×
Compute Distance To:
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

12 single-authored
13 Osher, Stanley Joel
13 Wolfram, Marie-Therese
12 Capasso, Vincenzo
11 Markowich, Peter Alexander
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 Bungert, Leon
6 Di Francesco, Marco
5 Gilboa, Guy
5 Helin, Tapio
4 Brune, Christoph
4 Dirks, Hendrik Meinert
4 Rasch, Julian
4 Sawatzky, Alex
4 Zhang, Xiaoqun
3 Bruna, Maria
3 Caffarelli, Luis Ángel
3 Hackl, Benjamin
3 He, Lin
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 Esposito, Antonio
2 Föcke, Janic
2 Franek, Marzena Magdalene
2 Frerking, Lena Christina
2 Grah, Joana Sarah
2 Hahn, Bernadette Nadine
2 Hauptmann, Andreas
2 Heins, Pia
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 Papoutsellis, Evangelos
2 Resmerita, Elena
2 Ruthotto, Lars
2 Salani, Claudia
2 Scherzer, Otmar
2 Schlake, Bärbel Angelika
2 Schlottbom, Matthias
2 Schulz, Simon M.
2 Soatto, Stefano
2 Stöcker, Christina
2 Tenbrinck, Daniel
2 Tse, Oliver
2 Ward, Michael J.
2 Werner, Philipp
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 Bozorgnia, Farid
1 Bresson, Xavier
1 Chambolle, Antonin
1 Chu, Shun-Yin
1 Cremers, Daniel
1 Dashti, Masoumeh
1 Dette, Holger
1 Ding, Qiaoqiao
1 Düring, Bertram
1 E, Weinan
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
...and 79 more Co-Authors
all top 5

Serials

31 Inverse Problems
8 Communications in Mathematical Sciences
7 SIAM Journal on Applied Mathematics
6 Journal of Mathematical Imaging and Vision
6 SIAM Journal on Imaging Sciences
5 European Journal of Applied Mathematics
5 SIAM Journal on Mathematical Analysis
5 Kinetic and Related Models
4 Journal of Computational Physics
4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4 Multiscale Modeling & Simulation
4 Oberwolfach Reports
3 SIAM Journal on Numerical Analysis
3 Journal of Scientific Computing
3 Inverse Problems and Imaging
2 Nonlinearity
2 Computing
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
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 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 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 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
all top 5

Fields

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

151 Publications have been cited 2,617 times in 1,822 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
280
2005
Incorporating topological derivatives into level set methods. Zbl 1044.65053
Burger, Martin; Hackl, Benjamin; Ring, Wolfgang
124
2004
Bregmanized nonlocal regularization for deconvolution and sparse reconstruction. Zbl 1191.94030
Zhang, Xiaoqun; Burger, Martin; Bresson, Xavier; Osher, Stanley
109
2010
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
108
2011
Convergence rates of convex variational regularization. Zbl 1068.65085
Burger, Martin; Osher, Stanley
101
2004
A survey on level set methods for inverse problems and optimal design. Zbl 1091.49001
Burger, Martin; Osher, Stanley J.
