2008
Phase-field relaxation of topology optimization with local stress constraints. Zbl 1116.74053
Burger, Martin; Stainko, Roman
43
2006
Nonlinear cross-diffusion with size exclusion. Zbl 1227.35155
Burger, Martin; Di Francesco, Marco; Pietschmann, Jan-Frederik; Schlake, Bärbel
41
2010
Higher-order TV methods – enhancement via Bregman iteration. Zbl 1308.94012
Benning, Martin; Brune, Christoph; Burger, Martin; Müller, Jahn
37
2013
A hyperelastic regularization energy for image registration. Zbl 1318.92028
Burger, Martin; Modersitzki, Jan; Ruthotto, Lars
35
2013
Level set methods for geometric inverse problems in linear elasticity. Zbl 1086.35117
Ameur, Hend Ben; Burger, Martin; Hackl, Benjamin
33
2004
Nonlinear inverse scale space methods. Zbl 1106.68117
Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun
33
2006
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
33
2014
Error estimation for Bregman iterations and inverse scale space methods in image restoration. Zbl 1147.68790
Burger, M.; Resmerita, E.; He, L.
29
2007
Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems. Zbl 1112.65049
Burger, Martin; Kaltenbacher, Barbara
28
2006
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
28
2014
Nonlinear Poisson-Nernst-Planck equations for ion flux through confined geometries. Zbl 1236.92011
Burger, M.; Schlake, B.; Wolfram, M-T
26
2012
Iterative total variation schemes for nonlinear inverse problems. Zbl 1188.49028
Bachmayr, Markus; Burger, Martin
25
2009
Modern regularization methods for inverse problems. Zbl 1431.65080
Benning, Martin; Burger, Martin
24
2018
Levenberg-Marquardt level set methods for inverse obstacle problems. Zbl 1059.35162
Burger, Martin
24
2004
A guide to the TV zoo. Zbl 1342.94014
Burger, Martin; Osher, Stanley
24
2013
A mixed finite element method for nonlinear diffusion equations. Zbl 1194.35026
Burger, Martin; Carrillo, José A.; Wolfram, Marie-Therese
23
2010
Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems. Zbl 1325.62058
Helin, T.; Burger, M.
23
2015
Ground states and singular vectors of convex variational regularization methods. Zbl 1294.49020
Benning, Martin; Burger, Martin
23
2013
Stationary states of quadratic diffusion equations with long-range attraction. Zbl 1282.35203
Burger, Martin; Di Francesco, Marco; Franek, Marzena
22
2013
First order algorithms in variational image processing. Zbl 1372.65053
Burger, M.; Sawatzky, A.; Steidl, G.
22
2016
Convergence rates in \(\ell^1\)-regularization if the sparsity assumption fails. Zbl 1262.49010
Burger, Martin; Flemming, Jens; Hofmann, Bernd
21
2013
Spectral decompositions using one-homogeneous functionals. Zbl 1361.35123
Burger, Martin; Gilboa, Guy; Moeller, Michael; Eckardt, Lina; Cremers, Daniel
20
2016
Primal and dual Bregman methods with application to optical nanoscopy. Zbl 1235.94016
Brune, Christoph; Sawatzky, Alex; Burger, Martin
18
2011
Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions. Zbl 1165.35471
Burger, Martin; Dolak-Struss, Yasmin; Schmeiser, Christian
18
2008
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
16
2013
Maximum a posteriori estimates in linear inverse problems with log-concave priors are proper Bayes estimators. Zbl 1302.62010
Burger, Martin; Lucka, Felix
15
2014
Sorting phenomena in a mathematical model for two mutually attracting/repelling species. Zbl 1393.35248
Burger, Martin; Di Francesco, Marco; Fagioli, Simone; Stevens, Angela
14
2018
Lane formation by side-stepping. Zbl 1365.35081
Burger, Martin; Hittmeir, Sabine; Ranetbauer, Helene; Wolfram, Marie-Therese
14
2016
Error bounds for approximation with neural networks. Zbl 1004.41007
Burger, Martin; Neubauer, Andreas
14
2001
Inverse total variation flow. Zbl 1147.49026
Burger, M.; Frick, K.; Osher, S.; Scherzer, O.
