Edit Profile (opens in new tab) Peherstorfer, Benjamin Co-Author Distance Author ID: peherstorfer.benjamin Published as: Peherstorfer, Benjamin Documents Indexed: 58 Publications since 2010, including 16 Additional arXiv Preprints Co-Authors: 55 Co-Authors with 54 Joint Publications 1,426 Co-Co-Authors all top 5 Co-Authors 4 single-authored 18 Willcox, Karen E. 8 Bungartz, Hans-Joachim 7 Krämer, Boris 6 Uy, Wayne Isaac Tan 5 Alsup, Terrence 4 Marzouk, Youssef M. 3 Berman, Jules 3 Gunzburger, Max D. 3 Pflüger, Dirk 3 Werner, Steffen W. R. 2 Benner, Peter 2 Bruna, Joan 2 Cerfon, Antoine J. 2 Drmač, Zlatko 2 Farcas, Ionut-Gabriel 2 Goyal, Pawan 2 Gugercin, Serkan 2 Jenko, Frank 2 Law, Frederick 2 Maurais, Aimee 2 Neckel, Tobias 2 Qian, Elizabeth 2 Rim, Donsub 2 Schwerdtner, Paul 2 Vanden-Eijnden, Eric 2 Venturi, Luca 2 Wen, Yuxiao 1 Butnaru, Daniel 1 Cui, Tiangang 1 Di Siena, Alessandro 1 Franzelin, Fabian 1 Gomez, Pablo 1 Hartland, Tucker 1 Hartmann, Dirk 1 Huang, Cheng 1 Konrad, Julia 1 Kowitz, Christoph 1 Mainini, Laura 1 Mandli, Kyle T. 1 Marques, Alexandre Noll 1 O’Malley, Daniel 1 Overton, Michael L. 1 Petra, Noemi 1 Sawant, Nihar 1 Schulze, Philipp 1 Singh, Rodrigo 1 Swischuk, Renee 1 Vesselinov, Velimir V. 1 Villa, Umberto E. 1 Wang, Yuepeng 1 Wechsung, Florian 1 Wentland, Christopher R. 1 Zenger, Christoph 1 Zimmer, Stefan 1 Zimmermann, Ralf all top 5 Serials 11 SIAM Journal on Scientific Computing 6 Computer Methods in Applied Mechanics and Engineering 5 Journal of Computational Physics 4 SIAM/ASA Journal on Uncertainty Quantification 2 Advances in Computational Mathematics 1 Computers and Fluids 1 Computers & Mathematics with Applications 1 Numerische Mathematik 1 Physica D 1 Journal of Complexity 1 SIAM Journal on Matrix Analysis and Applications 1 Journal of Scientific Computing 1 SIAM Review 1 Notices of the American Mathematical Society 1 SIAM Journal on Applied Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Numerical Mathematics: Theory, Methods and Applications all top 5 Fields 41 Numerical analysis (65-XX) 16 Statistics (62-XX) 13 Partial differential equations (35-XX) 13 Systems theory; control (93-XX) 8 Computer science (68-XX) 6 Probability theory and stochastic processes (60-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Approximations and expansions (41-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 36 Publications have been cited 950 times in 550 Documents Cited by ▼ Year ▼ Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 1458.65003 Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 146 2018 Data-driven operator inference for nonintrusive projection-based model reduction. Zbl 1436.93062 Peherstorfer, Benjamin; Willcox, Karen 90 2016 Online adaptive model reduction for nonlinear systems via low-rank updates. Zbl 1323.65102 Peherstorfer, Benjamin; Willcox, Karen 75 2015 Localized discrete empirical interpolation method. Zbl 1290.65080 Peherstorfer, Benjamin; Butnaru, Daniel; Willcox, Karen; Bungartz, Hans-Joachim 75 2014 Spatially adaptive sparse grids for high-dimensional data-driven problems. Zbl 1200.65100 Pflüger, Dirk; Peherstorfer, Benjamin; Bungartz, Hans-Joachim 55 2010 Dynamic data-driven reduced-order models. Zbl 1425.65205 Peherstorfer, Benjamin; Willcox, Karen 52 2015 Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009 Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 50 2016 Projection-based model reduction: formulations for physics-based machine learning. Zbl 1411.65061 Swischuk, Renee; Mainini, Laura; Peherstorfer, Benjamin; Willcox, Karen 46 2019 Lift & learn: physics-informed machine learning for large-scale nonlinear dynamical systems. Zbl 1493.62512 Qian, Elizabeth; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen 43 2020 Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling. Zbl 1453.65286 Peherstorfer, Benjamin 42 2020 Multifidelity importance sampling. Zbl 1426.62087 Peherstorfer, Benjamin; Cui, Tiangang; Marzouk, Youssef; Willcox, Karen 36 2016 Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. Zbl 1506.93015 Benner, Peter; Goyal, Pawan; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen 27 2020 Geometric subspace updates with applications to online adaptive nonlinear model reduction. Zbl 1383.65034 Zimmermann, Ralf; Peherstorfer, Benjamin; Willcox, Karen 26 2018 Data-driven reduced model construction with time-domain Loewner models. Zbl 1448.65087 Peherstorfer, Benjamin; Gugercin, Serkan; Willcox, Karen 25 2017 Sampling low-dimensional Markovian dynamics for preasymptotically recovering reduced models from data with operator inference. Zbl 1456.65120 Peherstorfer, Benjamin 17 2020 Multifidelity preconditioning of the cross-entropy method for rare event simulation and failure probability estimation. Zbl 1394.35493 Peherstorfer, Benjamin; Kramer, Boris; Willcox, Karen 16 2018 Stability of discrete empirical interpolation and gappy proper orthogonal decomposition with randomized and deterministic sampling points. Zbl 1453.65287 Peherstorfer, Benjamin; Drmač, Zlatko; Gugercin, Serkan 15 2020 Multifidelity Monte Carlo estimation of variance and sensitivity indices. Zbl 1394.62175 Qian, Elizabeth; Peherstorfer, Benjamin; O’Malley, Daniel; Vesselinov, Velimir V.; Willcox, Karen 14 2018 Convergence analysis of multifidelity Monte Carlo estimation. Zbl 1394.35492 Peherstorfer, Benjamin; Gunzburger, Max; Willcox, Karen 11 2018 Combining multiple surrogate models to accelerate failure probability estimation with expensive high-fidelity models. Zbl 1376.93020 Peherstorfer, Benjamin; Kramer, Boris; Willcox, Karen 10 2017 Multifidelity Monte Carlo estimation with adaptive low-fidelity models. Zbl 1428.35570 Peherstorfer, Benjamin 9 2019 Breaking the Kolmogorov barrier with nonlinear model reduction. Zbl 1493.65161 Peherstorfer, Benjamin 9 2022 A transport-based multifidelity preconditioner for Markov chain Monte Carlo. Zbl 07179095 Peherstorfer, Benjamin; Marzouk, Youssef 9 2019 Selected recent applications of sparse grids. Zbl 1340.65213 Peherstorfer, Benjamin; Kowitz, Christoph; Pflüger, Dirk; Bungartz, Hans-Joachim 7 2015 Multifidelity probability estimation via fusion of estimators. Zbl 1453.62513 Kramer, Boris; Marques, Alexandre Noll; Peherstorfer, Benjamin; Villa, Umberto; Willcox, Karen 6 2019 Manifold approximations via transported subspaces: model reduction for transport-dominated problems. Zbl 1514.78017 Rim, Donsub; Peherstorfer, Benjamin; Mandli, Kyle T. 6 2023 Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations. Zbl 1480.65269 Uy, Wayne Isaac Tan; Peherstorfer, Benjamin 6 2021 Learning low-dimensional dynamical-system models from noisy frequency-response data with Loewner