82
2005
On an aggregation model with long and short range interactions. Zbl 1188.92040
Burger, Martin; Capasso, Vincenzo; Morale, Daniela
63
2007
A framework for the construction of level set methods for shape optimization and reconstruction. Zbl 1081.35134
Burger, Martin
61
2003
Cahn-Hilliard inpainting and a generalization for grayvalue images. Zbl 1180.49007
Burger, Martin; He, Lin; Schönlieb, Carola-Bibiane
57
2009
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
57
2006
Phase-field relaxation of topology optimization with local stress constraints. Zbl 1116.74053
Burger, Martin; Stainko, Roman
53
2006
A level set method for inverse problems. Zbl 0985.35106
Burger, Martin
51
2001
Large time behavior of nonlocal aggregation models with nonlinear diffusion. Zbl 1171.35328
Burger, Martin; Di Francesco, Marco
47
2008
Nonlinear cross-diffusion with size exclusion. Zbl 1227.35155
Burger, Martin; Di Francesco, Marco; Pietschmann, Jan-Frederik; Schlake, Bärbel
47
2010
A hyperelastic regularization energy for image registration. Zbl 1318.92028
Burger, Martin; Modersitzki, Jan; Ruthotto, Lars
47
2013
Higher-order TV methods – enhancement via Bregman iteration. Zbl 1308.94012
Benning, Martin; Brune, Christoph; Burger, Martin; Müller, Jahn
41
2013
Nonlinear inverse scale space methods. Zbl 1106.68117
Burger, Martin; Gilboa, Guy; Osher, Stanley; Xu, Jinjun
39
2006
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
37
2014
Modern regularization methods for inverse problems. Zbl 1431.65080
Benning, Martin; Burger, Martin
36
2018
Level set methods for geometric inverse problems in linear elasticity. Zbl 1086.35117
Ameur, Hend Ben; Burger, Martin; Hackl, Benjamin
34
2004
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
33
2014
Error estimation for Bregman iterations and inverse scale space methods in image restoration. Zbl 1147.68790
Burger, M.; Resmerita, E.; He, L.
31
2007
A guide to the TV zoo. Zbl 1342.94014
Burger, Martin; Osher, Stanley
31
2013
Regularizing Newton-Kaczmarz methods for nonlinear ill-posed problems. Zbl 1112.65049
Burger, Martin; Kaltenbacher, Barbara
30
2006
Nonlinear Poisson-Nernst-Planck equations for ion flux through confined geometries. Zbl 1236.92011
Burger, M.; Schlake, B.; Wolfram, M-T
29
2012
First order algorithms in variational image processing. Zbl 1372.65053
Burger, M.; Sawatzky, A.; Steidl, G.
28
2016
Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems. Zbl 1325.62058
Helin, T.; Burger, M.
27
2015
Iterative total variation schemes for nonlinear inverse problems. Zbl 1188.49028
Bachmayr, Markus; Burger, Martin
26
2009
Spectral decompositions using one-homogeneous functionals. Zbl 1361.35123
Burger, Martin; Gilboa, Guy; Moeller, Michael; Eckardt, Lina; Cremers, Daniel
26
2016
Ground states and singular vectors of convex variational regularization methods. Zbl 1294.49020
Benning, Martin; Burger, Martin
25
2013
A mixed finite element method for nonlinear diffusion equations. Zbl 1194.35026
Burger, Martin; Carrillo, José A.; Wolfram, Marie-Therese
24
2010
Stationary states of quadratic diffusion equations with long-range attraction. Zbl 1282.35203
Burger, Martin; Di Francesco, Marco; Franek, Marzena
24
2013
Levenberg-Marquardt level set methods for inverse obstacle problems. Zbl 1059.35162
Burger, Martin
24
2004
Convergence rates in \(\ell^1\)-regularization if the sparsity assumption fails. Zbl 1262.49010
Burger, Martin; Flemming, Jens; Hofmann, Bernd
24
2013
Sorting phenomena in a mathematical model for two mutually attracting/repelling species. Zbl 1393.35248
Burger, Martin; Di Francesco, Marco; Fagioli, Simone; Stevens, Angela
21
2018
Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions. Zbl 1165.35471
Burger, Martin; Dolak-Struss, Yasmin; Schmeiser, Christian
20
2008
Primal and dual Bregman methods with application to optical nanoscopy. Zbl 1235.94016
Brune, Christoph; Sawatzky, Alex; Burger, Martin
19
2011
Maximum a posteriori estimates in linear inverse problems with log-concave priors are proper Bayes estimators. Zbl 1302.62010
Burger, Martin; Lucka, Felix
18
2014
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
17
2013
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
16
2018
Lane formation by side-stepping. Zbl 1365.35081
Burger, Martin; Hittmeir, Sabine; Ranetbauer, Helene; Wolfram, Marie-Therese
16
2016
Continuous limit of a crowd motion and herding model: analysis and numerical simulations. Zbl 1347.35128
Burger, Martin; Markowich, Peter Alexander; Pietschmann, Jan-Frederik
16
2011
Error bounds for approximation with neural networks. Zbl 1004.41007
Burger, Martin; Neubauer, Andreas
16
2001
Fast optimal design of semiconductor devices. Zbl 1056.49035
Burger, Martin; Pinnau, René
14
2003
Inverse problems related to ion channel selectivity. Zbl 1127.35074
Burger, Martin; Eisenberg, Robert S.; Engl, Heinz W.
