Compute Distance To:
 Documents Indexed: 38 Publications since 2003 1 Contribution as Editor Co-Authors: 49 Co-Authors with 34 Joint Publications 1,230 Co-Co-Authors
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### Co-Authors

 4 single-authored 15 Ghattas, Omar N. 6 Alexanderian, Alen 6 Petra, Noemi 3 Bui-Thanh, Tan 3 Herzog, Roland 3 Wilcox, Lucas C. 2 Burstedde, Carsten 2 Crestel, Benjamin 2 Hintermüller, Michael 2 Isaac, Tobin 2 Kugi, Andreas 2 Wachsmuth, Gerd 1 Ambartsumyan, Ilona 1 Baumgart, Michael 1 Biros, George 1 Boukaram, Wajih-Halim 1 Carpio, Ana 1 Cerfon, Antoine J. 1 Daon, Yair 1 de Figueiredo, Isabel Maria Narra 1 De los Reyes, Juan Carlos 1 Deutschmann-Olek, Andreas 1 Ettl, A. 1 Giuliani, Andrew 1 Heinkenschloss, Matthias 1 Hüeber, Stefan 1 Iakunin, Sergei 1 Kalise, Dante 1 Keeling, Stephen L. 1 Keyes, David Elliot 1 Koval, Karina 1 Kunisch, Karl 1 Landreman, Matt 1 Moser, Robert D. 1 Propst, Georg 1 Rudi, Johann 1 Steinboeck, Andreas 1 Sundar, Hari 1 Sunseri, Isaac 1 Tong, Shanyin 1 Trélat, Emmanuel 1 Tu, Tiankai 1 Turkiyyah, George M. 1 Vanden-Eijnden, Eric 1 Wackernagel, Werner 1 Wechsung, Florian 1 Wohlmuth, Barbara I. 1 Yang, Shan 1 Zampini, Stefano
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### Serials

 9 SIAM Journal on Scientific Computing 4 Inverse Problems 3 Journal of Computational Physics 3 SIAM Journal on Control and Optimization 2 SIAM/ASA Journal on Uncertainty Quantification 1 Computer Methods in Applied Mechanics and Engineering 1 IEEE Transactions on Automatic Control 1 Journal of Computational and Applied Mathematics 1 Journal of Scientific Computing 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 SIAM Journal on Optimization 1 Computational Optimization and Applications 1 Numerical Linear Algebra with Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Mathematical and Computer Modelling of Dynamical Systems 1 Interfaces and Free Boundaries 1 Mathematical Medicine and Biology 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Communications in Applied Mathematics and Computational Science 1 Inverse Problems and Imaging 1 Radon Series on Computational and Applied Mathematics
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### Fields

 26 Numerical analysis (65-XX) 18 Partial differential equations (35-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 9 Statistics (62-XX) 8 Fluid mechanics (76-XX) 7 Mechanics of deformable solids (74-XX) 4 Systems theory; control (93-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Geophysics (86-XX) 2 Operations research, mathematical programming (90-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX)

### Citations contained in zbMATH Open

34 Publications have been cited 758 times in 545 Documents Cited by Year
Elliptic optimal control problems with $$L^1$$-control cost and applications for the placement of control devices. Zbl 1185.49031
2009
A computational framework for infinite-dimensional Bayesian inverse problems. I: The linearized case, with application to global seismic inversion. Zbl 1287.35087
Bui-Thanh, Tan; Ghattas, Omar; Martin, James; Stadler, Georg
2013
A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media. Zbl 1427.74071
Wilcox, Lucas C.; Stadler, Georg; Burstedde, Carsten; Ghattas, Omar
2010
A primal-dual active set algorithm for three-dimensional contact problems with Coulomb friction. Zbl 1158.74045
Hüeber, S.; Stadler, G.; Wohlmuth, B. I.
