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Descombes, Stéphane

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Author ID: descombes.stephane Recent zbMATH articles by "Descombes, Stéphane"
Published as: Descombes, S.; Descombes, Stephane; Descombes, Stéphane
Documents Indexed: 42 Publications since 1995, including 1 Book

Publications by Year

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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
49
2002
On the well-posedness for the Euler-Korteweg model in several space dimensions. Zbl 1125.76060
Benzoni-Gavage, S.; Danchin, R.; Descombes, S.
44
2007
Splitting methods with complex times for parabolic equations. Zbl 1180.65106
Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G.
32
2009
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations. Zbl 1109.35102
Antoine, Xavier; Besse, Christophe; Descombes, Stephane
30
2006
Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056
Benzoni-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 1060.65105
Descombes, Stéphane; Massot, Marc
19
2004
Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane
17
2006
Convergence of a splitting method of high order for reaction-diffusion systems. Zbl 0981.65107
Descombes, Stéphane
17
2001
Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1266.78030
Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic
15
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.
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 1266.65153
Descombes, Stéphane; Thalhammer, Mechthild
11
2013
Strang’s formula for holomorphic semi-groups. Zbl 1030.35095
Descombes, 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 1205.65250
Descombes, 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 1243.65107
Duarte, 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 1034.65077
Descombes, Stéphane; Ribot, Magali
8
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
6
2013
Stability issues in the Euler-Korteweg model. Zbl 1119.76029
Benzoni-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 1351.35208
Descombes, 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 1320.65080
Descombes, 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 1406.76063
Duarte, 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 1231.65153
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
Parareal operator splitting techniques for multi-scale reaction waves: numerical analysis and strategies. Zbl 1269.65089
Duarte, 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 1122.65061
Descombes, 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 1375.78016
Descombes, Stéphane; Lanteri, Stéphane; Moya, Ludovic
3
2017
High-order locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1284.78010
Descombes, S.; Lanteri, S.; Moya, L.
3
2014
Schwarz waveform relaxation methods for systems of semilinear reaction-diffusion equations. Zbl 1217.65187
Descombes, Stéphane; Dolean, Victorita; Gander, Martin J.
3
2011
An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations. Zbl 1426.78031
Christophe, 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 1302.65211
Duarte, 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 1171.35410
Dronne, M. A.; Descombes, S.; Grenier, E.; Gilquin, H.
2
2009
An operator-theoretic proof of an estimate on the transfer operator. Zbl 0946.47026
Descombes, Stéphane; Dia, Boun Oumar
2
1999
Operator splitting methods with error estimator and adaptive time-stepping. Application to the simulation of combustion phenomena. Zbl 1378.80006
Descombes, Stéphane; Duarte, Max; Massot, Marc
1
2016
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
Alternate directions of higher order in reaction-diffusion. Zbl 0844.35046
Descombes, Stéphane; Schatzman, Michelle
1
1995
An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations. Zbl 1426.78031
Christophe, 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 1375.78016
Descombes, 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 1351.35208
Descombes, 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 1378.80006
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
5
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.
3
2014
Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations. Zbl 1266.78030
Descombes, 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 1266.65153
Descombes, Stéphane; Thalhammer, Mechthild
11
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
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 1243.65107
Duarte, 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 1406.76063
Duarte, 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 1231.65153
Descombes, 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 1269.65089
Duarte, Max; Massot, Marc; Descombes, Stéphane
4
2011
Schwarz waveform relaxation methods for systems of semilinear reaction-diffusion equations. Zbl 1217.65187
Descombes, 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 1302.65211
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
9
2010
Splitting methods with complex times for parabolic equations. Zbl 1180.65106
Castella, F.; Chartier, P.; Descombes, S.; Vilmart, G.
32
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.
44
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
30
2006
Well-posedness of one-dimensional Korteweg models. Zbl 1114.76058
Benzoni-Gavage, Sylvie; Danchin, Raphaël; Descombes, Stéphane
17
2006
Structure of Korteweg models and stability of diffuse interfaces. Zbl 1106.35056
Benzoni-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 1060.65105
Descombes, Stéphane; Massot, Marc
19
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.
13
2004
Convergence of the Peaceman-Rachford approximation for reaction-diffusion systems. Zbl 1034.65077
Descombes, Stéphane; Ribot, Magali
8
2003
Order estimates in time of splitting methods for the nonlinear Schrödinger equation. Zbl 1026.65073
Besse, Christophe; Bidégaray, Brigitte; Descombes, Stéphane
49
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
17
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. Zbl 0844.35046
Descombes, Stéphane; Schatzman, Michelle
1
1995
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

Citations by Year