14
2007
Inverse total variation flow. Zbl 1147.49026
Burger, M.; Frick, K.; Osher, S.; Scherzer, O.
14
2007
A variational framework for region-based segmentation incorporating physical noise models. Zbl 1291.68402
Sawatzky, Alex; Tenbrinck, Daniel; Jiang, Xiaoyi; Burger, Martin
14
2013
An adaptive inverse scale space method for compressed sensing. Zbl 1260.49053
Burger, Martin; Möller, Michael; Benning, Martin; Osher, Stanley
14
2013
A variational model for joint motion estimation and image reconstruction. Zbl 1437.94009
Burger, Martin; Dirks, Hendrik; Schönlieb, Carola-Bibiane
13
2018
A level set approach to anisotropic flows with curvature regularization. Zbl 1201.82049
Burger, Martin; Haußer, Frank; Stöcker, Christina; Voigt, Axel
13
2007
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
13
2014
EM-TV methods for inverse problems with Poisson noise. Zbl 1342.94026
Sawatzky, Alex; Brune, Christoph; Kösters, Thomas; Wübbeling, Frank; Burger, Martin
13
2013
Nonlinear spectral analysis via one-homogeneous functionals: overview and future prospects. Zbl 1409.94182
Gilboa, Guy; Moeller, Michael; Burger, Martin
12
2016
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
12
2017
Total variation regularization in measurement and image space for PET reconstruction. Zbl 1308.65214
Burger, M.; Müller, J.; Papoutsellis, E.; Schönlieb, C. B.
11
2014
Identification of doping profiles in semiconductor devices. Zbl 0989.35139
Burger, Martin; Engl, Heinz W.; Markowich, Peter A.; Pietra, Paola
11
2001
Cavity identification in linear elasticity and thermoelasticity. Zbl 1118.35064
Ben Ameur, Hend; Burger, Martin; Hackl, Benjamin
11
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
11
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
11
2017
On a Boltzmann mean field model for knowledge growth. Zbl 1347.49057
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
9
2016
Bias reduction in variational regularization. Zbl 1385.49002
Brinkmann, Eva-Maria; Burger, Martin; Rasch, Julian; Sutour, Camille
9
2017
Finite element approximation of elliptic partial differential equations on implicit surfaces. Zbl 1173.65353
Burger, Martin
9
2008
Second-order edge-penalization in the Ambrosio-Tortorelli functional. Zbl 1332.49016
Burger, M.; Esposito, T.; Zeppieri, C. I.
8
2015
Iterative regularization of parameter identification problems by sequential quadratic programming methods. Zbl 1005.65124
Burger, Martin; Mühlhuber, Wolfram
8
2002
On the asymptotic behavior of a Boltzmann-type price formation model. Zbl 1307.35302
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
8
2014
Color Bregman TV. Zbl 1361.94017
Moeller, Michael; Brinkmann, Eva-Maria; Burger, Martin; Seybold, Tamara
8
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
8
2016
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
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
8
2018
Numerical simulation of anisotropic surface diffusion with curvature-dependent energy. Zbl 1143.80343
Burger, Martin
8
2005
Instantaneous control of interacting particle systems in the mean-field limit. Zbl 1454.82025
Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver; Roth, Andreas
8
2020
Mathematical modelling and simulation of non-isothermal crystallization of polymers. Zbl 1012.82035
Burger, Martin; Capasso, Vincenzo
8
2001
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
8
2020
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
Regularized regression and density estimation based on optimal transport. Zbl 1318.62122
Burger, Martin; Franek, Marzena; Schönlieb, Carola-Bibiane
8
2012
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
Inverse problems related to crystallization of polymers. Zbl 0918.35143
Burger, Martin; Capasso, Vincenzo; Engl, Heinz W.
