Edit Profile (opens in new tab) Yserentant, Harry Compute Distance To: Compute Author ID: yserentant.harry Published as: Yserentant, Harry; Yserentant, H.; Yserentant, Heinrich more...less Documents Indexed: 65 Publications since 1980, including 6 Books 1 Contribution as Editor Co-Authors: 36 Co-Authors with 28 Joint Publications 1,250 Co-Co-Authors all top 5 Co-Authors 38 single-authored 6 Kornhuber, Ralf 6 Leinen, Peter 5 Bank, Randolph E. 3 Klingler, Markus 3 Niederdrenk, Klaus 2 Gauckler, Ludwig J. 2 Podlesny, Joscha 1 Bornemann, Folkmar A. 1 Dahlke, Stephan 1 Dahmen, Wolfgang A. 1 Deuflhard, Peter 1 Dupont, Todd F. 1 Gagelman, Jerry 1 Gauger, Christoph 1 Gebauer, Susanna 1 Griebel, Michael 1 Hackbusch, Wolfgang 1 Hipp, M. 1 Hüttemann, S. 1 Jokar, Sadegh 1 Konold, M. 1 Kreusler, Hans-Christian 1 Luther, Wolfram Jérôme 1 Mehrmann, Volker 1 Peterseim, Daniel 1 Pfetsch, Marc E. 1 Reutter, Fritz 1 Ritt, Marcus 1 Ritter, Klaus 1 Rosenstiel, Wolfgang 1 Ruder, Hanns 1 Schneider, Reinhold 1 Scholz, Stephan 1 Schwab, Christoph 1 Speith, Roland 1 Welfert, Bruno D. all top 5 Serials 23 Numerische Mathematik 4 Computing 3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 3 Mathematics of Computation 3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 SIAM Journal on Numerical Analysis 2 SIAM Journal on Scientific Computing 1 Applied Mathematics and Computation 1 BIT 1 Applied Numerical Mathematics 1 SIAM Journal on Matrix Analysis and Applications 1 IMPACT of Computing in Science and Engineering 1 Numerical Algorithms 1 Computing and Visualization in Science 1 Computational Methods in Applied Mathematics 1 Multiscale Modeling & Simulation 1 Lecture Notes in Mathematics 1 Lecture Notes in Computational Science and Engineering all top 5 Fields 50 Numerical analysis (65-XX) 37 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 7 Quantum theory (81-XX) 4 Approximations and expansions (41-XX) 4 Probability theory and stochastic processes (60-XX) 3 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Functional analysis (46-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 50 Publications have been cited 974 times in 707 Documents Cited by ▼ Year ▼ On the multi-level splitting of finite element spaces. Zbl 0608.65065Yserentant, Harry 184 1986 The hierarchical basis multigrid method. Zbl 0645.65074Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry 92 1988 A class of iterative methods for solving saddle point problems. Zbl 0684.65031Bank, Randolph E.; Welfert, Bruno D.; Yserentant, Harry 79 1990 Old and new convergence proofs for multigrid methods. Zbl 0788.65108Yserentant, Harry 78 1993 Concepts of an adaptive hierarchical finite element code. Zbl 0706.65111Deuflhard, P.; Leinen, P.; Yserentant, H. 74 1989 On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces. Zbl 1285.65068Bank, Randolph E.; Yserentant, Harry 49 2014 Regularity and approximability of electronic wave functions. Zbl 1204.35003Yserentant, Harry 42 2010 Two preconditioners based on the multi-level splitting of finite element spaces. Zbl 0708.65103Yserentant, Harry 40 1990 On the regularity of the electronic Schrödinger equation in Hilbert spaces of mixed derivatives. Zbl 1062.35100Yserentant, Harry 35 2004 An analysis of a class of variational multiscale methods based on subspace decomposition. Zbl 1397.65233Kornhuber, Ralf; Peterseim, Daniel; Yserentant, Harry 31 2018 Numerical homogenization of elliptic multiscale problems by subspace decomposition. Zbl 1352.65521Kornhuber, Ralf; Yserentant, Harry 31 2016 A basic norm equivalence for the theory of multilevel methods. Zbl 0796.65135Bornemann, Folkmar; Yserentant, Harry 28 1993 Sparse