rational interpolation. Zbl 1504.93038 Drmač, Zlatko; Peherstorfer, Benjamin 6 2022 Operator inference of non-Markovian terms for learning reduced models from partially observed state trajectories. Zbl 1470.93035 Uy, Wayne Isaac Tan; Peherstorfer, Benjamin 5 2021 Physics-informed regularization and structure preservation for learning stable reduced models from data with operator inference. Zbl 07644880 Sawant, Nihar; Kramer, Boris; Peherstorfer, Benjamin 4 2023 Feedback control for systems with uncertain parameters using online-adaptive reduced models. Zbl 1369.93212 Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen 3 2017 Data-driven low-fidelity models for multi-fidelity Monte Carlo sampling in plasma micro-turbulence analysis. Zbl 07517176 Konrad, Julia; Farcaş, Ionuţ-Gabriel; Peherstorfer, Benjamin; Di Siena, Alessandro; Jenko, Frank; Neckel, Tobias; Bungartz, Hans-Joachim 3 2022 A multigrid method for adaptive sparse grids. Zbl 06502304 Peherstorfer, Benjamin; Zimmer, Stefan; Zenger, Christoph; Bungartz, Hans-Joachim 2 2015 Reduced models for sparse grid discretizations of the multi-asset Black-Scholes equation. Zbl 1336.91086 Peherstorfer, Benjamin; Gómez, Pablo; Bungartz, Hans-Joachim 2 2015 Classification with probability density estimation on sparse grids. Zbl 1329.62288 Peherstorfer, Benjamin; Franzelin, Fabian; Pflüger, Dirk; Bungartz, Hans-Joachim 1 2014 Active operator inference for learning low-dimensional dynamical-system models from noisy data. Zbl 1515.93043 Uy, Wayne Isaac Tan; Wang, Yuepeng; Wen, Yuxiao; Peherstorfer, Benjamin 1 2023 Manifold approximations via transported subspaces: model reduction for transport-dominated problems. Zbl 1514.78017 Rim, Donsub; Peherstorfer, Benjamin; Mandli, Kyle T. 6 2023 Physics-informed regularization and structure preservation for learning stable reduced models from data with operator inference. Zbl 07644880 Sawant, Nihar; Kramer, Boris; Peherstorfer, Benjamin 4 2023 Active operator inference for learning low-dimensional dynamical-system models from noisy data. Zbl 1515.93043 Uy, Wayne Isaac Tan; Wang, Yuepeng; Wen, Yuxiao; Peherstorfer, Benjamin 1 2023 Breaking the Kolmogorov barrier with nonlinear model reduction. Zbl 1493.65161 Peherstorfer, Benjamin 9 2022 Learning low-dimensional dynamical-system models from noisy frequency-response data with Loewner rational interpolation. Zbl 1504.93038 Drmač, Zlatko; Peherstorfer, Benjamin 6 2022 Data-driven low-fidelity models for multi-fidelity Monte Carlo sampling in plasma micro-turbulence analysis. Zbl 07517176 Konrad, Julia; Farcaş, Ionuţ-Gabriel; Peherstorfer, Benjamin; Di Siena, Alessandro; Jenko, Frank; Neckel, Tobias; Bungartz, Hans-Joachim 3 2022 Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations. Zbl 1480.65269 Uy, Wayne Isaac Tan; Peherstorfer, Benjamin 6 2021 Operator inference of non-Markovian terms for learning reduced models from partially observed state trajectories. Zbl 1470.93035 Uy, Wayne Isaac Tan; Peherstorfer, Benjamin 5 2021 Lift & learn: physics-informed machine learning for large-scale nonlinear dynamical systems. Zbl 1493.62512 Qian, Elizabeth; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen 43 2020 Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling. Zbl 1453.65286 Peherstorfer, Benjamin 42 2020 Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. Zbl 