7
1999
Error estimates for general fidelities. Zbl 1285.47015
Benning, Martin; Burger, Martin
7
2011
Convergence rates and structure of solutions of inverse problems with imperfect forward models. Zbl 1408.49033
Burger, Martin; Korolev, Yury; Rasch, Julian
7
2019
Training neural networks with noisy data as an ill-posed problem. Zbl 1126.41301
Burger, Martin; Engl, Heinz W.
7
2000
Delayed blow-up for chemotaxis models with local sensing. Zbl 1470.35073
Burger, Martin; Laurençot, Philippe; Trescases, Ariane
7
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
Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth. Zbl 1352.49005
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
7
2017
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
7
2019
Preface: Dynamic inverse problems: modelling-regularization-numerics. Zbl 1395.00048
6
2018
The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy. Zbl 1241.65054
Stück, Robert; Burger, Martin; Hohage, Thorsten
6
2012
Stochastic and deterministic simulation of nonisothermal crystallization of polymers. Zbl 0989.92029
Micheletti, Alessandra; Burger, Martin
6
2001
Regularization methods for blind deconvolution and blind source separation problems. Zbl 1002.93060
Burger, Martin; Scherzer, Otmar
6
2001
Modelling multi-dimensional crystallization of polymers in interaction with heat transfer. Zbl 1205.82150
Burger, Martin; Capasso, Vincenzo; Salani, Claudia
6
2002
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
Mean-field optimal control and optimality conditions in the space of probability measures. Zbl 1460.49019
Burger, Martin; Pinnau, René; Totzeck, Claudia; Tse, Oliver
6
2021
Modelling of polymer crystallization in temperature fields. Zbl 1143.35342
Burger, M.; Capasso, V.; Eder, G.
5
2002
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals. Zbl 07365582
Bungert, Leon; Burger, Martin; Chambolle, Antonin; Novaga, Matteo
5
2021
Regularized data-driven construction of fuzzy controllers. Zbl 1022.65073
Burger, M.; Haslinger, J.; Bodenhofer, U.; Engl, H. W.
5
2002
Iterative total variation regularization with non-quadratic fidelity. Zbl 1478.94048
He, Lin; Burger, Martin; Osher, Stanley J.
5
2006
A level set based shape optimization method for an elliptic obstacle problem. Zbl 1217.35216
Burger, Martin; Matevosyan, Norayr; Wolfram, Marie-Therese
5
2011
Flow characteristics in a crowded transport model. Zbl 1349.35152
Burger, Martin; Pietschmann, Jan-Frederik
5
2016
Delayed blow-up for chemotaxis models with local sensing. Zbl 1470.35073
Burger, Martin; Laurençot, Philippe; Trescases, Ariane
7
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
6
2021
Nonlinear spectral decompositions by gradient flows of one-homogeneous functionals. Zbl 07365582
Bungert, Leon; Burger, Martin; Chambolle, Antonin; Novaga, Matteo
5
2021
Network structured kinetic models of social interactions. Zbl 1476.35272
Burger, Martin
3
2021
Sequentially optimized projections in x-ray imaging. Zbl 1467.62185
Burger, M.; Hauptmann, A.; Helin, T.; Hyvönen, N.; Puska, J-P
2
2021
Connections between deep learning and partial differential equations. Zbl 1479.35002
Burger, M.; E, W.; Ruthotto, L.; Osher, S. J.
