Edit Profile (opens in new tab) Laurain, Antoine Co-Author Distance Author ID: laurain.antoine Published as: Laurain, Antoine; Laurain, A. Documents Indexed: 41 Publications since 2007, including 1 Additional arXiv Preprint Co-Authors: 42 Co-Authors with 36 Joint Publications 1,068 Co-Co-Authors all top 5 Co-Authors 5 single-authored 10 Hintermüller, Michael 5 Sokołowski, Jan 4 Birgin, Ernesto G. 3 Fulmanski, Piotr 3 Novotny, Antonio André 3 Scheid, Jean-François 3 Sturm, Kevin 3 Yousept, Irwin 2 Albuquerque, Yuri Flores 2 Canelas, Alfredo 2 Massambone, Rafael 2 Meftahi, Houcine 2 Privat, Yannick 2 Santana, Arthur G. 2 Walker, Shawn W. 1 Amstutz, Samuel 1 Conca, Carlos 1 Fremiot, Gilles 1 Gangl, Peter 1 Haeser, Gabriel 1 Horn, Werner 1 Kao, Chiu-Yen 1 Kasumba, Henry 1 Keeling, Stephen L. 1 Knoll, Florian 1 Kraft, Daniel 1 Kunisch, Karl 1 Lamboley, Jimmy 1 Langer, Ulrich 1 Löbhard, Caroline 1 Lopes, Pedro T. P. 1 Mahadevan, Rajesh 1 Menezes, Tiago C. 1 Nadin, Grégoire 1 Nakasato, Jean Carlos 1 Nazarov, Sergeĭ Aleksandrovich 1 Rao, Murali 1 Rautenberg, Carlos N. 1 Scharfetter, Hermann 1 Surowiec, Thomas 1 Szulc, Katarzyna 1 Winckler, Malte all top 5 Serials 4 Inverse Problems 3 SIAM Journal on Control and Optimization 3 SIAM Journal on Scientific Computing 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Computational Physics 2 SIAM Journal on Applied Mathematics 2 Computational Optimization and Applications 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Control and Cybernetics 1 Dissertationes Mathematicae 1 SIAM Journal on Numerical Analysis 1 Zeitschrift für Analysis und ihre Anwendungen 1 The Journal of Geometric Analysis 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Journal of Mathematical Imaging and Vision 1 Calculus of Variations and Partial Differential Equations 1 Journal of Inverse and Ill-Posed Problems 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Interfaces and Free Boundaries 1 International Journal of Applied Mathematics and Computer Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis all top 5 Fields 32 Calculus of variations and optimal control; optimization (49-XX) 22 Partial differential equations (35-XX) 13 Numerical analysis (65-XX) 4 Operator theory (47-XX) 3 Mechanics of deformable solids (74-XX) 2 Computer science (68-XX) 2 Optics, electromagnetic theory (78-XX) 2 Operations research, mathematical programming (90-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 2 Information and communication theory, circuits (94-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 35 Publications have been cited 509 times in 308 Documents Cited by ▼ Year ▼ Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070 Laurain, Antoine; Sturm, Kevin 67 2016 Shape optimization of an electric motor subject to nonlinear magnetostatics. Zbl 1330.49042 Gangl, P.; Langer, U.; Laurain, A.; Meftahi, H.; Sturm, K. 37 2015 Optimal shape design subject to elliptic variational inequalities. Zbl 1228.49045 Hintermüller, M.; Laurain, A. 32 2011 Electrical impedance tomography: from topology to shape. Zbl 1194.49062 Hintermüller, Michael; Laurain, Antoine 32 2008 Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. Zbl 1366.49004 Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick 32 2016 Second-order topological expansion for electrical impedance tomography. Zbl 1243.49049 Hintermüller, M.; Laurain, A.; Novotny, A. A. 27 2012 Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model. Zbl 1335.35297 Hintermüller, Michael; Laurain, Antoine; Yousept, Irwin 23 2015 A new reconstruction method for the inverse source problem from partial boundary measurements. Zbl 1319.35296 Canelas, Alfredo; Laurain, Antoine; Novotny, Antonio A. 23 2015 A level set method in shape and topology optimization for variational inequalities. Zbl 1237.49058 Fulmański, Piotr; Laurain, Antoine; Scheid, Jean-Francois; Sokołowski, Jan 21 2007 Minimization of the ground state for two phase conductors in low contrast regime. Zbl 1321.49078 Conca, Carlos; Laurain, Antoine; Mahadevan, Rajesh 21 2012 Multiphase image segmentation and modulation recovery based on shape and topological sensitivity. Zbl 1490.68282 Hintermüller, M.; Laurain, A. 21 2009 Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions. Zbl 1242.49094 Hintermüller, M.; Kao, C.