14
2007
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
13
2011
A variational framework for region-based segmentation incorporating physical noise models. Zbl 1291.68402
Sawatzky, Alex; Tenbrinck, Daniel; Jiang, Xiaoyi; Burger, Martin
13
2013
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
Burger, Martin (ed.); Caffarelli, Luis (ed.); Markowich, Peter A. (ed.)
13
2014
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
12
2018
Inverse problems related to ion channel selectivity. Zbl 1127.35074
Burger, Martin; Eisenberg, Robert S.; Engl, Heinz W.
12
2007
EM-TV methods for inverse problems with Poisson noise. Zbl 1342.94026
Sawatzky, Alex; Brune, Christoph; Kösters, Thomas; Wübbeling, Frank; Burger, Martin
12
2013
An adaptive inverse scale space method for compressed sensing. Zbl 1260.49053
Burger, Martin; Möller, Michael; Benning, Martin; Osher, Stanley
11
2013
Fast optimal design of semiconductor devices. Zbl 1056.49035
Burger, Martin; Pinnau, René
11
2003
A level set approach to anisotropic flows with curvature regularization. Zbl 1201.82049
Burger, Martin; Haußer, Frank; Stöcker, Christina; Voigt, Axel
11
2007
A variational model for joint motion estimation and image reconstruction. Zbl 1437.94009
Burger, Martin; Dirks, Hendrik; Schönlieb, Carola-Bibiane
10
2018
Identification of doping profiles in semiconductor devices. Zbl 0989.35139
Burger, Martin; Engl, Heinz W.; Markowich, Peter A.; Pietra, Paola
10
2001
Bias reduction in variational regularization. Zbl 1385.49002
Brinkmann, Eva-Maria; Burger, Martin; Rasch, Julian; Sutour, Camille
9
2017
Nonlinear spectral analysis via one-homogeneous functionals: overview and future prospects. Zbl 1409.94182
Gilboa, Guy; Moeller, Michael; Burger, Martin
9
2016
Finite element approximation of elliptic partial differential equations on implicit surfaces. Zbl 1173.65353
Burger, Martin
9
2008
Total variation regularization in measurement and image space for PET reconstruction. Zbl 1308.65214
Burger, M.; Müller, J.; Papoutsellis, E.; Schönlieb, C. B.
9
2014
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
8
2017
Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures. Zbl 1382.35131
Bruna, Maria; Burger, Martin; Ranetbauer, Helene; Wolfram, Marie-Therese
8
2017
Joint reconstruction via coupled Bregman iterations with applications to PET-MR imaging. Zbl 1381.92057
Rasch, Julian; Brinkmann, Eva-Maria; Burger, Martin
8
2018
Iterative regularization of parameter identification problems by sequential quadratic programming methods. Zbl 1005.65124
Burger, Martin; Mühlhuber, Wolfram
8
2002
Mathematical modelling and simulation of non-isothermal crystallization of polymers. Zbl 1012.82035
Burger, Martin; Capasso, Vincenzo
8
2001
Numerical simulation of anisotropic surface diffusion with curvature-dependent energy. Zbl 1143.80343
Burger, Martin
8
2005
Color Bregman TV. Zbl 1361.94017
Moeller, Michael; Brinkmann, Eva-Maria; Burger, Martin; Seybold, Tamara
8
2014
Mesoscale averaging of nucleation and growth models. Zbl 1118.49023
Burger, Martin; Capasso, Vincenzo; Pizzocchero, Livio
8
2006
Analysis of the diffuse domain method for second order elliptic boundary value problems. Zbl 1371.35064
Burger, Martin; Elvetun, Ole Løseth; Schlottbom, Matthias
8
2017
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
7
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
On a Boltzmann mean field model for knowledge growth. Zbl 1347.49057
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
7
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
7
2016
Inverse problems related to crystallization of polymers. Zbl 0918.35143
Burger, Martin; Capasso, Vincenzo; Engl, Heinz W.
7
1999
Second-order edge-penalization in the Ambrosio-Tortorelli functional. Zbl 1332.49016
Burger, M.; Esposito, T.; Zeppieri, C. I.