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
8
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
8
2020
Segregation effects and gap formation in cross-diffusion models. Zbl 1445.35048
Burger, Martin; Carrillo, José A.; Pietschmann, Jan-Frederik; Schmidtchen, Markus
4
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
2
2020
Asymptotic profiles of nonlinear homogeneous evolution equations of gradient flow type. Zbl 1447.35203
Bungert, Leon; Burger, Martin
2
2020
On Fokker-Planck equations with in- and outflow of mass. Zbl 1437.35666
Burger, Martin; Humpert, Ina; Pietschmann, Jan-Frederik
2
2020
A PDE model for bleb formation and interaction with linker proteins. Zbl 1444.92032
Werner, Philipp; Burger, Martin; Pietschmann, Jan-Frederik
1
2020
Preface to special issue on joint reconstruction and multi-modality/multi-spectral imaging. Zbl 1429.00023
1
2020
An entropic Landweber method for linear ill-posed problems. Zbl 1461.65108
Burger, Martin; Resmerita, Elena; Benning, M.
1
2020
Structural analysis of an \(L\)-infinity variational problem and relations to distance functions. Zbl 1462.35226
Bungert, Leon; Korolev, Yury; Burger, Martin
1
2020
Convergence rates and structure of solutions of inverse problems with imperfect forward models. Zbl 1408.49033
Burger, Martin; Korolev, Yury; Rasch, Julian
7
2019
A mesoscopic model of biological transportation networks. Zbl 1433.35416
Burger, Martin; Haskovec, Jan; Markowich, Peter; Ranetbauer, Helene
7
2019
Solution paths of variational regularization methods for inverse problems. Zbl 1426.49038
Bungert, Leon; Burger, Martin
4
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
2
2019
Modern regularization methods for inverse problems. Zbl 1431.65080
Benning, Martin; Burger, Martin
36
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
21
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
16
2018
A variational model for joint motion estimation and image reconstruction. Zbl 1437.94009
Burger, Martin; Dirks, Hendrik; Schönlieb, Carola-Bibiane
13
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
8
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
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
6
2018
Large noise in variational regularization. Zbl 1404.49025
Burger, Martin; Helin, Tapio; Kekkonen, Hanne
4
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
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
12
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
11
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
11
2017
Bias reduction in variational regularization. Zbl 1385.49002
Brinkmann, Eva-Maria; Burger, Martin; Rasch, Julian; Sutour, Camille
9
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
Balanced growth path solutions of a Boltzmann mean field game model for knowledge growth. Zbl 1352.49005
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
7
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.
28
2016
Spectral decompositions using one-homogeneous functionals. Zbl 1361.35123
Burger, Martin; Gilboa, Guy; Moeller, Michael; Eckardt, Lina; Cremers, Daniel
26
2016
Lane formation by side-stepping. Zbl 1365.35081
Burger, Martin; Hittmeir, Sabine; Ranetbauer, Helene; Wolfram, Marie-Therese
16
2016
Nonlinear spectral analysis via one-homogeneous functionals: overview and future prospects. Zbl 1409.94182
Gilboa, Guy; Moeller, Michael; Burger, Martin
12
2016
On a Boltzmann mean field model for knowledge growth. Zbl 1347.49057
Burger, Martin; Lorz, Alexander; Wolfram, Marie-Therese
9
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
8
2016
Flow characteristics in a crowded transport model. Zbl 1349.35152
Burger, Martin; Pietschmann, Jan-Frederik
5
2016
Simultaneous reconstruction and segmentation for dynamic SPECT imaging. Zbl 1402.92266
Burger, Martin; Rossmanith, Carolin; Zhang, Xiaoqun
3
2016
Maximum a posteriori probability estimates in infinite-dimensional Bayesian inverse problems. Zbl 1325.62058
Helin, T.; Burger, M.
27
2015
Second-order edge-penalization in the Ambrosio-Tortorelli functional. Zbl 1332.49016
Burger, M.; Esposito, T.; Zeppieri, C. I.