2008
A computational framework for infinite-dimensional Bayesian inverse problems. II: stochastic Newton MCMC with application to ice sheet flow inverse problems. Zbl 1303.35110
Petra, Noemi; Martin, James; Stadler, Georg; Ghattas, Omar
2014
An infeasible primal-dual algorithm for total bounded variation–based Inf-convolution-type image restoration. Zbl 1136.94302
Hintermüller, M.; Stadler, G.
2006
Directional sparsity in optimal control of partial differential equations. Zbl 1244.49038
Herzog, Roland; Stadler, Georg; Wachsmuth, Gerd
2012
A-optimal design of experiments for infinite-dimensional Bayesian linear inverse problems with regularized $$\ell_0$$-sparsification. Zbl 1314.62163
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
2014
A fast and scalable method for A-optimal design of experiments for infinite-dimensional Bayesian nonlinear inverse problems. Zbl 06536072
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
2016
Scalable and efficient algorithms for the propagation of uncertainty from data through inference to prediction for large-scale problems, with application to flow of the antarctic ice sheet. Zbl 1352.86017
Isaac, Tobin; Petra, Noemi; Stadler, Georg; Ghattas, Omar
2015
Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations. Zbl 1391.93289
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
2017
Path-following and augmented Lagrangian methods for contact problems in linear elasticity. Zbl 1119.49028
2007
Generalized Newton methods for the 2D-Signorini contact problem with friction in function space. Zbl 1330.74132
Kunisch, Karl; Stadler, Georg
2005
Mitigating the influence of the boundary on PDE-based covariance operators. Zbl 1401.65043
Daon, Yair; Stadler, Georg
2018
Parallel scalable adjoint-based adaptive solution of variable-viscosity Stokes flow problems. Zbl 1227.76027
Burstedde, Carsten; Ghattas, Omar; Stadler, Georg; Tu, Tiankai; Wilcox, Lucas C.
2009
Semismooth Newton and augmented Lagrangian methods for a simplified friction problem. Zbl 1106.90078
2004
Comparison of multigrid algorithms for high-order continuous finite element discretizations. Zbl 1349.65680
Sundar, Hari; Stadler, Georg; Biros, George
2015
Solution of nonlinear Stokes equations discretized by high-order finite elements on nonconforming and anisotropic meshes, with application to ice sheet dynamics. Zbl 1327.65242
Isaac, Tobin; Stadler, Georg; Ghattas, Omar
2015
Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method. Zbl 1319.65051
Wilcox, Lucas C.; Stadler, Georg; Bui-Thanh, Tan; Ghattas, Omar
2015
A-optimal encoding weights for nonlinear inverse problems, with application to the Helmholtz inverse problem. Zbl 1370.65064
Crestel, Benjamin; Alexanderian, Alen; Stadler, Georg; Ghattas, Omar
2017
Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs. Zbl 1443.62213
Koval, Karina; Alexanderian, Alen; Stadler, Georg
2020
A comparative study of structural similarity and regularization for joint inverse problems governed by PDEs. Zbl 1412.65197
Crestel, Benjamin; Stadler, Georg; Ghattas, Omar
2019
Weighted BFBT preconditioner for Stokes flow problems with highly heterogeneous viscosity. Zbl 1392.65039
Rudi, Johann; Stadler, Georg; Ghattas, Omar
2017
A semi-smooth Newton method for constrained linear-quadratic control problems. Zbl 1015.49025
Hintermüller, Michael; Stadler, Georg
2003
Frictional contact of an anisotropic piezoelectric plate. Zbl 1155.74031
Figueiredo, Isabel N.; Stadler, Georg
2009
