Edit Profile Descombes, Stéphane Compute Distance To: Compute Author ID: descombes.stephane Published as: Descombes, S.; Descombes, Stephane; Descombes, Stéphane Documents Indexed: 42 Publications since 1995, including 1 Book all top 5 Co-Authors 1 single-authored 14 Massot, Marc 11 Duarte, Max 9 Dumont, Thierry 8 Louvet, Violaine 6 Benzoni-Gavage, Sylvie 5 Danchin, Raphaël 5 Lanteri, Stéphane 4 Moya, Ludovic 3 Besse, Christophe 3 Jamet, Didier 3 Laurent, Frédérique 3 Schatzman, Michelle 2 Dronne, Marie-Aimée 2 Moussaoui, Mohand-Arezki 2 Ribot, Magali 2 Tenaud, Christian 2 Thalhammer, Mechthild 1 Antoine, Xavier 1 Bidégaray-Fesquet, Brigitte 1 Bonaventura, Zdeněk 1 Bourdon, Anne 1 Castella, François 1 Chartier, Philippe 1 Christophe, Alexandra 1 Dia, Boun Oumar 1 Dolean, Victorita 1 Dormy, Emmanuel 1 Dujardin, Guillaume Michel 1 Dussoubs, Bernard 1 Faure, Sylvain 1 Gander, Martin Jakob 1 Gilquin, Hervé 1 Gouarin, Loïc 1 Grenier, Emmanuel 1 Guillet, Thomas 1 Iskakov, Alekseĭ Borisovich 1 Lacroix-Violet, Ingrid 1 Miele, Vincent 1 Poignard, Claire 1 Vilmart, Gilles all top 5 Serials 3 SIAM Journal on Numerical Analysis 2 IMA Journal of Numerical Analysis 2 Journal of Computational Physics 2 BIT 2 Numerische Mathematik 2 SIAM Journal on Scientific Computing 2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Gazette des Mathématiciens 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of Functional Analysis 1 Mathematical and Computer Modelling 1 Journal of Scientific Computing 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Electronic Journal of Differential Equations (EJDE) 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Interfaces and Free Boundaries 1 Communications in Nonlinear Science and Numerical Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Confluentes Mathematici 1 SMAI Journal of Computational Mathematics all top 5 Fields 30 Partial differential equations (35-XX) 26 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 5 Optics, electromagnetic theory (78-XX) 4 Operator theory (47-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Biology and other natural sciences (92-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 34 Publications have been cited 370 times in 276 Documents Cited by ▼ Year ▼ Order estimates in time of splitting methods for the nonlinear Schrödinger equation. Zbl 1026.65073Besse, Christophe; Bidégaray, Brigitte; Descombes, Stéphane 49 2002 On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060Benzoni-Gavage, S.; Danchin, R.; Descombes, S. 44 2007 Splitting methods with complex times for parabolic equations. Zbl 1180.65106Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G. 32 2009 Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102Antoine, Xavier; Besse, Christophe; Descombes, Stephane 30 2006 Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D. 23 2005 Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: Singular perturbation and order reduction. Zbl 1060.65105Descombes, Stéphane; Massot, Marc 19 2004 Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane 17 2006 Convergence of a splitting method of high order for reaction-diffusion systems. Zbl 0981.65107Descombes, Stéphane 17 2001 Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1266.78030Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 15 2013 An integro-differential formulation for magnetic induction in bounded domains: Boundary element–finite volume method. Zbl 1106.76404Iskakov, A. B.; Descombes, S.; Dormy, E. 13 2004 The Lie-Trotter splitting for nonlinear evolutionary problems with critical parameters: A compact local error representation and application to nonlinear Schrödinger equations in the semiclassical regime. Zbl 1266.65153Descombes, Stéphane; Thalhammer, Mechthild 11 