1506.93015 Benner, Peter; Goyal, Pawan; Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen 27 2020 Sampling low-dimensional Markovian dynamics for preasymptotically recovering reduced models from data with operator inference. Zbl 1456.65120 Peherstorfer, Benjamin 17 2020 Stability of discrete empirical interpolation and gappy proper orthogonal decomposition with randomized and deterministic sampling points. Zbl 1453.65287 Peherstorfer, Benjamin; Drmač, Zlatko; Gugercin, Serkan 15 2020 Projection-based model reduction: formulations for physics-based machine learning. Zbl 1411.65061 Swischuk, Renee; Mainini, Laura; Peherstorfer, Benjamin; Willcox, Karen 46 2019 Multifidelity Monte Carlo estimation with adaptive low-fidelity models. Zbl 1428.35570 Peherstorfer, Benjamin 9 2019 A transport-based multifidelity preconditioner for Markov chain Monte Carlo. Zbl 07179095 Peherstorfer, Benjamin; Marzouk, Youssef 9 2019 Multifidelity probability estimation via fusion of estimators. Zbl 1453.62513 Kramer, Boris; Marques, Alexandre Noll; Peherstorfer, Benjamin; Villa, Umberto; Willcox, Karen 6 2019 Survey of multifidelity methods in uncertainty propagation, inference, and optimization. Zbl 1458.65003 Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 146 2018 Geometric subspace updates with applications to online adaptive nonlinear model reduction. Zbl 1383.65034 Zimmermann, Ralf; Peherstorfer, Benjamin; Willcox, Karen 26 2018 Multifidelity preconditioning of the cross-entropy method for rare event simulation and failure probability estimation. Zbl 1394.35493 Peherstorfer, Benjamin; Kramer, Boris; Willcox, Karen 16 2018 Multifidelity Monte Carlo estimation of variance and sensitivity indices. Zbl 1394.62175 Qian, Elizabeth; Peherstorfer, Benjamin; O’Malley, Daniel; Vesselinov, Velimir V.; Willcox, Karen 14 2018 Convergence analysis of multifidelity Monte Carlo estimation. Zbl 1394.35492 Peherstorfer, Benjamin; Gunzburger, Max; Willcox, Karen 11 2018 Data-driven reduced model construction with time-domain Loewner models. Zbl 1448.65087 Peherstorfer, Benjamin; Gugercin, Serkan; Willcox, Karen 25 2017 Combining multiple surrogate models to accelerate failure probability estimation with expensive high-fidelity models. Zbl 1376.93020 Peherstorfer, Benjamin; Kramer, Boris; Willcox, Karen 10 2017 Feedback control for systems with uncertain parameters using online-adaptive reduced models. Zbl 1369.93212 Kramer, Boris; Peherstorfer, Benjamin; Willcox, Karen 3 2017 Data-driven operator inference for nonintrusive projection-based model reduction. Zbl 1436.93062 Peherstorfer, Benjamin; Willcox, Karen 90 2016 Optimal model management for multifidelity Monte Carlo estimation. Zbl 1351.65009 Peherstorfer, Benjamin; Willcox, Karen; Gunzburger, Max 50 2016 Multifidelity importance sampling. Zbl 1426.62087 Peherstorfer, Benjamin; Cui, Tiangang; Marzouk, Youssef; Willcox, Karen 36 2016 Online adaptive model reduction for nonlinear systems via low-rank updates. Zbl 1323.65102 Peherstorfer, Benjamin; Willcox, Karen 75 2015 Dynamic data-driven reduced-order models. Zbl 1425.65205 Peherstorfer, Benjamin; Willcox, Karen 52 2015 Selected recent applications of sparse grids. Zbl 1340.65213 Peherstorfer, Benjamin; Kowitz, Christoph; Pflüger, Dirk; Bungartz, Hans-Joachim 7 2015 A multigrid method for