Erratum: “Directional sparsity in optimal control of partial differential equations”. Zbl 1322.49039
Herzog, Roland; Stadler, Georg; Wachsmuth, Gerd
2015
Sparse solutions in optimal control of PDEs with uncertain parameters: the linear case. Zbl 1418.60099
Li, Chen; Stadler, Georg
2019
Optimal design of large-scale Bayesian linear inverse problems under reducible model uncertainty: good to know what you don’t know. Zbl 1460.62120
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Sunseri, Isaac
2021
A shape Hessian-based boundary roughness analysis of Navier-Stokes flow. Zbl 1215.35122
Yang, Shan; Stadler, Georg; Moser, Robert; Ghattas, Omar
2011
Hierarchical matrix approximations of Hessians arising in inverse problems governed by PDEs. Zbl 1453.65289
Ambartsumyan, Ilona; Boukaram, Wajih; Bui-Thanh, Tan; Ghattas, Omar; Keyes, David; Stadler, Georg; Turkiyyah, George; Zampini, Stefano
2020
A nonsmooth model for discontinuous shear thickening fluids: analysis and numerical solution. Zbl 1305.76005
De los Reyes, Juan Carlos; Stadler, Georg
2014
A mathematical model for the deformation of the eyeball by an elastic band. Zbl 1163.92015
Keeling, Stephen L.; Propst, Georg; Stadler, Georg; Wackernagel, Werner
2009
Bayesian approach to inverse scattering with topological priors. Zbl 1465.65118
Carpio, Ana; Iakunin, Sergei; Stadler, Georg
2020
Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis. Zbl 1483.35306
Tong, Shanyin; Vanden-Eijnden, Eric; Stadler, Georg
2021
Optimal design of large-scale Bayesian linear inverse problems under reducible model uncertainty: good to know what you don’t know. Zbl 1460.62120
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Sunseri, Isaac
2021
Extreme event probability estimation using PDE-constrained optimization and large deviation theory, with application to tsunamis. Zbl 1483.35306
Tong, Shanyin; Vanden-Eijnden, Eric; Stadler, Georg
2021
Optimal experimental design under irreducible uncertainty for linear inverse problems governed by PDEs. Zbl 1443.62213
Koval, Karina; Alexanderian, Alen; Stadler, Georg
2020
Hierarchical matrix approximations of Hessians arising in inverse problems governed by PDEs. Zbl 1453.65289
Ambartsumyan, Ilona; Boukaram, Wajih; Bui-Thanh, Tan; Ghattas, Omar; Keyes, David; Stadler, Georg; Turkiyyah, George; Zampini, Stefano
2020
Bayesian approach to inverse scattering with topological priors. Zbl 1465.65118
Carpio, Ana; Iakunin, Sergei; Stadler, Georg
2020
A comparative study of structural similarity and regularization for joint inverse problems governed by PDEs. Zbl 1412.65197
Crestel, Benjamin; Stadler, Georg; Ghattas, Omar
2019
Sparse solutions in optimal control of PDEs with uncertain parameters: the linear case. Zbl 1418.60099
Li, Chen; Stadler, Georg
2019
Mitigating the influence of the boundary on PDE-based covariance operators. Zbl 1401.65043
Daon, Yair; Stadler, Georg
2018
Mean-variance risk-averse optimal control of systems governed by PDEs with random parameter fields using quadratic approximations. Zbl 1391.93289
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
2017
A-optimal encoding weights for nonlinear inverse problems, with application to the Helmholtz inverse problem. Zbl 1370.65064
Crestel, Benjamin; Alexanderian, Alen; Stadler, Georg; Ghattas, Omar
2017
Weighted BFBT preconditioner for Stokes flow problems with highly heterogeneous viscosity. Zbl 1392.65039
Rudi, Johann; Stadler, Georg; Ghattas, Omar
2017
A fast and scalable method for A-optimal design of experiments for infinite-dimensional Bayesian nonlinear inverse problems. Zbl 06536072