-Y.; Laurain, A. 20 2012 A new reconstruction method for the inverse potential problem. Zbl 1349.35425 Canelas, Alfredo; Laurain, Antoine; Novotny, Antonio A. 20 2014 On the analysis of boundary value problems in nonsmooth domains. Zbl 1172.35407 Frémiot, Gilles; Horn, Werner; Laurain, Antoine; Rao, Murali; Sokołowski, Jan 18 2009 Global minimizer of the ground state for two phase conductors in low contrast regime. Zbl 1287.49047 Laurain, Antoine 18 2014 Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains. Zbl 1431.49050 Laurain, Antoine 16 2020 Level set method with topological derivatives in shape optimization. Zbl 1155.65055 Fulmanski, Piotr; Laurain, Antoine; Scheid, Jean-François; Sokołowski, Jan 14 2008 Topological sensitivity analysis in fluorescence optical tomography. Zbl 1334.49138 Laurain, A.; Hintermüller, M.; Freiberger, M.; Scharfetter, H. 9 2013 Droplet footprint control. Zbl 1319.35310 Laurain, Antoine; Walker, Shawn W. 7 2015 Singular perturbations of curved boundaries in three dimensions. The spectrum of the Neumann Laplacian. Zbl 1228.35022 Laurain, Antoine; Nazarov, Serguey; Sokolowski, Jan 6 2011 A shape and topology optimization technique for solving a class of linear complementarity problems in function space. Zbl 1230.90187 Hintermüller, M.; Laurain, A. 6 2010 A shape optimization approach for electrical impedance tomography with point measurements. Zbl 1453.78005 Albuquerque, Yuri Flores; Laurain, Antoine; Sturm, Kevin 5 2020 A shape optimization approach to the problem of covering a two-dimensional region with minimum-radius identical balls. Zbl 1467.49030 Birgin, E. G.; Laurain, A.; Massambone, R.; Santana, A. G. 5 2021 On a Bernoulli problem with geometric constraints. Zbl 1337.49004 Laurain, Antoine; Privat, Yannick 4 2012 Analyzing smooth and singular domain perturbations in level set methods. Zbl 1396.49042 Laurain, Antoine 4 2018 Shape and parameter reconstruction for the Robin transmission inverse problem. Zbl 1354.49078 Laurain, Antoine; Meftahi, Houcine 3 2016 Elliptic mathematical programs with equilibrium constraints in function space: optimality conditions and numerical realization. Zbl 1327.49037 Hintermüller, Michael; Laurain, Antoine; Löbhard, Caroline; Rautenberg, Carlos N.; Surowiec, Thomas M. 3 2014 A total variation based approach to correcting surface coil magnetic resonance images. Zbl 1223.92028 Keeling, Stephen L.; Hintermüller, Michael; Knoll, Florian; Kraft, Daniel; Laurain, Antoine 2 2011 A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem. Zbl 1335.35309 Kasumba, Henry; Kunisch, Karl; Laurain, Antoine 2 2014 A shape-Newton approach to the problem of covering with identical balls. Zbl 1486.49054 Birgin, Ernesto G.; Laurain, Antoine; Massambone, Rafael; Santana, Arthur G. 2 2022 A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints. Zbl 1312.49031 Amstutz, Samuel; Laurain, Antoine 2 2013 Level set-based shape optimization approach for sharp-interface reconstructions in time-domain full waveform inversion. Zbl 1468.35223 Albuquerque, Yuri F.; Laurain, Antoine; Yousept, Irwin 2 2021 Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities. Zbl 1467.35168 Laurain, Antoine; Winckler, Malte; Yousept, Irwin 2 2021 Optimal control of volume-preserving mean curvature flow. Zbl 07505967 Laurain, Antoine; Walker, Shawn W. 2 2021 Level set method in shape optimization. (Une méthode levelset en optimisation de formes.) Zbl 1155.74034 Fulmanski, Piotr; Laurain, Antoine; Scheid, Jean-Francois; Sokołowski, Jan 1 2008 A shape-Newton approach to the problem of covering with identical balls. Zbl 