adaptive sparse grids. Zbl 06502304 Peherstorfer, Benjamin; Zimmer, Stefan; Zenger, Christoph; Bungartz, Hans-Joachim 2 2015 Reduced models for sparse grid discretizations of the multi-asset Black-Scholes equation. Zbl 1336.91086 Peherstorfer, Benjamin; Gómez, Pablo; Bungartz, Hans-Joachim 2 2015 Localized discrete empirical interpolation method. Zbl 1290.65080 Peherstorfer, Benjamin; Butnaru, Daniel; Willcox, Karen; Bungartz, Hans-Joachim 75 2014 Classification with probability density estimation on sparse grids. Zbl 1329.62288 Peherstorfer, Benjamin; Franzelin, Fabian; Pflüger, Dirk; Bungartz, Hans-Joachim 1 2014 Spatially adaptive sparse grids for high-dimensional data-driven problems. Zbl 1200.65100 Pflüger, Dirk; Peherstorfer, Benjamin; Bungartz, Hans-Joachim 55 2010 all cited Publications top 5 cited Publications all top 5 Cited by 1,082 Authors 37 Peherstorfer, Benjamin 32 Willcox, Karen E. 16 Hesthaven, Jan S. 15 Krämer, Boris 14 Rozza, Gianluigi 13 Bungartz, Hans-Joachim 13 Pflüger, Dirk 11 Iliescu, Traian 9 Benner, Peter 8 Brunton, Steven L. 8 Gugercin, Serkan 8 Haasdonk, Bernard 8 Kutz, J. Nathan 7 Kirby, Robert M. II 7 Lin, Guang 7 Manzoni, Andrea 7 Marzouk, Youssef M. 7 Narayan, Akil C. 7 San, Omer 7 Stabile, Giovanni 6 Farcas, Ionut-Gabriel 6 Gosea, Ion Victor 6 Guo, Mengwu 6 Jakeman, John Davis 6 Navon, Ionel Michael 6 Papaioannou, Iason 6 Ullmann, Elisabeth 6 Wang, Zhu 5 Ahmed, Shady E. 5 Carlberg, Kevin T. 5 Chinesta, Francisco 5 Choi, Youngsoo 5 Cui, Tiangang 5 Doostan, Alireza 5 Geraci, Gianluca 5 Gorodetsky, Alex Arkady 5 Goyal, Pawan 5 Gunzburger, Max D. 5 Karasözen, Bülent 5 Lanteri, Stéphane 5 Li, Kun 5 Li, Liang 5 Mou, Changhong 5 Mula, Olga 5 Neckel, Tobias 5 Taddei, Tommaso 4 Baker, Ruth Elizabeth 4 Cueto, Elias 4 Duraisamy, Karthik 4 Ghattas, Omar N. 4 Griebel, Michael 4 Huang, Ting-Zhu 4 Huerta, Antonio 4 Latz, Jonas 4 Pagliantini, Cecilia 4 Parish, Eric J. 4 Prescott, Thomas P. 4 Qian, Elizabeth 4 Quarteroni, Alfio M. 4 Singler, John R. 4 Straub, Daniel 4 Tartakovsky, Daniel M. 4 Uy, Wayne Isaac Tan 4 Uzunca, Murat 4 Zhu, Xueyu 4 Zimmermann, Ralf 3 Ayensa-Jiménez, Jacobo 3 Babaee, Hessam 3 Barth, Andrea 3 Biehler, Jonas 3 Buchfink, Patrick 3 Chaturantabut, Saifon 3 Chen, Peng 3 Cho, Haeseong 3 Doblaré, Manuel 3 Dolgov, Sergey V. 3 Doweidar, Mohamed Hamdy 3 Drmač, Zlatko 3 Ehre, Max 3 Eldred, Michael S. 3 Fang, Fangxin 3 Fareed, Hiba 3 Feng, Lihong 3 Franzelin, Fabian 3 Fresca, Stefania 3 Ghanem, Roger G. 3 Heinecke, Alexander 3 Iaccarino, Gianluca 3 Jenko, Frank 3 Karniadakis, George Em 3 Khodabakhshi, Parisa 3 Koc, Birgul 3 Lermusiaux, Pierre F. J. 3 Mola, Andrea 3 Nobile, Fabio 3 Othmer, Carsten 3 Pareschi, Lorenzo 3 Perdikaris, Paris G. 3 Rebholz, Leo G. 3 Ripamonti, Nicolò ...and 982 more Authors all top 5 Cited in 81 Serials 98 Computer Methods in Applied Mechanics and Engineering 96 Journal of Computational Physics 54 SIAM Journal on Scientific Computing 27 SIAM/ASA Journal on Uncertainty Quantification 23 Journal of Scientific Computing 14 Computers and Fluids 14 Computational Mechanics 11 International Journal for Numerical Methods in Engineering 10 Computers & Mathematics with Applications 10 Advances in Computational Mathematics 9 Physica D 8 Applied Mathematical Modelling 8 SIAM Journal on Applied Dynamical Systems 8 Multiscale Modeling & Simulation 