7
2015
Error estimates for general fidelities. Zbl 1285.47015
Benning, Martin; Burger, Martin
7
2011
Regularized regression and density estimation based on optimal transport. Zbl 1318.62122
Burger, Martin; Franek, Marzena; Schönlieb, Carola-Bibiane
7
2012
Nonlinear inverse scale space methods for image restoration. Zbl 1159.68585
Burger, Martin; Osher, Stanley; Xu, Jinjun; Gilboa, Guy
7
2005
Cavity identification in linear elasticity and thermoelasticity. Zbl 1118.35064
Ben Ameur, Hend; Burger, Martin; Hackl, Benjamin
7
2007
On the asymptotic behavior of a Boltzmann-type price formation model. Zbl 1307.35302
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
7
2014
On a cross-diffusion model for multiple species with nonlocal interaction and size exclusion. Zbl 1366.35064
Berendsen, Judith; Burger, Martin; Pietschmann, Jan-Frederik
7
2017
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
6
2018
Stochastic and deterministic simulation of nonisothermal crystallization of polymers. Zbl 0989.92029
Micheletti, Alessandra; Burger, Martin
6
2001
A globally convergent Gummel map for optimal dopant profiling. Zbl 1173.35706
Burger, Martin; Pinnau, René
6
2009
Training neural networks with noisy data as an ill-posed problem. Zbl 1126.41301
Burger, Martin; Engl, Heinz W.
6
2000
Modelling multi-dimensional crystallization of polymers in interaction with heat transfer. Zbl 1205.82150
Burger, Martin; Capasso, Vincenzo; Salani, Claudia
6
2002
Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth. Zbl 1352.49005
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
5
2017
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
5
2020
Regularization methods for blind deconvolution and blind source separation problems. Zbl 1002.93060
Burger, Martin; Scherzer, Otmar
5
2001
Modelling of polymer crystallization in temperature fields. Zbl 1143.35342
Burger, M.; Capasso, V.; Eder, G.
5
2002
Regularized data-driven construction of fuzzy controllers. Zbl 1022.65073
Burger, M.; Haslinger, J.; Bodenhofer, U.; Engl, H. W.
5
2002
On inverse problems for semiconductor equations. Zbl 1214.82122
Burger, M.; Engl, H. W.; Leitao, A.; Markowich, P. A.
5
2004
A variational approach for sharpening high dimensional images. Zbl 1258.94018
Möller, Michael; Wittman, Todd; Bertozzi, Andrea L.; Burger, Martin
5
2012
A level set based shape optimization method for an elliptic obstacle problem. Zbl 1217.35216
Burger, Martin; Matevosyan, Norayr; Wolfram, Marie-Therese
5
2011
Convergence rates and structure of solutions of inverse problems with imperfect forward models. Zbl 1408.49033
Burger, Martin; Korolev, Yury; Rasch, Julian
4
2019
Numerical approximation of an SQP-type method for parameter identification. Zbl 1035.65117
Burger, Martin; Mühlhuber, Wolfram
4
2002
Optimal control of polymer morphologies. Zbl 1059.80015
Burger, Martin; Capasso, Vincenzo; Micheletti, Alessandra
4
2004
Stability analysis of the inverse transmembrane potential problem in electrocardiography. Zbl 1202.35345
Burger, Martin; Mardal, Kent-André; Nielsen, Bjørn Fredrik
4
2010
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
4
2019
The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy. Zbl 1241.65054
Stück, Robert; Burger, Martin; Hohage, Thorsten
4
2012
Multiscale methods for polyhedral regularizations. Zbl 1281.65091
Moeller, Michael; Burger, Martin
4
2013
Simultaneous reconstruction and segmentation for dynamic SPECT imaging. Zbl 1402.92266
Burger, Martin; Rossmanith, Carolin; Zhang, Xiaoqun
3
2016
Flow characteristics in a crowded transport model. Zbl 1349.35152
Burger, Martin; Pietschmann, Jan-Frederik
3
2016
Mean-field optimal control and optimality conditions in the space of probability measures. Zbl 1460.49019
Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver
1
2021
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
5
2020
Instantaneous control of interacting particle systems in the mean-field limit. Zbl 1454.82025
Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver; Roth, Andreas
3
2020
Preface to special issue on joint reconstruction and multi-modality/multi-spectral imaging. Zbl 1429.00023
Arridge, Simon R.; Burger, Martin; Ehrhardt, Matthias J.