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
2016
Scalable and efficient algorithms for the propagation of uncertainty from data through inference to prediction for large-scale problems, with application to flow of the antarctic ice sheet. Zbl 1352.86017
Isaac, Tobin; Petra, Noemi; Stadler, Georg; Ghattas, Omar
2015
Comparison of multigrid algorithms for high-order continuous finite element discretizations. Zbl 1349.65680
Sundar, Hari; Stadler, Georg; Biros, George
2015
Solution of nonlinear Stokes equations discretized by high-order finite elements on nonconforming and anisotropic meshes, with application to ice sheet dynamics. Zbl 1327.65242
Isaac, Tobin; Stadler, Georg; Ghattas, Omar
2015
Discretely exact derivatives for hyperbolic PDE-constrained optimization problems discretized by the discontinuous Galerkin method. Zbl 1319.65051
Wilcox, Lucas C.; Stadler, Georg; Bui-Thanh, Tan; Ghattas, Omar
2015
Erratum: “Directional sparsity in optimal control of partial differential equations”. Zbl 1322.49039
Herzog, Roland; Stadler, Georg; Wachsmuth, Gerd
2015
A computational framework for infinite-dimensional Bayesian inverse problems. II: stochastic Newton MCMC with application to ice sheet flow inverse problems. Zbl 1303.35110
Petra, Noemi; Martin, James; Stadler, Georg; Ghattas, Omar
2014
A-optimal design of experiments for infinite-dimensional Bayesian linear inverse problems with regularized $$\ell_0$$-sparsification. Zbl 1314.62163
Alexanderian, Alen; Petra, Noemi; Stadler, Georg; Ghattas, Omar
2014
A nonsmooth model for discontinuous shear thickening fluids: analysis and numerical solution. Zbl 1305.76005
De los Reyes, Juan Carlos; Stadler, Georg
2014
A computational framework for infinite-dimensional Bayesian inverse problems. I: The linearized case, with application to global seismic inversion. Zbl 1287.35087
Bui-Thanh, Tan; Ghattas, Omar; Martin, James; Stadler, Georg
2013
Directional sparsity in optimal control of partial differential equations. Zbl 1244.49038
Herzog, Roland; Stadler, Georg; Wachsmuth, Gerd
2012
A shape Hessian-based boundary roughness analysis of Navier-Stokes flow. Zbl 1215.35122
Yang, Shan; Stadler, Georg; Moser, Robert; Ghattas, Omar
2011
A high-order discontinuous Galerkin method for wave propagation through coupled elastic-acoustic media. Zbl 1427.74071
Wilcox, Lucas C.; Stadler, Georg; Burstedde, Carsten; Ghattas, Omar
2010
Elliptic optimal control problems with $$L^1$$-control cost and applications for the placement of control devices. Zbl 1185.49031
2009
Parallel scalable adjoint-based adaptive solution of variable-viscosity Stokes flow problems. Zbl 1227.76027
Burstedde, Carsten; Ghattas, Omar; Stadler, Georg; Tu, Tiankai; Wilcox, Lucas C.
2009
Frictional contact of an anisotropic piezoelectric plate. Zbl 1155.74031
Figueiredo, Isabel N.; Stadler, Georg
2009
A mathematical model for the deformation of the eyeball by an elastic band. Zbl 1163.92015
Keeling, Stephen L.; Propst, Georg; Stadler, Georg; Wackernagel, Werner
2009
A primal-dual active set algorithm for three-dimensional contact problems with Coulomb friction. Zbl 1158.74045
Hüeber, S.; Stadler, G.; Wohlmuth, B. I.
2008
Path-following and augmented Lagrangian methods for contact problems in linear elasticity. Zbl 1119.49028
2007
An infeasible primal-dual algorithm for total bounded variation–based Inf-convolution-type image restoration. Zbl 1136.94302
Hintermüller, M.; Stadler, G.
