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## Descombes, Stéphane

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 Author ID: descombes.stephane Published as: Descombes, S.; Descombes, Stephane; Descombes, Stéphane
 Documents Indexed: 42 Publications since 1995, including 1 Book
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#### 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
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#### 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
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#### 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)

#### 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 1026.65073
Besse, Christophe; Bidégaray, Brigitte; Descombes, Stéphane
2002
On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.
2007
Splitting methods with complex times for parabolic equations. Zbl 1180.65106
Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G.
2009
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102
Antoine, Xavier; Besse, Christophe; Descombes, Stephane
2006
Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D.
2005
Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: Singular perturbation and order reduction. Zbl 1060.65105
Descombes, Stéphane; Massot, Marc
2004
Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane
2006
Convergence of a splitting method of high order for reaction-diffusion systems. Zbl 0981.65107
Descombes, Stéphane
2001
Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1266.78030
Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic
2013
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.
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
2013
Strang’s formula for holomorphic semi-groups. Zbl 1030.35095
Descombes, Stéphane; Schatzman, Michelle
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 1205.65250
Descombes, Stéphane; Thalhammer, Mechthild
2010
New resolution strategy for multiscale reaction waves using time operator splitting, space adaptive multiresolution, and dedicated high order implicit/explicit time integrators. Zbl 1243.65107
Duarte, Max; Massot, Marc; Descombes, Stéphane; Tenaud, Christian; Dumont, Thierry; Louvet, Violaine; Laurent, Frédérique
2012
Convergence of the Peaceman-Rachford approximation for reaction-diffusion systems. Zbl 1034.65077
Descombes, Stéphane; Ribot, Magali
2003
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
2013
Stability issues in the Euler-Korteweg model. Zbl 1119.76029
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane; Jamet, Didier
2007
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
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
2014
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
2012
Adaptive time splitting method for multi-scale evolutionary partial differential equations. Zbl 1231.65153
Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Louvet, Violaine; Massot, Marc
2011
On Richardson extrapolation of Strang formula for reaction-diffusion equations. Zbl 0911.35059
Descombes, Stéphane; Schatzman, Michelle
1998
Parareal operator splitting techniques for multi-scale reaction waves: numerical analysis and strategies. Zbl 1269.65089
Duarte, Max; Massot, Marc; Descombes, Stéphane
2011
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
2007
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
2017
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.
2014
Schwarz waveform relaxation methods for systems of semilinear reaction-diffusion equations. Zbl 1217.65187
Descombes, Stéphane; Dolean, Victorita; Gander, Martin J.
2011
An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations. Zbl 1426.78031
Christophe, Alexandra; Descombes, Stéphane; Lanteri, Stéphane
2018
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
2011
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.
2009
An operator-theoretic proof of an estimate on the transfer operator. Zbl 0946.47026
Descombes, Stéphane; Dia, Boun Oumar
1999
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
2016
Adaptive time-space algorithms for the simulation of multi-scale reaction waves. Zbl 1246.65161
Duarte, Max; Massot, Marc; Descombes, Stéphane; Dumont, Thierry
2011
Alternate directions of higher order in reaction-diffusion. Zbl 0844.35046
Descombes, Stéphane; Schatzman, Michelle
1995
An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations. Zbl 1426.78031
Christophe, Alexandra; Descombes, Stéphane; Lanteri, Stéphane
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
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
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
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
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.
2014
Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1266.78030
Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic
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
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
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
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
2012
Adaptive time splitting method for multi-scale evolutionary partial differential equations. Zbl 1231.65153
Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Louvet, Violaine; Massot, Marc
2011
Parareal operator splitting techniques for multi-scale reaction waves: numerical analysis and strategies. Zbl 1269.65089
Duarte, Max; Massot, Marc; Descombes, Stéphane
2011
Schwarz waveform relaxation methods for systems of semilinear reaction-diffusion equations. Zbl 1217.65187
Descombes, Stéphane; Dolean, Victorita; Gander, Martin J.
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
2011
Adaptive time-space algorithms for the simulation of multi-scale reaction waves. Zbl 1246.65161
Duarte, Max; Massot, Marc; Descombes, Stéphane; Dumont, Thierry
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
2010
Splitting methods with complex times for parabolic equations. Zbl 1180.65106
Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G.
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.
2009
On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.
2007
Stability issues in the Euler-Korteweg model. Zbl 1119.76029
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane; Jamet, Didier
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
2007
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102
Antoine, Xavier; Besse, Christophe; Descombes, Stephane
2006
Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane
2006
Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.; Jamet, D.
2005
Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: Singular perturbation and order reduction. Zbl 1060.65105
Descombes, Stéphane; Massot, Marc
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.
2004
Convergence of the Peaceman-Rachford approximation for reaction-diffusion systems. Zbl 1034.65077
Descombes, Stéphane; Ribot, Magali
2003
Order estimates in time of splitting methods for the nonlinear Schrödinger equation. Zbl 1026.65073
Besse, Christophe; Bidégaray, Brigitte; Descombes, Stéphane
2002
Strang’s formula for holomorphic semi-groups. Zbl 1030.35095
Descombes, Stéphane; Schatzman, Michelle
2002
Convergence of a splitting method of high order for reaction-diffusion systems. Zbl 0981.65107
Descombes, Stéphane
2001
An operator-theoretic proof of an estimate on the transfer operator. Zbl 0946.47026
Descombes, Stéphane; Dia, Boun Oumar
1999
On Richardson extrapolation of Strang formula for reaction-diffusion equations. Zbl 0911.35059
Descombes, Stéphane; Schatzman, Michelle
1998
Alternate directions of higher order in reaction-diffusion. Zbl 0844.35046
Descombes, Stéphane; Schatzman, Michelle
1995
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#### 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
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#### 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
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#### 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)