1
2020
Segregation effects and gap formation in cross-diffusion models. Zbl 1445.35048
Burger, Martin; Carrillo, José A.; Pietschmann, Jan-Frederik; Schmidtchen, Markus
1
2020
Convergence rates and structure of solutions of inverse problems with imperfect forward models. Zbl 1408.49033
Burger, Martin; Korolev, Yury; Rasch, Julian
4
2019
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
4
2019
Solution paths of variational regularization methods for inverse problems. Zbl 1426.49038
Bungert, Leon; Burger, Martin
2
2019
Unified models for second-order TV-type regularisation in imaging: a new perspective based on vector operators. Zbl 07073919
Brinkmann, Eva-Maria; Burger, Martin; Grah, Joana Sarah
1
2019
Modern regularization methods for inverse problems. Zbl 1431.65080
Benning, Martin; Burger, Martin
24
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
14
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
12
2018
A variational model for joint motion estimation and image reconstruction. Zbl 1437.94009
Burger, Martin; Dirks, Hendrik; Schönlieb, Carola-Bibiane
10
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
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
7
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
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
6
2018
Large noise in variational regularization. Zbl 1404.49025
Burger, Martin; Helin, Tapio; Kekkonen, Hanne
3
2018
Dynamic SPECT reconstruction with temporal edge correlation. Zbl 1437.92070
Ding, Qiaoqiao; Burger, Martin; Zhang, Xiaoqun
2
2018
Preface: Dynamic inverse problems: modelling-regularization-numerics. Zbl 1395.00048
Schuster, Thomas; Hahn, Bernadette; Burger, Martin
2
2018
A node current-based 2-index formulation for the fixed-destination multi-depot travelling salesman problem. Zbl 1374.90044
Burger, M.; Su, Z.; De Schutter, B.
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
Bias reduction in variational regularization. Zbl 1385.49002
Brinkmann, Eva-Maria; Burger, Martin; Rasch, Julian; Sutour, Camille
9
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
8
2017
Cross-diffusion systems with excluded-volume effects and asymptotic gradient flow structures. Zbl 1382.35131
Bruna, Maria; Burger, Martin; Ranetbauer, Helene; Wolfram, Marie-Therese
8
2017
Analysis of the diffuse domain method for second order elliptic boundary value problems. Zbl 1371.35064
Burger, Martin; Elvetun, Ole Løseth; Schlottbom, Matthias
8
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
7
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
5
2017
On optical flow models for variational motion estimation. Zbl 1406.49037
Burger, Martin; Dirks, Hendrik; Frerking, Lena
1
2017
First order algorithms in variational image processing. Zbl 1372.65053
Burger, M.; Sawatzky, A.; Steidl, G.
22
2016
Spectral decompositions using one-homogeneous functionals. Zbl 1361.35123
Burger, Martin; Gilboa, Guy; Moeller, Michael; Eckardt, Lina; Cremers, Daniel
20
2016
Lane formation by side-stepping. Zbl 1365.35081
Burger, Martin; Hittmeir, Sabine; Ranetbauer, Helene; Wolfram, Marie-Therese
14
2016
Nonlinear spectral analysis via one-homogeneous functionals: overview and future prospects. Zbl 1409.94182
Gilboa, Guy; Moeller, Michael; Burger, Martin
9
2016
On a Boltzmann mean field model for knowledge growth. Zbl 1347.49057
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
7
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
7
2016
Simultaneous reconstruction and segmentation for dynamic SPECT imaging. Zbl 1402.92266
Burger, Martin; Rossmanith, Carolin; Zhang, Xiaoqun
3
2016
Flow characteristics in a crowded transport model. Zbl 1349.35152
Burger, Martin; Pietschmann, Jan-Frederik
3
2016
Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems. Zbl 1325.62058
Helin, T.; Burger, M.
23
2015
Second-order edge-penalization in the Ambrosio-Tortorelli functional. Zbl 1332.49016
Burger, M.; Esposito, T.; Zeppieri, C. I.
7
2015
Locally sparse reconstruction using the \(\ell^{1,\infty}\)-norm. Zbl 1332.65062
Heins, Pia; Moeller, Michael; Burger, Martin
2
2015
Regularization with sparse vector fields: from image compression to TV-type reconstruction. Zbl 1444.94006
Brinkmann, Eva-Maria; Burger, Martin; Grah, Joana
1
2015
Diffuse interface methods for inverse problems: case study for an elliptic Cauchy problem. Zbl 1329.35345
Burger, Martin; Elvetun, Ole Løseth; Schlottbom, Matthias
1
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
33
2014
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
28
2014
Maximum a posteriori estimates in linear inverse problems with log-concave priors are proper Bayes estimators. Zbl 1302.62010
Burger, Martin; Lucka, Felix
15
2014
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.