2006
Generalized Newton methods for the 2D-Signorini contact problem with friction in function space. Zbl 1330.74132
Kunisch, Karl; Stadler, Georg
2005
Semismooth Newton and augmented Lagrangian methods for a simplified friction problem. Zbl 1106.90078
2004
A semi-smooth Newton method for constrained linear-quadratic control problems. Zbl 1015.49025
Hintermüller, Michael; Stadler, Georg
2003
all top 5

### Cited by 964 Authors

 20 Ghattas, Omar N. 18 Kunisch, Karl 17 Stadler, Georg 16 Casas, Eduardo 16 Wohlmuth, Barbara I. 13 Wall, Wolfgang A. 12 Alexanderian, Alen 11 Chen, Peng 11 Hintermüller, Michael 10 De los Reyes, Juan Carlos 10 Popp, Alexander 9 Clason, Christian 9 Herzog, Roland 9 Marzouk, Youssef M. 8 Borzì, Alfio 8 Bui-Thanh, Tan 8 Saibaba, Arvind Krishna 8 Zhang, Shougui 7 Cui, Tiangang 7 Petra, Noemi 6 Chan, Jesse 6 Kučera, Radek 6 Petrov, Igor’ Borisovich 6 Villa, Umberto E. 6 Wachsmuth, Gerd 5 Chung, Tsz Shun Eric 5 Dong, Yiqiu 5 Gee, Michael W. 5 González Andrade, Sergio 5 Helin, Tapio 5 Li, Xiaolin 5 Mazzieri, Ilario 5 Roy, Souvik 5 Schönlieb, Carola-Bibiane 5 Stuart, Andrew M. 5 Surowiec, Thomas 5 Tröltzsch, Fredi 5 Vexler, Boris 5 Vohralík, Martin 5 Wachsmuth, Daniel 4 Antonietti, Paola Francesca 4 Appelö, Daniel 4 Biros, George 4 Burger, Martin 4 Fornasier, Massimo 4 Haslinger, Jaroslav 4 Mang, Andreas 4 Merino, Pedro 4 Pörner, Frank 4 Seitz, Alexander 4 Trautmann, Philip 3 Banks, Jeffrey W. 3 Barboteu, Mikaël 3 Bardsley, Johnathan M. 3 Berre, Inga 3 Chan, Tony Fan-Cheong 3 Combettes, Patrick L. 3 Dabaghi, Jad 3 de Hoop, Maarten V. 3 Du, Jie 3 Dumont, Serge 3 Dunlop, Matthew M. 3 Favorskaya, Alena V. 3 Fung, Samy Wu 3 Gabriel, Alice-Agnes 3 Gao, Kai 3 Gassner, Gregor J. 3 Gholami, Amir 3 Girolami, Mark A. 3 Guilleminot, Johann 3 Henshaw, William D. 3 Hyvönen, Nuutti 3 Isaac, Tobin 3 Keilegavlen, Eirik 3 Khristenko, Ustim 3 Koko, Jonas 3 Kopriva, David Alan 3 Kouri, Drew P. 3 Kronbichler, Martin 3 Li, Jinglai 3 Liu, Qinghuo 3 Mateos, Mariano 3 Morzfeld, Matthias 3 Myśliński, Andrzej 3 Nicholson, Ruanui 3 Nordström, Jan 3 Papež, Jan 3 Pieper, Konstantin 3 Rao, Vishwas 3 Ruthotto, Lars 3 Schroder, Andreas 3 Schwab, Christoph 3 Schwendeman, Donald William 3 Sitzmann, Saskia 3 Stefansson, Ivar 3 Stoll, Martin 3 Temizer, Ilker 3 Tenorio, Luis 3 Tong, Xin Thomson 3 Ulbrich, Michael ...and 864 more Authors
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### Cited in 115 Serials

 51 Computer Methods in Applied Mechanics and Engineering 48 Journal of Computational Physics 48 SIAM Journal on Scientific Computing 26 Computational Optimization and Applications 24 Inverse Problems 24 SIAM/ASA Journal on Uncertainty Quantification 18 SIAM Journal on Control and Optimization 18 Journal of Scientific Computing 16 Computers & Mathematics with Applications 15 International Journal for Numerical Methods in Engineering 11 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 9 Journal of Mathematical Imaging and Vision 8 Numerische Mathematik 8 Computational Mechanics 8 Advances in Computational Mathematics 8 Mathematical Control and Related Fields 7 SIAM Journal on Numerical Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 6 Applied Mathematics and Computation 6 Journal of Computational and Applied Mathematics 6 Journal of Optimization Theory and Applications 6 Inverse Problems and Imaging 5 Computational Geosciences 5 SIAM Journal on Imaging Sciences 4 Numerical Functional Analysis and Optimization 4 Applied Mathematical Modelling 4 SIAM Journal on Optimization 4 Optimization Methods & Software 4 Optimization