grid spaces for the numerical solution of the electronic Schrödinger equation. Zbl 1084.65125Yserentant, H. 21 2005 The convergence of multi-level methods for solving finite-element equations in the presence of singularities. Zbl 0615.65115Yserentant, Harry 16 1986 Erratum: On the multi-level splitting of finite element spaces. Zbl 0625.65109Yserentant, Harry 14 1986 On the multi-level splitting of finite element spaces for indefinite elliptic boundary value problems. Zbl 0616.65102Yserentant, Harry 12 1986 Multilevel methods for elliptic problems on domains not resolved by the coarse grid. Zbl 0817.65109Kornhuber, Ralf; Yserentant, Harry 12 1994 Hierarchical bases give conjugate gradient type methods a multigrid speed of convergence. Zbl 0614.65114Yserentant, Harry 11 1986 Coarse grid spaces for domains with a complicated boundary. Zbl 0939.65134Yserentant, Harry 11 1999 Preconditioning indefinite discretization matrices. Zbl 0663.65042Yserentant, Harry 11 1989 The hyperbolic cross space approximation of electronic wavefunctions. Zbl 1116.78007Yserentant, Harry 10 2007 Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme. Zbl 0526.65065Niederdrenk, Klaus; Yserentant, Harry 8 1983 Hierarchical bases of finite-element spaces in the discretization of nonsymmetric elliptic boundary value problems. Zbl 0566.65080Yserentant, H. 7 1985 The finite mass method. Zbl 1049.76054Gauger, Christoph; Leinen, Peter; Yserentant, Harry 7 2000 A new class of particle methods. Zbl 0876.76067Yserentant, Harry 7 1997 A spectral method for Schrödinger equations with smooth confinement potentials. Zbl 1255.65218Gagelman, Jerry; Yserentant, Harry 5 2012 A note on interpolation, best approximation, and the saturation property. Zbl 1332.65155Bank, Randolph E.; Yserentant, Harry 5 2015 On the convergence of multi-level methods for strongly nonuniform families of grids and any number of smoothing steps per level. Zbl 0497.65055Yserentant, H. 4 1983 A remark on the numerical computation of improper integrals. Zbl 0498.65009Yserentant, H. 4 1983 Über die Maximumnormkonvergenz der Methode der finiten Elemente bei geringsten Regularitätsvoraussetzungen. Zbl 0616.65103Yserentant, H. 4 1985 Die Mehrstellenformeln für den Laplace-Operator. Zbl 0413.65072Yserentant, Harry 4 1980 Regularity and approximability of the solutions to the chemical master equation. Zbl 1319.80004Gauckler, Ludwig; Yserentant, Harry 4 2014 The mixed regularity of electronic wave functions multiplied by explicit correlation factors. Zbl 1311.35243Yserentant, Harry 4 2011 The mixed regularity of electronic wave functions in fractional order and weighted Sobolev spaces. Zbl 1258.35152Kreusler, Hans-Christian; Yserentant, Harry 4 2012 Sparse approximate solution of partial differential equations. Zbl 1220.65170Jokar, Sadegh; Mehrmann, Volker; Pfetsch, Marc E.; Yserentant, Harry 3 2010 A short theory of the Rayleigh-Ritz method. Zbl 1447.65168Yserentant, Harry 3 2013 Die maximale Konsistenzordnung von Differenzenapproximationen nichtnegativer Art. Zbl 0536.65074Yserentant, Harry 2 1983 Über die Aufspaltung von Finite-Element-Räumen in Teilräume verschiedener Verfeinerungsstufen. (On the splitting of finite-element spaces in subspaces of different refinement levels). Zbl 0592.65074Yserentant, Heinrich 2 1984 Sparse grids, adaptivity, and symmetry. Zbl 1344.65116Yserentant, H. 2 2006 Particles of variable size. Zbl 0951.76076Yserentant, Harry 2 1999 Direct and iterative methods for numerical homogenization. Zbl 1367.65094Kornhuber, Ralf; Podlesny, Joscha; Yserentant, Harry 2 2017 Regularity, complexity, and approximability of electronic wavefunctions. Zbl 