1486.49054 Birgin, Ernesto G.; Laurain, Antoine; Massambone, Rafael; Santana, Arthur G. 2 2022 A shape optimization approach to the problem of covering a two-dimensional region with minimum-radius identical balls. Zbl 1467.49030 Birgin, E. G.; Laurain, A.; Massambone, R.; Santana, A. G. 5 2021 Level set-based shape optimization approach for sharp-interface reconstructions in time-domain full waveform inversion. Zbl 1468.35223 Albuquerque, Yuri F.; Laurain, Antoine; Yousept, Irwin 2 2021 Shape optimization for superconductors governed by H(curl)-elliptic variational inequalities. Zbl 1467.35168 Laurain, Antoine; Winckler, Malte; Yousept, Irwin 2 2021 Optimal control of volume-preserving mean curvature flow. Zbl 07505967 Laurain, Antoine; Walker, Shawn W. 2 2021 Distributed and boundary expressions of first and second order shape derivatives in nonsmooth domains. Zbl 1431.49050 Laurain, Antoine 16 2020 A shape optimization approach for electrical impedance tomography with point measurements. Zbl 1453.78005 Albuquerque, Yuri Flores; Laurain, Antoine; Sturm, Kevin 5 2020 Analyzing smooth and singular domain perturbations in level set methods. Zbl 1396.49042 Laurain, Antoine 4 2018 Distributed shape derivative via averaged adjoint method and applications. Zbl 1347.49070 Laurain, Antoine; Sturm, Kevin 67 2016 Properties of optimizers of the principal eigenvalue with indefinite weight and Robin conditions. Zbl 1366.49004 Lamboley, Jimmy; Laurain, Antoine; Nadin, Grégoire; Privat, Yannick 32 2016 Shape and parameter reconstruction for the Robin transmission inverse problem. Zbl 1354.49078 Laurain, Antoine; Meftahi, Houcine 3 2016 Shape optimization of an electric motor subject to nonlinear magnetostatics. Zbl 1330.49042 Gangl, P.; Langer, U.; Laurain, A.; Meftahi, H.; Sturm, K. 37 2015 Shape sensitivities for an inverse problem in magnetic induction tomography based on the eddy current model. Zbl 1335.35297 Hintermüller, Michael; Laurain, Antoine; Yousept, Irwin 23 2015 A new reconstruction method for the inverse source problem from partial boundary measurements. Zbl 1319.35296 Canelas, Alfredo; Laurain, Antoine; Novotny, Antonio A. 23 2015 Droplet footprint control. Zbl 1319.35310 Laurain, Antoine; Walker, Shawn W. 7 2015 A new reconstruction method for the inverse potential problem. Zbl 1349.35425 Canelas, Alfredo; Laurain, Antoine; Novotny, Antonio A. 20 2014 Global minimizer of the ground state for two phase conductors in low contrast regime. Zbl 1287.49047 Laurain, Antoine 18 2014 Elliptic mathematical programs with equilibrium constraints in function space: optimality conditions and numerical realization. Zbl 1327.49037 Hintermüller, Michael; Laurain, Antoine; Löbhard, Caroline; Rautenberg, Carlos N.; Surowiec, Thomas M. 3 2014 A bilevel shape optimization problem for the exterior Bernoulli free boundary value problem. Zbl 1335.35309 Kasumba, Henry; Kunisch, Karl; Laurain, Antoine 2 2014 Topological sensitivity analysis in fluorescence optical tomography. Zbl 1334.49138 Laurain, A.; Hintermüller, M.; Freiberger, M.; Scharfetter, H. 9 2013 A semismooth Newton method for a class of semilinear optimal control problems with box and volume constraints. Zbl 1312.49031 Amstutz, Samuel; Laurain, Antoine 2 2013 Second-order topological expansion for electrical impedance tomography. Zbl 1243.49049 Hintermüller, M.; Laurain, A.; Novotny, A. A. 27 2012 Minimization of the ground state for two phase conductors in low contrast regime. Zbl 1321.49078 Conca, Carlos; Laurain, Antoine; Mahadevan, Rajesh 21 2012 Principal eigenvalue minimization for an elliptic problem with indefinite weight and Robin boundary conditions. Zbl 1242.49094 Hintermüller, M.; Kao, C.