2013 Strang’s formula for holomorphic semi-groups. Zbl 1030.35095Descombes, Stéphane; Schatzman, Michelle 10 2002 An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical regime. Zbl 1205.65250Descombes, Stéphane; Thalhammer, Mechthild 9 2010 New resolution strategy for multiscale reaction waves using time operator splitting, space adaptive multiresolution, and dedicated high order implicit/explicit time integrators. Zbl 1243.65107Duarte, Max; Massot, Marc; Descombes, Stéphane; Tenaud, Christian; Dumont, Thierry; Louvet, Violaine; Laurent, Frédérique 8 2012 Convergence of the Peaceman-Rachford approximation for reaction-diffusion systems. Zbl 1034.65077Descombes, Stéphane; Ribot, Magali 8 2003 Simulation of human ischemic stroke in realistic 3D geometry. Zbl 1322.92019Dumont, Thierry; Duarte, Max; Descombes, Stéphane; Dronne, Marie-Aimée; Massot, Marc; Louvet, Violaine 6 2013 Stability issues in the Euler-Korteweg model. Zbl 1119.76029Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane; Jamet, Didier 6 2007 Locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media applied to numerical dosimetry in biological tissues. Zbl 1351.35208Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 5 2016 Analysis of operator splitting in the nonasymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames. Zbl 1320.65080Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Laurent, Frédérique; Louvet, Violaine; Massot, Marc 5 2014 A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations. Zbl 1406.76063Duarte, Max; Bonaventura, Zdeněk; Massot, Marc; Bourdon, Anne; Descombes, Stéphane; Dumont, Thierry 5 2012 Adaptive time splitting method for multi-scale evolutionary partial differential equations. Zbl 1231.65153Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Louvet, Violaine; Massot, Marc 5 2011 On Richardson extrapolation of Strang formula for reaction-diffusion equations. Zbl 0911.35059Descombes, Stéphane; Schatzman, Michelle 5 1998 Parareal operator splitting techniques for multi-scale reaction waves: numerical analysis and strategies. Zbl 1269.65089Duarte, Max; Massot, Marc; Descombes, Stéphane 4 2011 On the local and global errors of splitting approximations of reaction-diffusion equations with high spatial gradients. Zbl 1122.65061Descombes, Stéphane; Dumont, Thierry; Louvet, Violaine; Massot, Marc 4 2007 Temporal convergence analysis of a locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media. Zbl 1375.78016Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 3 2017 High-order locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1284.78010Descombes, S.; Lanteri, S.; Moya, L. 3 2014 Schwarz waveform relaxation methods for systems of semilinear reaction-diffusion equations. Zbl 1217.65187Descombes, Stéphane; Dolean, Victorita; Gander, Martin J. 3 2011 An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations. Zbl 1426.78031Christophe, Alexandra; Descombes, Stéphane; Lanteri, Stéphane 2 2018 New resolution strategy for multi-scale reaction waves using time operator splitting and space adaptive multiresolution: application to human ischemic stroke. Zbl 1302.65211Duarte, Max; Massot, Marc; Descombes, Stéphane; Tenaud, Christian; Dumont, Thierry; Louvet, Violaine; Laurent, Frédérique 2 2011 Examples of the influence of the geometry on the propagation of progressive waves. Zbl 1171.35410Dronne, M. A.; Descombes, S.; Grenier, E.; Gilquin, H. 2 2009 An operator-theoretic proof of an estimate on the transfer operator. Zbl 0946.47026Descombes, Stéphane; Dia, Boun Oumar 2 1999 Operator splitting methods with error estimator and adaptive time-stepping. Application to the simulation of combustion phenomena. Zbl 1378.80006Descombes, Stéphane; Duarte, Max; Massot, Marc 1 2016 Adaptive time-space algorithms