1318.82029Yserentant, Harry 2 2014 Eine einfache und robuste Maximumnormabschaetzung für die Methode der finiten Elemente. Zbl 0529.65065Yserentant, H. 1 1983 Hierarchical bases in the numerical solution of parabolic problems. Zbl 0617.65115Yserentant, Harry 1 1987 Structure-preserving discretization of the chemical master equation. Zbl 1378.65032Gauckler, Ludwig; Yserentant, Harry 1 2017 A restart procedure for the finite mass method. Zbl 1253.76113Klingler, Markus; Leinen, Peter; Yserentant, Harry 1 2007 The convergence of the finite mass method for flows in given force and velocity fields. Zbl 1090.76056Yserentant, Harry 1 2002 Entropy generation and shock resolution in the particle model of compressible fluids. Zbl 0951.76077Yserentant, Harry 1 1999 On the expansion of solutions of Laplace-like equations into traces of separable higher dimensional functions. Zbl 1454.35082Yserentant, Harry 1 2020 On the approximation of electronic wavefunctions by anisotropic Gauss and Gauss-Hermite functions. Zbl 1397.81439Scholz, Stephan; Yserentant, Harry 1 2017 On the expansion of solutions of Laplace-like equations into traces of separable higher dimensional functions. Zbl 1454.35082Yserentant, Harry 1 2020 An analysis of a class of variational multiscale methods based on subspace decomposition. Zbl 1397.65233Kornhuber, Ralf; Peterseim, Daniel; Yserentant, Harry 31 2018 Direct and iterative methods for numerical homogenization. Zbl 1367.65094Kornhuber, Ralf; Podlesny, Joscha; Yserentant, Harry 2 2017 Structure-preserving discretization of the chemical master equation. Zbl 1378.65032Gauckler, Ludwig; Yserentant, Harry 1 2017 On the approximation of electronic wavefunctions by anisotropic Gauss and Gauss-Hermite functions. Zbl 1397.81439Scholz, Stephan; Yserentant, Harry 1 2017 Numerical homogenization of elliptic multiscale problems by subspace decomposition. Zbl 1352.65521Kornhuber, Ralf; Yserentant, Harry 31 2016 A note on interpolation, best approximation, and the saturation property. Zbl 1332.65155Bank, Randolph E.; Yserentant, Harry 5 2015 On the \(H^1\)-stability of the \(L_2\)-projection onto finite element spaces. Zbl 1285.65068Bank, Randolph E.; Yserentant, Harry 49 2014 Regularity and approximability of the solutions to the chemical master equation. Zbl 1319.80004Gauckler, Ludwig; Yserentant, Harry 4 2014 Regularity, complexity, and approximability of electronic wavefunctions. Zbl 1318.82029Yserentant, Harry 2 2014 A short theory of the Rayleigh-Ritz method. Zbl 1447.65168Yserentant, Harry 3 2013 A spectral method for Schrödinger equations with smooth confinement potentials. Zbl 1255.65218Gagelman, Jerry; Yserentant, Harry 5 2012 The mixed regularity of electronic wave functions in fractional order and weighted Sobolev spaces. Zbl 1258.35152Kreusler, Hans-Christian; Yserentant, Harry 4 2012 The mixed regularity of electronic wave functions multiplied by explicit correlation factors. Zbl 1311.35243Yserentant, Harry 4 2011 Regularity and approximability of electronic wave functions. Zbl 1204.35003Yserentant, Harry 42 2010 Sparse approximate solution of partial differential equations. Zbl 1220.65170Jokar, Sadegh; Mehrmann, Volker; Pfetsch, Marc E.; Yserentant, Harry 3 2010 The hyperbolic cross space approximation of electronic wavefunctions. Zbl 1116.78007Yserentant, Harry 10 2007 A restart procedure for the finite mass method. Zbl 1253.76113Klingler, Markus; Leinen, Peter; Yserentant, Harry 1 2007 Sparse grids, adaptivity, and symmetry. Zbl 1344.65116Yserentant, H. 2 2006 Sparse grid spaces for the numerical solution of the electronic Schrödinger equation. Zbl 1084.65125Yserentant, H. 21 2005 On the regularity of