13
2014
Total variation regularization in measurement and image space for PET reconstruction. Zbl 1308.65214
Burger, M.; Müller, J.; Papoutsellis, E.; Schönlieb, C. B.
9
2014
Color Bregman TV. Zbl 1361.94017
Moeller, Michael; Brinkmann, Eva-Maria; Burger, Martin; Seybold, Tamara
8
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
7
2014
Inverse problems in geographical economics: parameter identification in the spatial Solow model. Zbl 1353.91026
Engbers, Ralf; Burger, Martin; Capasso, Vincenzo
3
2014
Optimal control of self-consistent classical and quantum particle systems. Zbl 1327.49006
Burger, Martin; Pinnau, René; Fouego, Marcisse; Rau, Sebastian
1
2014
Higher-order TV methods – enhancement via Bregman iteration. Zbl 1308.94012
Benning, Martin; Brune, Christoph; Burger, Martin; Müller, Jahn
37
2013
A hyperelastic regularization energy for image registration. Zbl 1318.92028
Burger, Martin; Modersitzki, Jan; Ruthotto, Lars
35
2013
A guide to the TV zoo. Zbl 1342.94014
Burger, Martin; Osher, Stanley
24
2013
Ground states and singular vectors of convex variational regularization methods. Zbl 1294.49020
Benning, Martin; Burger, Martin
23
2013
Stationary states of quadratic diffusion equations with long-range attraction. Zbl 1282.35203
Burger, Martin; Di Francesco, Marco; Franek, Marzena
22
2013
Convergence rates in \(\ell^1\)-regularization if the sparsity assumption fails. Zbl 1262.49010
Burger, Martin; Flemming, Jens; Hofmann, Bernd
21
2013
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
16
2013
A variational framework for region-based segmentation incorporating physical noise models. Zbl 1291.68402
Sawatzky, Alex; Tenbrinck, Daniel; Jiang, Xiaoyi; Burger, Martin
13
2013
EM-TV methods for inverse problems with Poisson noise. Zbl 1342.94026
Sawatzky, Alex; Brune, Christoph; Kösters, Thomas; Wübbeling, Frank; Burger, Martin
12
2013
An adaptive inverse scale space method for compressed sensing. Zbl 1260.49053
Burger, Martin; Möller, Michael; Benning, Martin; Osher, Stanley
11
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
Burger, Martin; Osher, Stanley
2
2013
Inverse problems in imaging. Zbl 1291.65060
Burger, Martin; Dirks, Hendrik; Müller, Jahn
2
2013
Identification of nonlinearities in transport-diffusion models of crowded motion. Zbl 1292.35322
Burger, Martin; Pietschmann, Jan-Frederik; Wolfram, Marie-Therese
1
2013
Nonlinear Poisson-Nernst-Planck equations for ion flux through confined geometries. Zbl 1236.92011
Burger, M.; Schlake, B.; Wolfram, M-T
26
2012
Regularized regression and density estimation based on optimal transport. Zbl 1318.62122
Burger, Martin; Franek, Marzena; Schönlieb, Carola-Bibiane
7
2012
A variational approach for sharpening high dimensional images. Zbl 1258.94018
Möller, Michael; Wittman, Todd; Bertozzi, Andrea L.; Burger, Martin
5
2012
The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy. Zbl 1241.65054
Stück, Robert; Burger, Martin; Hohage, Thorsten
4
2012
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
100
2011
Primal and dual Bregman methods with application to optical nanoscopy. Zbl 1235.94016
Brune, Christoph; Sawatzky, Alex; Burger, Martin
18
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
13
2011
Error estimates for general fidelities. Zbl 1285.47015
Benning, Martin; Burger, Martin
7
2011
A level set based shape optimization method for an elliptic obstacle problem. Zbl 1217.35216