8
2015
Locally sparse reconstruction using the \(\ell^{1,\infty}\)-norm. Zbl 1332.65062
Heins, Pia; Moeller, Michael; Burger, Martin
2
2015
Spectral representations of one-homogeneous functionals. Zbl 1444.94007
Burger, Martin; Eckardt, Lina; Gilboa, Guy; Moeller, Michael
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
1
2015
Iterative solution methods. 2nd edition. Zbl 1331.65080
Burger, Martin; Kaltenbacher, Barbara; Neubauer, Andreas
1
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
Mean field games with nonlinear mobilities in pedestrian dynamics. Zbl 1304.49008
Burger, Martin; Di Francesco, Marco; Markowich, Peter A.; Wolfram, Marie-Therese
37
2014
Stationary states and asymptotic behavior of aggregation models with nonlinear local repulsion. Zbl 1302.35386
Burger, Martin; Fetecau, Razvan; Huang, Yanghong
33
2014
Maximum a posteriori estimates in linear inverse problems with log-concave priors are proper Bayes estimators. Zbl 1302.62010
Burger, Martin; Lucka, Felix
18
2014
Partial differential equation models in the socio-economic sciences. Zbl 1353.00004
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.
11
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
8
2014
Color Bregman TV. Zbl 1361.94017
Moeller, Michael; Brinkmann, Eva-Maria; Burger, Martin; Seybold, Tamara
8
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
A hyperelastic regularization energy for image registration. Zbl 1318.92028
Burger, Martin; Modersitzki, Jan; Ruthotto, Lars
47
2013
Higher-order TV methods – enhancement via Bregman iteration. Zbl 1308.94012
Benning, Martin; Brune, Christoph; Burger, Martin; Müller, Jahn
41
2013
A guide to the TV zoo. Zbl 1342.94014
Burger, Martin; Osher, Stanley
31
2013
Ground states and singular vectors of convex variational regularization methods. Zbl 1294.49020
Benning, Martin; Burger, Martin
25
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
On a Boltzmann-type price formation model. Zbl 1372.91039
Burger, Martin; Caffarelli, Luis; Markowich, Peter A.; Wolfram, Marie-Therese
17
2013
A variational framework for region-based segmentation incorporating physical noise models. Zbl 1291.68402
Sawatzky, Alex; Tenbrinck, Daniel; Jiang, Xiaoyi; Burger, Martin
14
2013
An adaptive inverse scale space method for compressed sensing. Zbl 1260.49053
Burger, Martin; Möller, Michael; Benning, Martin; Osher, Stanley
14
2013
EM-TV methods for inverse problems with Poisson noise. Zbl 1342.94026
Sawatzky, Alex; Brune, Christoph; Kösters, Thomas; Wübbeling, Frank; Burger, Martin
13
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
3
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
29
2012
Regularized regression and density estimation based on optimal transport. Zbl 1318.62122
Burger, Martin; Franek, Marzena; Schönlieb, Carola-Bibiane
8
2012
The iteratively regularized Gauss-Newton method with convex constraints and applications in 4Pi microscopy. Zbl 1241.65054
Stück, Robert; Burger, Martin; Hohage, Thorsten
6
2012
A variational approach for sharpening high dimensional images. Zbl 1258.94018
Möller, Michael; Wittman, Todd; Bertozzi, Andrea L.; Burger, Martin
5
2012
A unified primal-dual algorithm framework based on Bregman iteration. Zbl 1227.65052
Zhang, Xiaoqun; Burger, Martin; Osher, Stanley
108
2011
Primal and dual Bregman methods with application to optical nanoscopy. Zbl 1235.94016
Brune, Christoph; Sawatzky, Alex; Burger, Martin
19
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
16