the electronic Schrödinger equation in Hilbert spaces of mixed derivatives. Zbl 1062.35100Yserentant, Harry 35 2004 The convergence of the finite mass method for flows in given force and velocity fields. Zbl 1090.76056Yserentant, Harry 1 2002 The finite mass method. Zbl 1049.76054Gauger, Christoph; Leinen, Peter; Yserentant, Harry 7 2000 Coarse grid spaces for domains with a complicated boundary. Zbl 0939.65134Yserentant, Harry 11 1999 Particles of variable size. Zbl 0951.76076Yserentant, Harry 2 1999 Entropy generation and shock resolution in the particle model of compressible fluids. Zbl 0951.76077Yserentant, Harry 1 1999 A new class of particle methods. Zbl 0876.76067Yserentant, Harry 7 1997 Multilevel methods for elliptic problems on domains not resolved by the coarse grid. Zbl 0817.65109Kornhuber, Ralf; Yserentant, Harry 12 1994 Old and new convergence proofs for multigrid methods. Zbl 0788.65108Yserentant, Harry 78 1993 A basic norm equivalence for the theory of multilevel methods. Zbl 0796.65135Bornemann, Folkmar; Yserentant, Harry 28 1993 A class of iterative methods for solving saddle point problems. Zbl 0684.65031Bank, Randolph E.; Welfert, Bruno D.; Yserentant, Harry 79 1990 Two preconditioners based on the multi-level splitting of finite element spaces. Zbl 0708.65103Yserentant, Harry 40 1990 Concepts of an adaptive hierarchical finite element code. Zbl 0706.65111Deuflhard, P.; Leinen, P.; Yserentant, H. 74 1989 Preconditioning indefinite discretization matrices. Zbl 0663.65042Yserentant, Harry 11 1989 The hierarchical basis multigrid method. Zbl 0645.65074Bank, Randolph E.; Dupont, Todd F.; Yserentant, Harry 92 1988 Hierarchical bases in the numerical solution of parabolic problems. Zbl 0617.65115Yserentant, Harry 1 1987 On the multi-level splitting of finite element spaces. Zbl 0608.65065Yserentant, Harry 184 1986 The convergence of multi-level methods for solving finite-element equations in the presence of singularities. Zbl 0615.65115Yserentant, Harry 16 1986 Erratum: On the multi-level splitting of finite element spaces. Zbl 0625.65109Yserentant, Harry 14 1986 On the multi-level splitting of finite element spaces for indefinite elliptic boundary value problems. Zbl 0616.65102Yserentant, Harry 12 1986 Hierarchical bases give conjugate gradient type methods a multigrid speed of convergence. Zbl 0614.65114Yserentant, Harry 11 1986 Hierarchical bases of finite-element spaces in the discretization of nonsymmetric elliptic boundary value problems. Zbl 0566.65080Yserentant, H. 7 1985 Über die Maximumnormkonvergenz der Methode der finiten Elemente bei geringsten Regularitätsvoraussetzungen. Zbl 0616.65103Yserentant, H. 4 1985 Über die Aufspaltung von Finite-Element-Räumen in Teilräume verschiedener Verfeinerungsstufen. (On the splitting of finite-element spaces in subspaces of different refinement levels). Zbl 0592.65074Yserentant, Heinrich 2 1984 Die gleichmäßige Stabilität singulär gestörter diskreter und kontinuierlicher Randwertprobleme. Zbl 0526.65065Niederdrenk, Klaus; Yserentant, Harry 8 1983 On the convergence of multi-level methods for strongly nonuniform families of grids and any number of smoothing steps per level. Zbl 0497.65055Yserentant, H. 4 1983 A remark on the numerical computation of improper integrals. Zbl 0498.65009Yserentant, H. 4 1983 Die maximale Konsistenzordnung von Differenzenapproximationen nichtnegativer Art. Zbl 0536.65074Yserentant, Harry 2 1983 Eine einfache und robuste Maximumnormabschaetzung für die Methode der finiten Elemente. Zbl 0529.65065Yserentant, H. 1 1983 Die Mehrstellenformeln für den Laplace-Operator. Zbl 0413.65072Yserentant, Harry 4 1980 all cited