for the simulation of multi-scale reaction waves. Zbl 1246.65161Duarte, Max; Massot, Marc; Descombes, Stéphane; Dumont, Thierry 1 2011 Alternate directions of higher order in reaction-diffusion. Zbl 0844.35046Descombes, Stéphane; Schatzman, Michelle 1 1995 An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations. Zbl 1426.78031Christophe, Alexandra; Descombes, Stéphane; Lanteri, Stéphane 2 2018 Temporal convergence analysis of a locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media. Zbl 1375.78016Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 3 2017 Locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media applied to numerical dosimetry in biological tissues. Zbl 1351.35208Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 5 2016 Operator splitting methods with error estimator and adaptive time-stepping. Application to the simulation of combustion phenomena. Zbl 1378.80006Descombes, Stéphane; Duarte, Max; Massot, Marc 1 2016 Analysis of operator splitting in the nonasymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames. Zbl 1320.65080Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Laurent, Frédérique; Louvet, Violaine; Massot, Marc 5 2014 High-order locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1284.78010Descombes, S.; Lanteri, S.; Moya, L. 3 2014 Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1266.78030Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 15 2013 The Lie-Trotter splitting for nonlinear evolutionary problems with critical parameters: A compact local error representation and application to nonlinear Schrödinger equations in the semiclassical regime. Zbl 1266.65153Descombes, Stéphane; Thalhammer, Mechthild 11 2013 Simulation of human ischemic stroke in realistic 3D geometry. Zbl 1322.92019Dumont, Thierry; Duarte, Max; Descombes, Stéphane; Dronne, Marie-Aimée; Massot, Marc; Louvet, Violaine 6 2013 New resolution strategy for multiscale reaction waves using time operator splitting, space adaptive multiresolution, and dedicated high order implicit/explicit time integrators. Zbl 1243.65107Duarte, Max; Massot, Marc; Descombes, Stéphane; Tenaud, Christian; Dumont, Thierry; Louvet, Violaine; Laurent, Frédérique 8 2012 A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations. Zbl 1406.76063Duarte, Max; Bonaventura, Zdeněk; Massot, Marc; Bourdon, Anne; Descombes, Stéphane; Dumont, Thierry 5 2012 Adaptive time splitting method for multi-scale evolutionary partial differential equations. Zbl 1231.65153Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Louvet, Violaine; Massot, Marc 5 2011 Parareal operator splitting techniques for multi-scale reaction waves: numerical analysis and strategies. Zbl 1269.65089Duarte, Max; Massot, Marc; Descombes, Stéphane 4 2011 Schwarz waveform relaxation methods for systems of semilinear reaction-diffusion equations. Zbl 1217.65187Descombes, Stéphane; Dolean, Victorita; Gander, Martin J. 3 2011 New resolution strategy for multi-scale reaction waves using time operator splitting and space adaptive multiresolution: application to human ischemic stroke. Zbl 1302.65211Duarte, Max; Massot, Marc; Descombes, Stéphane; Tenaud, Christian; Dumont, Thierry; Louvet, Violaine; Laurent, Frédérique 2 2011 Adaptive time-space algorithms for the simulation of multi-scale reaction waves. Zbl 1246.65161Duarte, Max; Massot, Marc; Descombes, Stéphane; Dumont, Thierry 1 2011 An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical regime. Zbl 1205.65250Descombes, Stéphane; Thalhammer, Mechthild 9 2010 Splitting methods with complex times for parabolic equations. Zbl 1180.65106Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G. 32 2009 Examples of the influence of the geometry on the propagation of progressive waves. Zbl 