Burger, Martin; Matevosyan, Norayr; Wolfram, Marie-Therese
5
2011
Inverse problems in ion channel modelling. Zbl 1222.35209
Burger, Martin
2
2011
Bregmanized nonlocal regularization for deconvolution and sparse reconstruction. Zbl 1191.94030
Zhang, Xiaoqun; Burger, Martin; Bresson, Xavier; Osher, Stanley
100
2010
Nonlinear cross-diffusion with size exclusion. Zbl 1227.35155
Burger, Martin; Di Francesco, Marco; Pietschmann, Jan-Frederik; Schlake, Bärbel
41
2010
A mixed finite element method for nonlinear diffusion equations. Zbl 1194.35026
Burger, Martin; Carrillo, José A.; Wolfram, Marie-Therese
23
2010
Stability analysis of the inverse transmembrane potential problem in electrocardiography. Zbl 1202.35345
Burger, Martin; Mardal, Kent-André; Nielsen, Bjørn Fredrik
4
2010
Discovering a point source in unknown environments. Zbl 1215.93091
Burger, Martin; Landa, Yanina; Tanushev, Nicolay M.; Tsai, Richard
2
2010
Cahn-Hilliard inpainting and a generalization for grayvalue images. Zbl 1180.49007
Burger, Martin; He, Lin; Schönlieb, Carola-Bibiane
49
2009
Iterative total variation schemes for nonlinear inverse problems. Zbl 1188.49028
Bachmayr, Markus; Burger, Martin
25
2009
A globally convergent Gummel map for optimal dopant profiling. Zbl 1173.35706
Burger, Martin; Pinnau, René
6
2009
Large time behavior of nonlocal aggregation models with nonlinear diffusion. Zbl 1171.35328
Burger, Martin; Di Francesco, Marco
45
2008
Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions. Zbl 1165.35471
Burger, Martin; Dolak-Struss, Yasmin; Schmeiser, Christian
18
2008
Finite element approximation of elliptic partial differential equations on implicit surfaces. Zbl 1173.65353
Burger, Martin
9
2008
The Willmore functional and instabilities in the Cahn-Hilliard equation. Zbl 1154.35009
Burger, Martin; Chu, Shun-Yin; Markowich, Peter A.; Schönlieb, Carola-Bibiane
3
2008
On/off-state design of semiconductor doping profiles. Zbl 1160.49021
Burger, Martin; Pinnau, René; Wolfram, Marie-Therese
3
2008
Finite element-based level set methods for higher order flows. Zbl 1203.76111
Burger, Martin; Stöcker, Christina; Voigt, Axel
2
2008
On an aggregation model with long and short range interactions. Zbl 1188.92040
Burger, Martin; Capasso, Vincenzo; Morale, Daniela
60
2007
Error estimation for Bregman iterations and inverse scale space methods in image restoration. Zbl 1147.68790
Burger, M.; Resmerita, E.; He, L.
29
2007
Inverse total variation flow. Zbl 1147.49026
Burger, M.; Frick, K.; Osher, S.; Scherzer, O.
14
2007
Inverse problems related to ion channel selectivity. Zbl 1127.35074
Burger, Martin; Eisenberg, Robert S.; Engl, Heinz W.
12
2007
A level set approach to anisotropic flows with curvature regularization. Zbl 1201.82049
Burger, Martin; Haußer, Frank; Stöcker, Christina; Voigt, Axel
11
2007
Cavity identification in linear elasticity and thermoelasticity. Zbl 1118.35064
Ben Ameur, Hend; Burger, Martin; Hackl, Benjamin
7
2007
Optimization models for semiconductor dopant profiling. Zbl 1115.82038
Burger, Martin; Hinze, Michael; Pinnau, Rene
3
2007
An extension of the Kolmogorov-Avrami formula to inhomogeneous birth-and-growth processes. Zbl 1203.60127
Burger, Martin; Capasso, Vincenzo; Micheletti, Alessandra
1
2007
Topology and robotics. Results of the workshop, FIM, ETH Zurich, Switzerland, July 10–14, 2006. Zbl 1120.55002
Farber, M.; Ghrist, R.; Burger, M.; Koditschek, D.