Publications top 5 cited Publications all top 5 Cited by 920 Authors 26 Yserentant, Harry 20 Peterseim, Daniel 16 Griebel, Michael 13 Kornhuber, Ralf 13 Oswald, Peter 13 Xu, Jinchao 12 Axelsson, Axel Owe Holger 12 Brenner, Susanne Cecelia 10 Bank, Randolph E. 10 Lang, Jens 9 Målqvist, Axel 9 Praetorius, Dirk 9 Vassilevski, Panayot Spirov 8 Henning, Patrick 8 Stephan, Ernst Peter 7 Hiptmair, Ralf 7 Huang, Na 7 Kunoth, Angela 7 Owhadi, Houman 7 Zhou, Aihui 6 Altmann, Robert 6 Dahmen, Wolfgang A. 6 Feischl, Michael 6 Hackbusch, Wolfgang 6 Hoppe, Ronald H. W. 6 Huang, Qiumei 6 Ma, Changfeng 6 Pasciak, Joseph E. 6 Schneider, Reinhold 6 Temam, Roger Meyer 6 Ullrich, Tino 6 Wohlmuth, Barbara I. 6 Zou, Qingsong 5 Bai, Zhongzhi 5 Gunzburger, Max D. 5 Laminie, Jacques 5 Maischak, Matthias 5 Reusken, Arnold 5 Stevenson, Rob P. 5 Zikatanov, Ludmil T. 4 Ainsworth, Mark 4 Andreev, Roman 4 Bramble, James H. 4 Brugiapaglia, Simone 4 Calo, Victor Manuel 4 Cao, Zhihao 4 Chehab, Jean-Paul 4 Cheng, Xiaoliang 4 Cui, Jintao 4 Führer, Thomas 4 Karkulik, Michael 4 Ko, Jeonghwan 4 Kühn, Thomas 4 Kurdila, Andrew J. 4 Lisbona Cortés, Francisco Javier 4 Maier, Roland 4 Meyer, Arnd 4 Notay, Yvan 4 Olshanskii, Maxim A. 4 Ovall, Jeffrey S. 4 Sauter, Stefan A. 4 Schwab, Christoph 4 Sickel, Winfried 4 Wang, Junping 4 Weiser, Martin 4 Xu, Xuejun 3 Aulisa, Eugenio 3 Aurada, Markus 3 Beuchler, Sven 3 Borzì, Alfio 3 Bungartz, Hans-Joachim 3 Capodaglio, Giacomo 3 Chen, Long 3 Chung, Tsz Shun Eric 3 Ewing, Richard Edward 3 Ferraz-Leite, Samuel 3 Fish, Jacob 3 Flad, Heinz-Jürgen 3 Gallistl, Dietmar 3 Garcia, Salvador G. 3 Gartland, Eugene C. jun. 3 Gaspar, Francisco José 3 Götschel, Sebastian 3 Goubet, Olivier 3 Gräser, Carsten 3 Hamaekers, Jan 3 Hietel, Dietmar 3 Khoromskiĭ, Boris Nikolaevich 3 Klasky, Scott 3 Li, Hengguang 3 Lin, Yiqin 3 Lu, Jianfeng 3 Maes, Jan 3 Mazroui, A. 3 Muga, Ignacio 3 Mund, Patrick 3 Neytcheva, Maya G. 3 Nguyen, Van Kien 3 Nochetto, Ricardo Horacio 3 Nuyens, Dirk ...and 820 more Authors all top 5 Cited in 119 Serials 65 Numerische Mathematik 50 Mathematics of Computation 46 Applied Numerical Mathematics 38 Computer Methods in Applied Mechanics and Engineering 38 Journal of Computational and Applied Mathematics 26 Computing 23 Numerical Linear Algebra with Applications 22 Applied Mathematics and Computation 20 SIAM Journal on Scientific Computing 19 SIAM Journal on Numerical Analysis 18 Journal of Scientific Computing 17 Multiscale Modeling & Simulation 16 Journal of Computational Physics 15 Computers & Mathematics with Applications 13 BIT 11 International Journal of Computer Mathematics 11 Advances in Computational Mathematics 11 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 10 Linear Algebra and its Applications 9 Constructive Approximation 8 RAIRO. Modélisation Mathématique et Analyse Numérique 8 Computational Mechanics 7 Numerical Methods for Partial Differential Equations 7 Numerical Algorithms 5 Calcolo 5 International Journal for Numerical Methods in Engineering 5 Mathematics and Computers in Simulation 5 Numerical Functional Analysis and Optimization 5 SIAM Journal on Matrix Analysis and Applications 5 Applications of Mathematics 5 Foundations of Computational Mathematics 5 Computational Methods in Applied Mathematics 5 Journal of Numerical Mathematics 4 Journal of Approximation Theory 4 Journal of Complexity 4 Applied Mathematics Letters 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 4 Applied and Computational Harmonic Analysis 4 Computing and Visualization in Science 3 Applicable Analysis 3 Journal of Mathematical Analysis and Applications 3 Journal of Optimization Theory and Applications 3 SIAM