-Y.; Laurain, A. 20 2012 On a Bernoulli problem with geometric constraints. Zbl 1337.49004 Laurain, Antoine; Privat, Yannick 4 2012 Optimal shape design subject to elliptic variational inequalities. Zbl 1228.49045 Hintermüller, M.; Laurain, A. 32 2011 Singular perturbations of curved boundaries in three dimensions. The spectrum of the Neumann Laplacian. Zbl 1228.35022 Laurain, Antoine; Nazarov, Serguey; Sokolowski, Jan 6 2011 A total variation based approach to correcting surface coil magnetic resonance images. Zbl 1223.92028 Keeling, Stephen L.; Hintermüller, Michael; Knoll, Florian; Kraft, Daniel; Laurain, Antoine 2 2011 A shape and topology optimization technique for solving a class of linear complementarity problems in function space. Zbl 1230.90187 Hintermüller, M.; Laurain, A. 6 2010 Multiphase image segmentation and modulation recovery based on shape and topological sensitivity. Zbl 1490.68282 Hintermüller, M.; Laurain, A. 21 2009 On the analysis of boundary value problems in nonsmooth domains. Zbl 1172.35407 Frémiot, Gilles; Horn, Werner; Laurain, Antoine; Rao, Murali; Sokołowski, Jan 18 2009 Electrical impedance tomography: from topology to shape. Zbl 1194.49062 Hintermüller, Michael; Laurain, Antoine 32 2008 Level set method with topological derivatives in shape optimization. Zbl 1155.65055 Fulmanski, Piotr; Laurain, Antoine; Scheid, Jean-François; Sokołowski, Jan 14 2008 Level set method in shape optimization. (Une méthode levelset en optimisation de formes.) Zbl 1155.74034 Fulmanski, Piotr; Laurain, Antoine; Scheid, Jean-Francois; Sokołowski, Jan 1 2008 A level set method in shape and topology optimization for variational inequalities. Zbl 1237.49058 Fulmański, Piotr; Laurain, Antoine; Scheid, Jean-Francois; Sokołowski, Jan 21 2007 all cited Publications top 5 cited Publications all top 5 Cited by 434 Authors 24 Novotny, Antonio André 22 Laurain, Antoine 21 Zhu, Shengfeng 16 Sokołowski, Jan 14 Sturm, Kevin 11 Mazari-Fouquer, Idriss 10 Hrizi, Mourad 10 Kao, Chiu-Yen 9 Kovtunenko, Viktor Anatolievich 9 Welker, Kathrin 8 Leugering, Günter 8 Yousept, Irwin 7 Gangl, Peter 7 Mohammadi, Seyyed Abbas 7 Siebenborn, Martin 7 Zochowski, Antoni 6 Amstutz, Samuel 6 Casado-Díaz, Juan 6 Kunisch, Karl 6 Li, Jiajie 6 Pinnau, René 6 Privat, Yannick 5 Giusti, Sebastián M. 5 Hassine, Maatoug 5 Hintermüller, Michael 5 Leithäuser, Christian 5 Liu, Chunxiao 5 Nadin, Grégoire 5 Pellacci, Benedetta 5 Schulz, Volker H. 5 Verzini, Gianmaria 4 Birgin, Ernesto G. 4 Blauth, Sebastian 4 Conca, Carlos 4 Khludnev, Aleksandr Mikhaĭlovich 4 Lazarev, Nyurgun Petrovich 4 Mazzoleni, Dario 4 Prakash, Ravi 4 Rabago, Julius Fergy Tiongson 4 Rapún, María-Luisa 4 Wu, Qingbiao 3 Beretta, Elena 3 Canelas, Alfredo 3 Carpio, Ana 3 Caubet, Fabien 3 Fumagalli, Ivan 3 Griesmaier, Roland 3 Lesnic, Daniel 3 Meftahi, Houcine 3 Osting, Braxton 3 Parolini, Nicola 3 Ruiz-Balet, Domènec 3 Vásquez-Varas, Donato 3 Verani, Marco 3 Yan, Wenjing 2 Albuquerque, Yuri Flores 2 Amad, Alan A. S. 2 Bonnet, Marc 2 Bouchitté, Guy 2 Burman, Erik 2 Cakoni, Fioralba 2 Chaudet-Dumas, Bastien 2 Dambrine, Marc 2 Deteix, Jean 2 Dietrich, Nicolas 2 Djafari Rouhani, Behzad 2 Etling, Tommy 2 Fan, Wei 2 Fernandez, Lucas dos Santos 2 Fragalà, Ilaria 2 Francini, Elisa 2 Fulmanski, Piotr 2 Gao, Zhiming 2 Hensel, Maurice 2 Herzog, Roland 2 Hou, Jiangyong 2 Hu, Xianliang 2 Hu, Xindi 2 Jing, Feifei 2 Kang, Di 2 Keeling, Stephen L. 2 Larson, Mats G. 2 Li, Yingyuan 2 Lucardesi, Ilaria 2 Machado, Thiago José 2 Magnot, Jean-Pierre 2 Mahadevan, Rajesh 2 Malek, Rakia 2 Marx, Thomas 2 Massambone, Rafael 2 Mendoza, Renier G. 2 Myśliński, Andrzej 2 Nair, Prasanth B. 2 Nazarov, Sergeĭ Aleksandrovich 2 Nguyen, Tung Dong Cao 2 Nikolić, Vanja 2 Paganini, Alberto 2 Park, Won-Kwang 2 Rocha de Faria, Jairo 2 Rudoy, Evgeny Mikhailovich ...and 334 more Authors all top 5 Cited in 110 Serials 17 SIAM Journal on Control and Optimization 14 Inverse Problems 13 Journal of Computational Physics 12 SIAM Journal on Scientific Computing 11 Computer Methods in Applied Mechanics and Engineering 10 Journal of Optimization Theory and Applications 9 Journal of Scientific Computing 8 SIAM Journal on Mathematical Analysis 7 Applied Mathematics