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
4
2011
Bregmanized nonlocal regularization for deconvolution and sparse reconstruction. Zbl 1191.94030
Zhang, Xiaoqun; Burger, Martin; Bresson, Xavier; Osher, Stanley
109
2010
Nonlinear cross-diffusion with size exclusion. Zbl 1227.35155
Burger, Martin; Di Francesco, Marco; Pietschmann, Jan-Frederik; Schlake, Bärbel
47
2010
A mixed finite element method for nonlinear diffusion equations. Zbl 1194.35026
Burger, Martin; Carrillo, José A.; Wolfram, Marie-Therese
24
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
57
2009
Iterative total variation schemes for nonlinear inverse problems. Zbl 1188.49028
Bachmayr, Markus; Burger, Martin
26
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
47
2008
Asymptotic analysis of an advection-dominated chemotaxis model in multiple spatial dimensions. Zbl 1165.35471
Burger, Martin; Dolak-Struss, Yasmin; Schmeiser, Christian
20
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
...and 51 more Documents
all top 5

Cited by 2,761 Authors

68 Burger, Martin
33 Carrillo de la Plata, José Antonio
30 Osher, Stanley Joel
29 Schönlieb, Carola-Bibiane
18 Yuan, Xiaoming
17 Jüngel, Ansgar
17 Tai, Xuecheng
17 Wolfram, Marie-Therese
16 Hofmann, Bernd
16 Zhang, Xiaoqun
15 Capasso, Vincenzo
15 Gilboa, Guy
15 Novotny, Antonio André
15 Wang, Michael Yu
14 Shen, Zuowei
13 Chen, Ke
13 Hintermüller, Michael
12 Bredies, Kristian
12 Dapogny, Charles
12 Huang, Ting-Zhu
12 Scherzer, Otmar
11 Allaire, Grégoire
11 Bellomo, Nicola
11 Han, Bo
11 Kindermann, Stefan
11 Pietschmann, Jan-Frederik
11 Steidl, Gabriele
11 Zeng, Tie Yong
10 Dong, Bin
10 Fagioli, Simone
10 Kaltenbacher, Barbara
10 Leitão, Antonio
10 Liu, Jun
10 Möller, Michael
10 Wu, Boying
10 Yin, Wotao
9 Amstutz, Samuel
9 Bertozzi, Andrea Louise
9 Di Francesco, Marco
9 Ehrhardt, Matthias Joachim
9 Fetecau, Razvan C.
9 Hohage, Thorsten
9 Kovtunenko, Viktor Anatolievich
9 Luo, Zhen
9 Pinnau, René
9 Zhang, Mingji
9 Zhu, Shengfeng
8 Benning, Martin
8 He, Bingsheng
8 Herty, Michael Matthias
8 Laurent, Thomas
8 Stuart, Andrew M.
8 Valkonen, Tuomo
8 Wei, Guowei
7 Albi, Giacomo
7 Arridge, Simon R.
7 De Cezaro, Adriano
7 Dorn, Oliver
7 Düring, Bertram
7 Fuchs, Martin
7 Garcke, Harald
7 Lu, Shuai
7 Lv, Xiaoguang
7 Ma, Feng
7 Ma, Shiqian
7 Nishiwaki, Shinji
7 Öktem, Ozan
7 Park, Won-Kwang
7 Ramlau, Ronny
7 Resmerita, Elena
7 Theljani, Anis
7 Tong, Liyong
7 Zhang, Daoping
7 Zheng, Jiashan
6 Bildhauer, Michael
6 Bruna, Maria
6 Calatroni, Luca
6 Chan, Tony Fan-Cheong
6 Chen, Chong
6 Dong, Yiqiu
6 Fakih, Hussein
6 Haltmeier, Markus
6 Helin, Tapio
6 Ji, Hui
6 Jia, Junxiong
6 Jin, Qinian
6 Liu, Hailiang
6 Liu, Weishi
6 Mang, Andreas
6 Markowich, Peter Alexander
6 Pang, Zhifeng
6 Papadakis, Nicolas
6 Peng, Jigen
6 Peyré, Gabriel
6 Schmidtchen, Markus
6 Shi, Tielin
6 Shi, Yuying
6 Slepčev, Dejan
6 Totzeck, Claudia
6 Xia, Qi
...and 2,661 more Authors
all top 5

Cited in 291 Serials

101 Inverse Problems
90 Journal of Computational Physics
86 SIAM Journal on Imaging Sciences
67 Journal of Mathematical Imaging and Vision
56 Journal of Scientific Computing
56 Inverse Problems and Imaging
52 Computer Methods in Applied Mechanics and Engineering
48 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
32 Computers & Mathematics with Applications
28 Journal of Inverse and Ill-Posed Problems
25 Applied Mathematics and Computation
25 Journal of Computational and Applied Mathematics
24 Structural and Multidisciplinary Optimization
23 Journal of Differential Equations