1
2007
Global weak solutions of non-isothermal front propagation problem. Zbl 1132.76056
Su, Bo; Burger, Martin
1
2007
...and 39 more Documents
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Cited by 2,420 Authors

62 Burger, Martin
32 Carrillo de la Plata, José Antonio
26 Osher, Stanley Joel
26 Schönlieb, Carola-Bibiane
18 Yuan, Xiaoming
16 Wolfram, Marie-Therese
15 Hofmann, Bernd
15 Jüngel, Ansgar
15 Tai, Xuecheng
15 Wang, Michael Yu
15 Zhang, Xiaoqun
14 Capasso, Vincenzo
14 Shen, Zuowei
13 Novotny, Antonio André
12 Chen, Ke
12 Huang, Ting-Zhu
12 Scherzer, Otmar
11 Gilboa, Guy
10 Bredies, Kristian
10 Hintermüller, Michael
10 Kindermann, Stefan
10 Möller, Michael
10 Wu, Boying
9 Allaire, Grégoire
9 Amstutz, Samuel
9 Bellomo, Nicola
9 Bertozzi, Andrea Louise
9 Dapogny, Charles
9 Di Francesco, Marco
9 Fetecau, Razvan C.
9 Han, Bo
9 Kaltenbacher, Barbara
9 Kovtunenko, Viktor Anatolievich
9 Luo, Zhen
9 Pietschmann, Jan-Frederik
9 Steidl, Gabriele
8 Dong, Bin
8 He, Bingsheng
8 Laurent, Thomas
8 Pinnau, René
8 Valkonen, Tuomo
8 Wei, Guowei
8 Zeng, Tie Yong
7 Benning, Martin
7 De Cezaro, Adriano
7 Dorn, Oliver
7 Düring, Bertram
7 Ehrhardt, Matthias Joachim
7 Fagioli, Simone
7 Fuchs, Martin
7 Hohage, Thorsten
7 Leitão, Antonio
7 Liu, Jun
7 Lu, Shuai
7 Lv, Xiaoguang
7 Ma, Feng
7 Ma, Shiqian
7 Park, Won-Kwang
7 Ramlau, Ronny
7 Stuart, Andrew M.
7 Tong, Liyong
7 Yin, Wotao
7 Zhang, Mingji
7 Zheng, Jiashan
7 Zhu, Shengfeng
6 Bildhauer, Michael
6 Chan, Tony Fan-Cheong
6 Fakih, Hussein
6 Garcke, Harald
6 Haltmeier, Markus
6 Ji, Hui
6 Liu, Hailiang
6 Liu, Weishi
6 Markowich, Peter Alexander
6 Peng, Jigen
6 Peyré, Gabriel
6 Resmerita, Elena
6 Schmidtchen, Markus
6 Shi, Tielin
6 Shi, Yuying
6 Slepčev, Dejan
6 Xia, Qi
6 Yang, Yufei
6 Yang, Yunyun
5 Arridge, Simon R.
5 Brinkmann, Eva-Maria
5 Calatroni, Luca
5 Chambolle, Antonin
5 Dong, Fangfang
5 Dong, Yiqiu
5 Duan, Yuping
5 Flemming, Jens
5 Helin, Tapio
5 Herty, Michael Matthias
5 Jia, Junxiong
5 Jin, Qinian
5 Jung, Miyoun
5 Kang, Zhan
5 Kolehmainen, Ville
5 Kong, Dexing
...and 2,320 more Authors
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Cited in 267 Serials

94 Inverse Problems
79 Journal of Computational Physics
68 SIAM Journal on Imaging Sciences
62 Journal of Mathematical Imaging and Vision
52 Journal of Scientific Computing
49 Inverse Problems and Imaging
46 Computer Methods in Applied Mechanics and Engineering
44 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
28 Computers & Mathematics with Applications
26 Journal of Inverse and Ill-Posed Problems
24 Structural and Multidisciplinary Optimization
23 Applied Mathematics and Computation
22 Journal of Computational and Applied Mathematics
22 Inverse Problems in Science and Engineering
21 Applicable Analysis
19 Mathematics of Computation
19 Numerische Mathematik
19 Computational Optimization and Applications
19 Mathematical Problems in Engineering
17 SIAM Journal on Applied Mathematics
17 SIAM Journal on Mathematical Analysis
17 SIAM Journal on Scientific Computing
17 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
16 Journal of Differential Equations
15 International Journal for Numerical Methods in Engineering
15 Journal of Optimization Theory and Applications
15 SIAM Journal on Numerical Analysis
14 Journal of Mathematical Analysis and Applications
14 Mathematical Methods in the Applied Sciences
13 Applied Numerical Mathematics
13 SIAM Journal on Optimization
13 Applied and Computational Harmonic Analysis
12 Journal of Mathematical Biology
11 Numerical Functional Analysis and Optimization
11 Numerical Algorithms
11 Discrete and Continuous Dynamical Systems. Series B
11 Kinetic and Related Models
10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
10 Advances in Computational Mathematics
9 Journal of Nonlinear Science
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 SIAM Journal on Control and Optimization
8 International Journal of Computer Vision
8 Discrete and Continuous Dynamical Systems
8 Abstract and Applied Analysis