1171.35410Dronne, M. A.; Descombes, S.; Grenier, E.; Gilquin, H. 2 2009 On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060Benzoni-Gavage, S.; Danchin, R.; Descombes, S. 44 2007 Stability issues in the Euler-Korteweg model. Zbl 1119.76029Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane; Jamet, Didier 6 2007 On the local and global errors of splitting approximations of reaction-diffusion equations with high spatial gradients. Zbl 1122.65061Descombes, Stéphane; Dumont, Thierry; Louvet, Violaine; Massot, Marc 4 2007 Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102Antoine, Xavier; Besse, Christophe; Descombes, Stephane 30 2006 Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane 17 2006 Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D. 23 2005 Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: Singular perturbation and order reduction. Zbl 1060.65105Descombes, Stéphane; Massot, Marc 19 2004 An integro-differential formulation for magnetic induction in bounded domains: Boundary element–finite volume method. Zbl 1106.76404Iskakov, A. B.; Descombes, S.; Dormy, E. 13 2004 Convergence of the Peaceman-Rachford approximation for reaction-diffusion systems. Zbl 1034.65077Descombes, Stéphane; Ribot, Magali 8 2003 Order estimates in time of splitting methods for the nonlinear Schrödinger equation. Zbl 1026.65073Besse, Christophe; Bidégaray, Brigitte; Descombes, Stéphane 49 2002 Strang’s formula for holomorphic semi-groups. Zbl 1030.35095Descombes, Stéphane; Schatzman, Michelle 10 2002 Convergence of a splitting method of high order for reaction-diffusion systems. Zbl 0981.65107Descombes, Stéphane 17 2001 An operator-theoretic proof of an estimate on the transfer operator. Zbl 0946.47026Descombes, Stéphane; Dia, Boun Oumar 2 1999 On Richardson extrapolation of Strang formula for reaction-diffusion equations. Zbl 0911.35059Descombes, Stéphane; Schatzman, Michelle 5 1998 Alternate directions of higher order in reaction-diffusion. Zbl 0844.35046Descombes, Stéphane; Schatzman, Michelle 1 1995 all cited Publications top 5 cited Publications all top 5 Cited by 460 Authors 12 Ostermann, Alexander 10 Descombes, Stéphane 9 Koch, Othmar 9 Massot, Marc 9 Thalhammer, Mechthild 8 Antoine, Xavier 8 Auzinger, Winfried 7 Blanes, Sergio 6 Bao, Weizhu 6 Bresch, Didier 6 Hansen, Eskil 6 Mai Duc Thanh 6 Zheng, Chunxiong 5 Audiard, Corentin 5 Besse, Christophe 5 Carles, Rémi 5 Chartier, Philippe 5 Einkemmer, Lukas 5 Haspot, Boris 5 Lorin, Emmanuel 4 Antonelli, Paolo 4 Dujardin, Guillaume Michel 4 Freistühler, Heinrich 4 Hofstätter, Harald 4 Kotschote, Matthias 4 Lanteri, Stéphane 4 Seydaoğlu, Muaz 4 Wang, Tingchun 3 Casas, Fernando 3 Dikhaminjia, Nana 3 Duarte, Max 3 Dumont, Thierry 3 Faou, Erwan 3 Gerbeth, Gunter 3 Giesselmann, Jan 3 Grote, Marcus J. 3 Hiep, Nguyen Huu 3 Hochbruck, Marlis 3 Mehlin, Michaela 3 Michoski, C. E. 3 Rogava, Jemal L. 3 Spirito, Stefano 3 Stefani, Frank 3 Tsiklauri, Mikheil 3 Tzavaras, Athanasios E. 3 Wang, Yushun 2 Bader, Philipp 2 Balac, Stéphane 2 Banerjee, Sandip 2 Belaouar, Radoin 2 Bethuel, Fabrice 2 Bonaventura, Zdeněk 2 Boronski, Piotr 2 Bourdon, Anne 2 Cai, Yongyong 2 Castella, François 2 Colin, Thierry 2 Dawson, Clint N. 2 Desjardins, Benoît 2 Dreyer, Wolfgang 2 Du, Qiang 2 Duboscq, Romain 2 Erdoğan, Utku 2 Evans, James Arthur 2 Faragó, István 2 Gao, Guanghua 2 Geiser, Jürgen 2 Gisclon, Marguerite 2 Gradinaru, Vasile 2 Guo, Boling 2 Han, Houde 2 Havasi, Ágnes 2 Höwing, Johannes 2 Hu, Yunxia 2 Huy, Nguyen Dinh 2 Imperiale, Sébastien 2 Jahnke, Tobias 2 Kraus, Christiane 2 Kröner, Dietmar 2 Kvaerno, Anne 2 Lacroix-Violet, Ingrid 2 Lattanzio, Corrado 2 Laurent, Frédérique 2 Léorat, Jacques 2 Li, Haochen 2 Li, Hongwei 2 Louvet, Violaine 2 Mahé, Fabrice 2 Martín-Vaquero, Jesús 2 Méhats, Florian 2 Moya, Ludovic 2 Murua, Ander 2 Neuhauser, Christof 2 Noble, Pascal 2 O’Sullivan, Stephen 2 Petzold, Linda Ruth 2 Schmitz, Phillip G. 2 Schnaubelt, Roland 2 Schratz, Katharina 2 Singh, Teekam ...and 360 more Authors all top 5 Cited in 84 Serials 55 Journal of Computational Physics 15 Journal of Computational and Applied Mathematics 12 Applied Numerical Mathematics 11 Mathematics of Computation 9 Applied Mathematics and Computation 9 Numerische Mathematik 8 BIT 8 Journal of Scientific Computing 8 SIAM Journal on Scientific Computing 6 Computers & Mathematics with Applications 6 SIAM Journal on Numerical Analysis 6 Numerical Algorithms 5 Computer Methods in Applied Mechanics and Engineering 5 Journal of Mathematical Analysis and Applications 5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Archive for Rational Mechanics and Analysis 4 Journal of Differential Equations 3 Journal of Functional Analysis 3 Mathematics and Computers in Simulation 3 Physica D 3 International Journal of Computer Mathematics 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Nonlinear Analysis. Real World Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Applicable Analysis 2 Computers and Fluids 2 Mathematical Methods in the Applied Sciences 2 Quarterly of Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 Mathematical and Computer Modelling 2 Calculus of Variations and Partial Differential Equations 2 Confluentes Mathematici 2 International Journal of Differential Equations 1 Communications in Mathematical Physics 1 Communications on Pure and Applied Mathematics 1 Geophysical and Astrophysical Fluid Dynamics 1 Journal d’Analyse Mathématique 1 Theoretical and Computational Fluid Dynamics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Calcolo 1 International Journal for Numerical Methods in Engineering 1 Mathematische Annalen 1 Numerical Functional Analysis and Optimization 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Optimization 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Applied Mathematics 1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 SIAM Journal on Applied Mathematics 1 SIAM Journal on Mathematical Analysis 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Georgian Mathematical Journal 1 Computing and Visualization in Science 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. B. Fluids 1 Interfaces and Free Boundaries 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Combustion Theory and Modelling 1 Journal of Biological Systems 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Computational Methods in Applied Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 Journal of Hyperbolic Differential Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Frontiers of Mathematics in China 1 Electronic Research Announcements in Mathematical Sciences 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 SMAI Journal of Computational Mathematics 1 Annales Henri Lebesgue 1 Communications on Applied Mathematics and Computation all top 5 Cited in 25 Fields 190 Numerical analysis (65-XX) 181 Partial differential equations (35-XX) 75 Fluid mechanics (76-XX) 21 Quantum theory (81-XX) 17 Optics, electromagnetic theory (78-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Ordinary differential equations (34-XX) 12 Classical thermodynamics, heat transfer (80-XX) 12 Statistical mechanics, structure of matter (82-XX) 10 Biology and other natural sciences (92-XX) 9 Operator theory (47-XX) 8 Probability theory and stochastic processes (60-XX) 5 Functional analysis (46-XX) 4 Astronomy and astrophysics (85-XX) 3 Real functions (26-XX) 3 Integral equations (45-XX) 3 Mechanics of deformable solids (74-XX) 2 Approximations and expansions (41-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year