Review 3 Communications in Numerical Methods in Engineering 3 Archives of Computational Methods in Engineering 3 Advances in Applied Mathematics and Mechanics 3 Science China. Mathematics 2 Computers and Fluids 2 Computer Physics Communications 2 International Journal for Numerical Methods in Fluids 2 Journal of Engineering Mathematics 2 Journal of Statistical Physics 2 Computer Aided Geometric Design 2 Journal of Computational Mathematics 2 Acta Mathematicae Applicatae Sinica. English Series 2 Science in China. Series A 2 Applied Mathematical Modelling 2 ETNA. Electronic Transactions on Numerical Analysis 2 Mathematical Problems in Engineering 2 International Journal of Computational Fluid Dynamics 2 Optimization Methods & Software 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Engineering Computations 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Acta Numerica 2 Numerical Mathematics: Theory, Methods and Applications 1 Communications in Mathematical Physics 1 Letters in Mathematical Physics 1 Reports on Mathematical Physics 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Czechoslovak Mathematical Journal 1 Journal of Functional Analysis 1 Mathematische Nachrichten 1 Results in Mathematics 1 Optimal Control Applications & Methods 1 Acta Applicandae Mathematicae 1 Journal of the American Mathematical Society 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Japan Journal of Industrial and Applied Mathematics 1 The Annals of Applied Probability 1 Communications in Partial Differential Equations 1 SIAM Journal on Applied Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Mathematical Programming. Series A. Series B 1 Journal of Dynamics and Differential Equations 1 Computational Optimization and Applications 1 Computational and Applied Mathematics 1 Engineering Analysis with Boundary Elements 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 European Journal of Mechanics. A. Solids 1 International Journal of Applied Mathematics and Computer Science 1 Computational Geosciences 1 Journal of Dynamical and Control Systems 1 Lobachevskii Journal of Mathematics 1 Annales Henri Poincaré 1 Concurrency and Computation: Practice & Experience 1 SIAM Journal on Applied Dynamical Systems 1 Journal of Computational Acoustics 1 Oberwolfach Reports ...and 19 more Serials all top 5 Cited in 36 Fields 622 Numerical analysis (65-XX) 343 Partial differential equations (35-XX) 85 Fluid mechanics (76-XX) 55 Mechanics of deformable solids (74-XX) 38 Approximations and expansions (41-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 28 Quantum theory (81-XX) 23 Harmonic analysis on Euclidean spaces (42-XX) 21 Statistical mechanics, structure of matter (82-XX) 19 Computer science (68-XX) 19 Optics, electromagnetic theory (78-XX) 18 Probability theory and stochastic processes (60-XX) 17 Functional analysis (46-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 16 Ordinary differential equations (34-XX) 15 Operations research, mathematical programming (90-XX) 13 Operator theory (47-XX) 9 Biology and other natural sciences (92-XX) 8 Statistics (62-XX) 8 Classical thermodynamics, heat transfer (80-XX) 6 Integral equations (45-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Geophysics (86-XX) 4 Information and communication theory, circuits (94-XX) 3 Potential theory (31-XX) 2 Measure and integration (28-XX) 2 Functions of a complex variable (30-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Integral transforms, operational calculus (44-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Astronomy and astrophysics (85-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) Citations by Year