8 Optimization Methods & Software
8 Nonlinear Analysis. Real World Applications
8 Foundations of Computational Mathematics
7 Archive for Rational Mechanics and Analysis
7 Applied Mathematical Modelling
7 Journal of Mathematical Sciences (New York)
7 Computational and Applied Mathematics
7 Journal of Evolution Equations
7 Multiscale Modeling & Simulation
6 Journal of Statistical Physics
6 Information Sciences
6 Journal of Approximation Theory
6 Computational Mechanics
6 Communications in Partial Differential Equations
6 Vietnam Journal of Mathematics
6 International Journal of Computational Methods
5 Communications in Mathematical Physics
5 Applied Mathematics and Optimization
5 Mathematical and Computer Modelling
5 International Journal of Computer Mathematics
5 Calculus of Variations and Partial Differential Equations
5 Engineering Analysis with Boundary Elements
5 Journal of Inequalities and Applications
5 Interfaces and Free Boundaries
5 SIAM Journal on Applied Dynamical Systems
5 Computational & Mathematical Methods in Medicine
5 SIAM/ASA Journal on Uncertainty Quantification
4 BIT
4 Acta Applicandae Mathematicae
4 Numerical Methods for Partial Differential Equations
4 Multidimensional Systems and Signal Processing
4 Computing and Visualization in Science
4 Journal of Applied Mathematics
4 Communications on Pure and Applied Analysis
4 International Journal of Wavelets, Multiresolution and Information Processing
4 Mathematical Biosciences and Engineering
4 Networks and Heterogeneous Media
4 Journal of Theoretical Biology
4 Journal of the Operations Research Society of China
4 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
3 Bulletin of Mathematical Biology
3 Journal of Functional Analysis
3 Chinese Annals of Mathematics. Series B
3 Physica D
3 Applied Mathematics Letters
3 Machine Learning
3 Computational Statistics and Data Analysis
3 Mathematical Programming. Series A. Series B
3 Applied Mathematics. Series B (English Edition)
3 ETNA. Electronic Transactions on Numerical Analysis
3 Acta Mathematica Sinica. English Series
3 Communications in Nonlinear Science and Numerical Simulation
3 Computational Geosciences
3 Archives of Computational Methods in Engineering
3 Acta Numerica
...and 167 more Serials
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Cited in 45 Fields

739 Numerical analysis (65-XX)
511 Partial differential equations (35-XX)
368 Information and communication theory, circuits (94-XX)
357 Calculus of variations and optimal control; optimization (49-XX)
245 Biology and other natural sciences (92-XX)
231 Computer science (68-XX)
214 Operations research, mathematical programming (90-XX)
188 Mechanics of deformable solids (74-XX)
123 Operator theory (47-XX)
89 Fluid mechanics (76-XX)
87 Statistical mechanics, structure of matter (82-XX)
82 Statistics (62-XX)
59 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
56 Optics, electromagnetic theory (78-XX)
55 Probability theory and stochastic processes (60-XX)
38 Systems theory; control (93-XX)
26 Integral equations (45-XX)
24 Ordinary differential equations (34-XX)
20 Functional analysis (46-XX)
18 Dynamical systems and ergodic theory (37-XX)
17 Approximations and expansions (41-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
16 Integral transforms, operational calculus (44-XX)
16 Mechanics of particles and systems (70-XX)
16 Geophysics (86-XX)
15 Global analysis, analysis on manifolds (58-XX)
14 Real functions (26-XX)
12 Classical thermodynamics, heat transfer (80-XX)
10 General and overarching topics; collections (00-XX)
8 Differential geometry (53-XX)
7 Potential theory (31-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Measure and integration (28-XX)
6 Convex and discrete geometry (52-XX)
5 Special functions (33-XX)
4 Quantum theory (81-XX)
2 General topology (54-XX)
1 Mathematical logic and foundations (03-XX)
1 Combinatorics (05-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-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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