and Engineering 3 Applicable Analysis 3 Journal of Fluid Mechanics 3 Journal of Mathematical Analysis and Applications 3 Engineering Analysis with Boundary Elements 2 Mathematical Methods in the Applied Sciences 2 Automatica 2 Mathematics of Operations Research 2 Systems & Control Letters 2 Optimization 2 Applications of Mathematics 2 Computational Mathematics and Mathematical Physics 2 Journal of Elasticity 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Mathematical Analysis 2 Mathematical Programming. Series A. Series B 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Mathematical Problems in Engineering 2 Mathematics and Mechanics of Solids 2 Journal of Inequalities and Applications 2 Communications in Nonlinear Science and Numerical Simulation 2 Lobachevskii Journal of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Archives of Computational Methods in Engineering 2 Computational Methods in Applied Mathematics 2 Multiscale Modeling & Simulation 2 Inverse Problems in Science and Engineering 2 GAMM-Mitteilungen 2 Communications in Computational Physics 2 GEM - International Journal on Geomathematics 2 S$$\vec{\text{e}}$$MA Journal 2 Journal of Theoretical Biology 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Electronic Research Archive 1 Acta Mechanica 1 Computers and Fluids 1 Computer Physics Communications 1 Journal of the Franklin Institute 1 Journal of Mathematical Biology 1 Journal of Statistical Physics 1 Moscow University Mathematics Bulletin 1 Applied Mathematics and Optimization 1 BIT 1 Calcolo 1 Information Sciences 1 Optimal Control Applications & Methods 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Statistical Science 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Numerical Algorithms 1 Computational Statistics 1 International Journal of Computer Mathematics 1 SIAM Review 1 Calculus of Variations and Partial Differential Equations 1 International Journal of Computer Vision 1 ETNA. Electronic Transactions on Numerical Analysis 1 Russian Journal of Numerical Analysis and Mathematical Modelling 1 Opuscula Mathematica 1 Doklady Mathematics 1 Multibody System Dynamics 1 Vietnam Journal of Mathematics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 International Journal of Applied Mathematics and Computer Science 1 Journal of Systems Science and Complexity 1 Journal of Machine Learning Research (JMLR) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computational Methods and Function Theory 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Acta Numerica ...and 15 more Serials
all top 5

### Cited in 33 Fields

 333 Numerical analysis (65-XX) 180 Calculus of variations and optimal control; optimization (49-XX) 162 Partial differential equations (35-XX) 134 Mechanics of deformable solids (74-XX) 84 Statistics (62-XX) 69 Fluid mechanics (76-XX) 59 Operations research, mathematical programming (90-XX) 42 Computer science (68-XX) 42 Geophysics (86-XX) 38 Information and communication theory, circuits (94-XX) 28 Probability theory and stochastic processes (60-XX) 24 Biology and other natural sciences (92-XX) 22 Systems theory; control (93-XX) 11 Optics, electromagnetic theory (78-XX) 10 Operator theory (47-XX) 9 Linear and multilinear algebra; matrix theory (15-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 Mechanics of particles and systems (70-XX) 4 Real functions (26-XX) 4 Functional analysis (46-XX) 3 Ordinary differential equations (34-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Quantum theory (81-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX)