Edit Profile (opens in new tab) Descombes, Stéphane Co-Author Distance Author ID: descombes.stephane Published as: Descombes, Stéphane; Descombes, S.; Descombes, Stephane more...less Documents Indexed: 43 Publications since 1995, including 1 Additional arXiv Preprint 1 Contribution as Editor Co-Authors: 42 Co-Authors with 43 Joint Publications 956 Co-Co-Authors all top 5 Co-Authors 1 single-authored 14 Massot, Marc 11 Duarte, Max 9 Dumont, Thierry 8 Louvet, Violaine 7 Lanteri, Stéphane 6 Benzoni-Gavage, Sylvie 5 Danchin, Raphaël 4 Moya, Ludovic 3 Besse, Christophe 3 Jamet, Didier 3 Laurent, Frédérique 3 Schatzman, Michelle 2 Christophe, Alexandra 2 Dronne, Marie-Aimée 2 Moussaoui, Mohand-Arezki 2 Nehmetallah, Georges 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 Chaumont-Frelet, Théophile 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 32 Partial differential equations (35-XX) 27 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 6 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 Open 37 Publications have been cited 560 times in 423 Documents Cited by ▼ Year ▼ Order estimates in time of splitting methods for the nonlinear Schrödinger equation. Zbl 1026.65073 Besse, Christophe; Bidégaray, Brigitte; Descombes, Stéphane 84 2002 On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060 Benzoni-Gavage, S.; Danchin, R.; Descombes, S. 67 2007 Splitting methods with complex times for parabolic equations. Zbl 1180.65106 Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G. 46 2009 Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102 Antoine, Xavier; Besse, Christophe; Descombes, Stephane 40 2006 Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056 Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D. 35 2005 Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058 Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane 27 2006 Convergence of a splitting method of high order for reaction-diffusion systems. Zbl 0981.65107 Descombes, Stéphane 27 2001 Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: Singular perturbation and order reduction. Zbl 1060.65105 Descombes, Stéphane; Massot, Marc 21 2004 Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1266.78030 Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 21 2013 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 1205.65250 Descombes, Stéphane; Thalhammer, Mechthild 19 2010 An integro-differential formulation for magnetic induction in bounded domains: Boundary element–finite volume method. Zbl 1106.76404 Iskakov, A. B.; Descombes, S.; Dormy, E. 18 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 1266.65153 Descombes, Stéphane; Thalhammer, Mechthild 15 2013 Energy-preserving methods for nonlinear Schrödinger equations. Zbl 1460.65099 Besse, Christophe; Descombes, Stéphane; Dujardin, Guillaume; Lacroix-Violet, Ingrid 13 2021 New resolution strategy for multiscale reaction waves using time operator splitting, space adaptive multiresolution, and dedicated high order implicit/explicit time integrators. Zbl 1243.65107 Duarte, Max; Massot, Marc; Descombes, Stéphane; Tenaud, Christian; Dumont, Thierry; Louvet, Violaine; Laurent, Frédérique 11 2012 Convergence of the Peaceman-Rachford approximation for reaction-diffusion systems. Zbl 1034.65077 Descombes, Stéphane; Ribot, Magali 10 2003 Strang’s formula for holomorphic semi-groups. Zbl 1030.35095 Descombes, Stéphane; Schatzman, Michelle 10 2002 Analysis of operator splitting in the nonasymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames. Zbl 1320.65080 Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Laurent, Frédérique; Louvet, Violaine; Massot, Marc 10 2014 Simulation of human ischemic stroke in realistic 3D geometry. Zbl 1322.92019 Dumont, Thierry; Duarte, Max; Descombes, Stéphane; Dronne, Marie-Aimée; Massot, Marc; Louvet, Violaine 10 2013 An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations. Zbl 1426.78031 Christophe, Alexandra; Descombes, Stéphane; Lanteri, Stéphane 10 2018 A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations. Zbl 1406.76063 Duarte, Max; Bonaventura, Zdeněk; Massot, Marc; Bourdon, Anne; Descombes, Stéphane; Dumont, Thierry 7 2012 Locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media applied to numerical dosimetry in biological tissues. Zbl 1351.35208 Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 7 2016 Stability issues in the Euler-Korteweg model. Zbl 1119.76029 Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane; Jamet, Didier 6 2007 Parareal operator splitting techniques for multi-scale reaction waves: numerical analysis and strategies. Zbl 1269.65089 Duarte, Max; Massot, Marc; Descombes, Stéphane 6 2011 Schwarz waveform relaxation methods for systems of semilinear reaction-diffusion equations. Zbl 1217.65187 Descombes, Stéphane; Dolean, Victorita; Gander, Martin J. 5 2011 Adaptive time splitting method for multi-scale evolutionary partial differential equations. Zbl 1231.65153 Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Louvet, Violaine; Massot, Marc 5 2011 On Richardson extrapolation of Strang formula for reaction-diffusion equations. Zbl 0911.35059 Descombes, Stéphane; Schatzman, Michelle 5 1998 Temporal convergence analysis of a locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media. Zbl 1375.78016 Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 5 2017 On the local and global errors of splitting approximations of reaction-diffusion equations with high spatial gradients. Zbl 1122.65061 Descombes, Stéphane; Dumont, Thierry; Louvet, Violaine; Massot, Marc 4 2007 Alternate directions of higher order in reaction-diffusion. (Directions alternées d’ordre élévé en réaction-diffusion.) Zbl 0844.35046 Descombes, Stéphane; Schatzman, Michelle 2 1995 New resolution strategy for multi-scale reaction waves using time operator splitting and space adaptive multiresolution: application to human ischemic stroke. Zbl 1302.65211 Duarte, Max; Massot, Marc; Descombes, Stéphane; Tenaud, Christian; Dumont, Thierry; Louvet, Violaine; Laurent, Frédérique 2 2011 An operator-theoretic proof of an estimate on the transfer operator. Zbl 0946.47026 Descombes, Stéphane; Dia, Boun Oumar 2 1999 Examples of the influence of the geometry on the propagation of progressive waves. Zbl 1171.35410 Dronne, M. A.; Descombes, S.; Grenier, E.; Gilquin, H. 2 2009 An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations. Zbl 1484.65231 Nehmetallah, Georges; Lanteri, Stéphane; Descombes, Stéphane; Christophe, Alexandra 2 2020 High-order locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1284.78010 Descombes, S.; Lanteri, S.; Moya, L. 2 2014 Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures. Zbl 1416.65184 Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Guillet, Thomas; Louvet, Violaine; Massot, Marc 2 2017 Adaptive time-space algorithms for the simulation of multi-scale reaction waves. Zbl 1246.65161 Duarte, Max; Massot, Marc; Descombes, Stéphane; Dumont, Thierry 1 2011 Operator splitting methods with error estimator and adaptive time-stepping. Application to the simulation of combustion phenomena. Zbl 1378.80006 Descombes, Stéphane; Duarte, Max; Massot, Marc 1 2016 Energy-preserving methods for nonlinear Schrödinger equations. Zbl 1460.65099 Besse, Christophe; Descombes, Stéphane; Dujardin, Guillaume; Lacroix-Violet, Ingrid 13 2021 An explicit hybridizable discontinuous Galerkin method for the 3D time-domain Maxwell equations. Zbl 1484.65231 Nehmetallah, Georges; Lanteri, Stéphane; Descombes, Stéphane; Christophe, Alexandra 2 2020 An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations. Zbl 1426.78031 Christophe, Alexandra; Descombes, Stéphane; Lanteri, Stéphane 10 2018 Temporal convergence analysis of a locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media. Zbl 1375.78016 Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 5 2017 Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures. Zbl 1416.65184 Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Guillet, Thomas; Louvet, Violaine; Massot, Marc 2 2017 Locally implicit discontinuous Galerkin time domain method for electromagnetic wave propagation in dispersive media applied to numerical dosimetry in biological tissues. Zbl 1351.35208 Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 7 2016 Operator splitting methods with error estimator and adaptive time-stepping. Application to the simulation of combustion phenomena. Zbl 1378.80006 Descombes, 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 1320.65080 Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Laurent, Frédérique; Louvet, Violaine; Massot, Marc 10 2014 High-order locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1284.78010 Descombes, S.; Lanteri, S.; Moya, L. 2 2014 Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1266.78030 Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic 21 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 1266.65153 Descombes, Stéphane; Thalhammer, Mechthild 15 2013 Simulation of human ischemic stroke in realistic 3D geometry. Zbl 1322.92019 Dumont, Thierry; Duarte, Max; Descombes, Stéphane; Dronne, Marie-Aimée; Massot, Marc; Louvet, Violaine 10 2013 New resolution strategy for multiscale reaction waves using time operator splitting, space adaptive multiresolution, and dedicated high order implicit/explicit time integrators. Zbl 1243.65107 Duarte, Max; Massot, Marc; Descombes, Stéphane; Tenaud, Christian; Dumont, Thierry; Louvet, Violaine; Laurent, Frédérique 11 2012 A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations. Zbl 1406.76063 Duarte, Max; Bonaventura, Zdeněk; Massot, Marc; Bourdon, Anne; Descombes, Stéphane; Dumont, Thierry 7 2012 Parareal operator splitting techniques for multi-scale reaction waves: numerical analysis and strategies. Zbl 1269.65089 Duarte, Max; Massot, Marc; Descombes, Stéphane 6 2011 Schwarz waveform relaxation methods for systems of semilinear reaction-diffusion equations. Zbl 1217.65187 Descombes, Stéphane; Dolean, Victorita; Gander, Martin J. 5 2011 Adaptive time splitting method for multi-scale evolutionary partial differential equations. Zbl 1231.65153 Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Louvet, Violaine; Massot, Marc 5 2011 New resolution strategy for multi-scale reaction waves using time operator splitting and space adaptive multiresolution: application to human ischemic stroke. Zbl 1302.65211 Duarte, 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 1246.65161 Duarte, 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 1205.65250 Descombes, Stéphane; Thalhammer, Mechthild 19 2010 Splitting methods with complex times for parabolic equations. Zbl 1180.65106 Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G. 46 2009 Examples of the influence of the geometry on the propagation of progressive waves. Zbl 1171.35410 Dronne, M. A.; Descombes, S.; Grenier, E.; Gilquin, H. 2 2009 On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060 Benzoni-Gavage, S.; Danchin, R.; Descombes, S. 67 2007 Stability issues in the Euler-Korteweg model. Zbl 1119.76029 Benzoni-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 1122.65061 Descombes, Stéphane; Dumont, Thierry; Louvet, Violaine; Massot, Marc 4 2007 Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102 Antoine, Xavier; Besse, Christophe; Descombes, Stephane 40 2006 Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058 Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane 27 2006 Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056 Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D. 35 2005 Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: Singular perturbation and order reduction. Zbl 1060.65105 Descombes, Stéphane; Massot, Marc 21 2004 An integro-differential formulation for magnetic induction in bounded domains: Boundary element–finite volume method. Zbl 1106.76404 Iskakov, A. B.; Descombes, S.; Dormy, E. 18 2004 Convergence of the Peaceman-Rachford approximation for reaction-diffusion systems. Zbl 1034.65077 Descombes, Stéphane; Ribot, Magali 10 2003 Order estimates in time of splitting methods for the nonlinear Schrödinger equation. Zbl 1026.65073 Besse, Christophe; Bidégaray, Brigitte; Descombes, Stéphane 84 2002 Strang’s formula for holomorphic semi-groups. Zbl 1030.35095 Descombes, Stéphane; Schatzman, Michelle 10 2002 Convergence of a splitting method of high order for reaction-diffusion systems. Zbl 0981.65107 Descombes, Stéphane 27 2001 An operator-theoretic proof of an estimate on the transfer operator. Zbl 0946.47026 Descombes, Stéphane; Dia, Boun Oumar 2 1999 On Richardson extrapolation of Strang formula for reaction-diffusion equations. Zbl 0911.35059 Descombes, Stéphane; Schatzman, Michelle 5 1998 Alternate directions of higher order in reaction-diffusion. (Directions alternées d’ordre élévé en réaction-diffusion.) Zbl 0844.35046 Descombes, Stéphane; Schatzman, Michelle 2 1995 all cited Publications top 5 cited Publications all top 5 Cited by 667 Authors 16 Ostermann, Alexander 13 Massot, Marc 12 Bao, Weizhu 12 Blanes, Sergio 11 Antoine, Xavier 11 Thalhammer, Mechthild 10 Descombes, Stéphane 9 Casas, Fernando 9 Koch, Othmar 8 Auzinger, Winfried 8 Carles, Rémi 8 Schratz, Katharina 7 Antonelli, Paolo 7 Audiard, Corentin 7 Bresch, Didier 7 Mai Duc Thanh 6 Besse, Christophe 6 Chartier, Philippe 6 Gerbeth, Gunter 6 Hansen, Eskil 6 Lorin, Emmanuel 6 Stefani, Frank 6 Wang, Tingchun 6 Zheng, Chunxiong 5 Danchin, Raphaël 5 Dujardin, Guillaume Michel 5 Einkemmer, Lukas 5 Escorihuela-Tomàs, Alejandro 5 Grote, Marcus J. 5 Haspot, Boris 5 Lanteri, Stéphane 5 Su, Chunmei 5 Tang, Qinglin 5 Wang, Yushun 4 Cai, Yongyong 4 Dumont, Thierry 4 Ehrhardt, Matthias 4 Freistühler, Heinrich 4 Graille, Benjamin 4 Hofstätter, Harald 4 Imperiale, Sébastien 4 Kotschote, Matthias 4 Léorat, Jacques 4 Seydaoğlu, Muaz 4 Spirito, Stefano 3 Bellotti, Thomas 3 Dikhaminjia, Nana 3 Duarte, Max 3 Ducomet, Bernard 3 Faou, Erwan 3 Fish, Jacob 3 Giesecke, André 3 Giesselmann, Jan 3 Gouarin, Loïc 3 Gradinaru, Vasile 3 Guermond, Jean-Luc 3 Guo, Boling 3 Hiep, Nguyen Huu 3 Hochbruck, Marlis 3 Jahnke, Tobias 3 La Spina, Andrea 3 Lacroix-Violet, Ingrid 3 Liu, Chun 3 Marcati, Pierangelo 3 Matrasulov, D. U. 3 Mehlin, Michaela 3 Nore, Caroline 3 Rogava, Jemal L. 3 Rousset, Frédéric 3 Sacchetti, Andrea 3 Sauter, Stefan 3 Sun, Zhizhong 3 Tsiklauri, Mikheil 3 Tzavaras, Athanasios E. 3 Vila, Jean-Paul 3 Wang, Cheng 3 Wang, Jialing 3 Wang, Yiwei 3 Xu, Jiang 3 Xu, Mingtian 3 Yao, Fangyan 3 Yusupov, J. R. 3 Zhang, Jiwei 3 Zheng, Hao 2 Abdulle, Assyr 2 Bader, Philipp 2 Balac, Stéphane 2 Banerjee, Sandip 2 Barbieri, Luca 2 Belaouar, Radoin 2 Bernier, Joackim 2 Bethuel, Fabrice 2 Bonaventura, Zdeněk 2 Boronski, Piotr 2 Bourdon, Anne 2 Castella, François 2 Chabassier, Juliette 2 Charve, Frédéric 2 Choi, Woocheol 2 Chrysafinos, Konstantinos ...and 567 more Authors all top 5 Cited in 122 Serials 69 Journal of Computational Physics 17 Mathematics of Computation 17 Journal of Computational and Applied Mathematics 15 Journal of Scientific Computing 14 SIAM Journal on Numerical Analysis 13 Applied Numerical Mathematics 11 Computers & Mathematics with Applications 11 Applied Mathematics and Computation 11 BIT 11 Numerische Mathematik 11 SIAM Journal on Scientific Computing 10 Computer Methods in Applied Mechanics and Engineering 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 7 Journal of Mathematical Analysis and Applications 6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Numerical Algorithms 5 Archive for Rational Mechanics and Analysis 5 Geophysical and Astrophysical Fluid Dynamics 5 Journal of Differential Equations 5 International Journal of Computer Mathematics 5 Discrete and Continuous Dynamical Systems. Series B 4 Numerical Methods for Partial Differential Equations 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Foundations of Computational Mathematics 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Mathematical Methods in the Applied Sciences 3 Physics Letters. A 3 Journal of Functional Analysis 3 Mathematics and Computers in Simulation 3 Physica D 3 Journal of Mathematical Fluid Mechanics 3 Nonlinear Analysis. Real World Applications 3 Advances in Applied Mathematics and Mechanics 3 SMAI Journal of Computational Mathematics 2 Applicable Analysis 2 Computers and Fluids 2 Communications in Mathematical Physics 2 Computer Physics Communications 2 Calcolo 2 Quarterly of Applied Mathematics 2 Zeitschrift für Analysis und ihre Anwendungen 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Mathematical and Computer Modelling 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Computing and Visualization in Science 2 Combustion Theory and Modelling 2 Computational Methods in Applied Mathematics 2 Journal of Hyperbolic Differential Equations 2 International Journal of Numerical Analysis and Modeling 2 Communications in Computational Physics 2 Confluentes Mathematici 2 International Journal of Differential Equations 2 Journal of Computational Dynamics 2 Mathematics in Engineering 2 Annales Henri Lebesgue 1 Communications on Pure and Applied Mathematics 1 Journal d’Analyse Mathématique 1 Nonlinearity 1 Theoretical and Computational Fluid Dynamics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 International Journal for Numerical Methods in Engineering 1 Mathematische Annalen 1 Numerical Functional Analysis and Optimization 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Optimization 1 Applied Mathematics Letters 1 SIAM Journal on Matrix Analysis and Applications 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 Annals of Physics 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 Journal of Dynamics and Differential Equations 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Journal of Nonlinear Science 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 Computational and Applied Mathematics 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Georgian Mathematical Journal 1 Advances in Computational Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Journal of Inequalities and Applications 1 European Journal of Mechanics. B. Fluids 1 Journal of Mathematical Study 1 Interfaces and Free Boundaries 1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics 1 Communications in Nonlinear Science and Numerical Simulation 1 Computational Geosciences 1 Journal of Biological Systems 1 Journal of Evolution Equations 1 Communications on Pure and Applied Analysis ...and 22 more Serials all top 5 Cited in 35 Fields 289 Numerical analysis (65-XX) 286 Partial differential equations (35-XX) 125 Fluid mechanics (76-XX) 38 Quantum theory (81-XX) 30 Optics, electromagnetic theory (78-XX) 20 Dynamical systems and ergodic theory (37-XX) 18 Statistical mechanics, structure of matter (82-XX) 17 Ordinary differential equations (34-XX) 17 Classical thermodynamics, heat transfer (80-XX) 13 Biology and other natural sciences (92-XX) 11 Operator theory (47-XX) 11 Probability theory and stochastic processes (60-XX) 6 Mechanics of deformable solids (74-XX) 6 Astronomy and astrophysics (85-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 5 Geophysics (86-XX) 4 Functional analysis (46-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year