and Optimization 7 SIAM Journal on Applied Mathematics 6 SIAM Journal on Optimization 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Journal of Mathematical Biology 5 Mathematical Methods in the Applied Sciences 5 SIAM Journal on Numerical Analysis 5 Applied Mathematical Modelling 5 Inverse Problems in Science and Engineering 4 Nonlinearity 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Journal of Mathematical Imaging and Vision 4 Computational Optimization and Applications 4 Journal of Inverse and Ill-Posed Problems 4 Optimization and Engineering 4 SIAM Journal on Imaging Sciences 3 Journal of Mathematical Analysis and Applications 3 Journal of Computational and Applied Mathematics 3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Optimization Methods & Software 2 Applicable Analysis 2 Archive for Rational Mechanics and Analysis 2 Computers and Fluids 2 Computers & Mathematics with Applications 2 International Journal for Numerical Methods in Engineering 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Journal of Computational Mathematics 2 Applied Numerical Mathematics 2 The Journal of Geometric Analysis 2 Applications of Mathematics 2 International Journal of Computer Mathematics 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 International Journal of Applied Mathematics and Computer Science 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Inverse Problems and Imaging 1 Journal of the Mechanics and Physics of Solids 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 BIT 1 Calcolo 1 Numerical Functional Analysis and Optimization 1 Numerische Mathematik 1 Optimization 1 Computational Mechanics 1 Numerical Methods for Partial Differential Equations 1 Applied Mathematics Letters 1 Asymptotic Analysis 1 Japan Journal of Industrial and Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Communications in Partial Differential Equations 1 Journal of Elasticity 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Mathematical Programming. Series A. Series B 1 Journal of Mathematical Sciences (New York) 1 St. Petersburg Mathematical Journal 1 Filomat 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Opuscula Mathematica 1 Engineering Analysis with Boundary Elements 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 Journal of Applied Mechanics and Technical Physics 1 Interfaces and Free Boundaries 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Methods in Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Communications on Pure and Applied Analysis 1 Multiscale Modeling & Simulation 1 Structural and Multidisciplinary Optimization 1 Acta Numerica 1 Boundary Value Problems 1 Acta Mechanica Sinica 1 Asian-European Journal of Mathematics 1 Advances in Mathematical Physics 1 Set-Valued and Variational Analysis 1 Journal of Spectral Theory 1 Eurasian Mathematical Journal 1 Mathematical Control and Related Fields 1 Izvestiya Irkutskogo Gosudarstvennogo Universiteta. Seriya Matematika 1 Izvestiya Instituta Matematiki i Informatiki. Udmurtskiĭ Gosudarstvennyĭ Universitet ...and 10 more Serials all top 5 Cited in 36 Fields 180 Calculus of variations and optimal control; optimization (49-XX) 174 Partial differential equations (35-XX) 120 Numerical analysis (65-XX) 57 Mechanics of deformable solids (74-XX) 33 Biology and other natural sciences (92-XX) 28 Fluid mechanics (76-XX) 24 Optics, electromagnetic theory (78-XX) 16 Operations research, mathematical programming (90-XX) 14 Operator theory (47-XX) 14 Classical thermodynamics, heat transfer (80-XX) 9 Systems theory; control (93-XX) 9 Information and communication theory, circuits (94-XX) 7 Potential theory (31-XX) 6 Ordinary differential equations (34-XX) 5 Geophysics (86-XX) 4 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 4 Computer science (68-XX) 3 Approximations and expansions (41-XX) 3 Integral equations (45-XX) 3 Statistics (62-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) Citations by Year