23 Inverse Problems in Science and Engineering
22 Applicable Analysis
22 Numerische Mathematik
22 SIAM Journal on Scientific Computing
21 Mathematics of Computation
20 SIAM Journal on Mathematical Analysis
20 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
19 SIAM Journal on Applied Mathematics
19 Computational Optimization and Applications
19 Mathematical Problems in Engineering
17 SIAM Journal on Numerical Analysis
15 Journal of Mathematical Analysis and Applications
15 International Journal for Numerical Methods in Engineering
15 Journal of Optimization Theory and Applications
15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
15 SIAM Journal on Optimization
15 Applied and Computational Harmonic Analysis
14 Journal of Mathematical Biology
14 Mathematical Methods in the Applied Sciences
13 Applied Numerical Mathematics
13 Discrete and Continuous Dynamical Systems. Series B
13 Kinetic and Related Models
12 Numerical Functional Analysis and Optimization
12 Numerical Algorithms
11 International Journal of Computer Vision
11 Foundations of Computational Mathematics
10 SIAM Journal on Control and Optimization
10 Journal of Nonlinear Science
10 Advances in Computational Mathematics
9 Applied Mathematical Modelling
9 Computational and Applied Mathematics
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Applied Mathematics and Optimization
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 Optimization Methods & Software
8 Nonlinear Analysis. Real World Applications
7 Archive for Rational Mechanics and Analysis
7 Computational Mechanics
7 Communications in Partial Differential Equations
7 Vietnam Journal of Mathematics
7 Journal of Evolution Equations
7 SIAM Journal on Applied Dynamical Systems
7 Multiscale Modeling & Simulation
6 Journal of Statistical Physics
6 Information Sciences
6 Journal of Approximation Theory
6 ETNA. Electronic Transactions on Numerical Analysis
6 Engineering Analysis with Boundary Elements
6 International Journal of Computational Methods
6 Communications in Computational Physics
6 GEM - International Journal on Geomathematics
6 SIAM/ASA Journal on Uncertainty Quantification
5 Communications in Mathematical Physics
5 BIT
5 Acta Applicandae Mathematicae
5 Mathematical and Computer Modelling
5 Calculus of Variations and Partial Differential Equations
5 Journal of Inequalities and Applications
5 Interfaces and Free Boundaries
5 Computational & Mathematical Methods in Medicine
5 Networks and Heterogeneous Media
5 Journal of Theoretical Biology
5 Journal of the Operations Research Society of China
4 Journal of Functional Analysis
4 Numerical Methods for Partial Differential Equations
4 Applied Mathematics Letters
4 Multidimensional Systems and Signal Processing
4 Journal de Mathématiques Pures et Appliquées. Neuvième Série
4 Computing and Visualization in Science
4 Acta Mathematica Sinica. English Series
4 Communications in Nonlinear Science and Numerical Simulation
4 Optimization and Engineering
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 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
4 SMAI Journal of Computational Mathematics
3 Journal of the Mechanics and Physics of Solids
3 Nonlinearity
3 Bulletin of Mathematical Biology
3 Chinese Annals of Mathematics. Series B
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
...and 191 more Serials
all top 5

Cited in 46 Fields

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

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.