7 Communications in Computational Physics 6 Applied Mathematics and Computation 6 Journal of Computational and Applied Mathematics 6 International Journal of Computational Fluid Dynamics 6 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 5 Mathematics and Computers in Simulation 5 SIAM Review 4 Journal of Fluid Mechanics 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 3 Inverse Problems 3 Mathematics of Computation 3 SIAM Journal on Matrix Analysis and Applications 3 Computational Geosciences 3 GAMM-Mitteilungen 2 Computer Physics Communications 2 Applied Numerical Mathematics 2 Numerical Methods for Partial Differential Equations 2 ETNA. Electronic Transactions on Numerical Analysis 2 Complexity 2 Optimization and Engineering 2 International Journal of Computational Methods 2 Acta Numerica 2 Statistics and Computing 1 Acta Mechanica 1 Journal of Mathematical Analysis and Applications 1 SIAM Journal on Control and Optimization 1 Systems & Control Letters 1 Chinese Annals of Mathematics. Series B 1 Acta Applicandae Mathematicae 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Machine Learning 1 Journal of Global Optimization 1 Numerical Algorithms 1 Computational Statistics 1 International Journal of Computer Mathematics 1 Mathematical Programming. Series A. Series B 1 SIAM Journal on Optimization 1 Monte Carlo Methods and Applications 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 Nonlinear Dynamics 1 Taiwanese Journal of Mathematics 1 Chaos 1 Mathematical and Computer Modelling of Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Machine Learning Research (JMLR) 1 Journal of Numerical Mathematics 1 Thai Journal of Mathematics 1 Mathematical Biosciences and Engineering 1 Engineering Optimization 1 Journal of Physics A: Mathematical and Theoretical 1 Algorithms 1 Dynamic Games and Applications 1 Numerical Algebra, Control and Optimization 1 Journal of Computational Dynamics 1 East Asian Journal on Applied Mathematics 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 SMAI Journal of Computational Mathematics 1 SIAM Journal on Mathematics of Data Science 1 European Mathematical Society Magazine 1 Journal of Computational Physics: X all top 5 Cited in 37 Fields 370 Numerical analysis (65-XX) 133 Fluid mechanics (76-XX) 117 Statistics (62-XX) 110 Computer science (68-XX) 102 Partial differential equations (35-XX) 54 Systems theory; control (93-XX) 53 Mechanics of deformable solids (74-XX) 47 Probability theory and stochastic processes (60-XX) 40 Dynamical systems and ergodic theory (37-XX) 28 Biology and other natural sciences (92-XX) 26 Operations research, mathematical programming (90-XX) 19 Approximations and expansions (41-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Ordinary differential equations (34-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 12 Optics, electromagnetic theory (78-XX) 10 Classical thermodynamics, heat transfer (80-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Geophysics (86-XX) 4 Functional analysis (46-XX) 4 Quantum theory (81-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Real functions (26-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 2 Information and communication theory, circuits (94-XX) 1 Topological groups, Lie groups (22-XX) 1 Geometry (51-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year