Order estimates in time of splitting methods for the nonlinear Schrödinger equation C Besse, B Bidégaray, S Descombes SIAM Journal on Numerical Analysis 40 (1), 26-40, 2002 | 239 | 2002 |
On the well-posedness for the Euler-Korteweg model in several space dimensions S Benzoni-Gavage, R Danchin, S Descombes Indiana University mathematics journal, 1499-1579, 2007 | 144 | 2007 |
Splitting methods with complex times for parabolic equations F Castella, P Chartier, S Descombes, G Vilmart BIT Numerical Mathematics 49, 487-508, 2009 | 122 | 2009 |
Artificial boundary conditions for one-dimensional cubic nonlinear Schrödinger equations X Antoine, C Besse, S Descombes SIAM journal on numerical analysis 43 (6), 2272-2293, 2006 | 111 | 2006 |
Structure of Korteweg models and stability of diffuse interfaces S Benzoni-Gavage, R Danchin, S Descombes, D Jamet Interfaces and free boundaries 7 (4), 371-414, 2005 | 108 | 2005 |
Operator splitting for nonlinear reaction-diffusion systems with an entropic structure: singular perturbation and order reduction S Descombes, M Massot Numerische Mathematik 97, 667-698, 2004 | 99 | 2004 |
Convergence of a splitting method of high order for reaction-diffusion systems S Descombes Mathematics of Computation 70 (236), 1481-1501, 2001 | 93 | 2001 |
Well-posedness of one-dimensional Korteweg models. S Benzoni-Gavage, R Danchin, S Descombes Electronic Journal of Differential Equations (EJDE)[electronic only] 2006 …, 2006 | 82 | 2006 |
Locally implicit time integration strategies in a discontinuous Galerkin method for Maxwell’s equations S Descombes, S Lanteri, L Moya Journal of Scientific Computing 56, 190-218, 2013 | 72 | 2013 |
An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical … S Descombes, M Thalhammer BIT Numerical Mathematics 50 (4), 729-749, 2010 | 72 | 2010 |
An integro-differential formulation for magnetic induction in bounded domains: boundary element–finite volume method AB Iskakov, S Descombes, E Dormy Journal of Computational Physics 197 (2), 540-554, 2004 | 69 | 2004 |
New resolution strategy for multiscale reaction waves using time operator splitting, space adaptive multiresolution, and dedicated high order implicit/explicit time integrators M Duarte, M Massot, S Descombes, C Tenaud, T Dumont, V Louvet, ... SIAM Journal on Scientific Computing 34 (1), A76-A104, 2012 | 63 | 2012 |
The Lie–Trotter splitting for nonlinear evolutionary problems with critical parameters: a compact local error representation and application to nonlinear Schrödinger equations … S Descombes, M Thalhammer IMA Journal of Numerical Analysis 33 (2), 722-745, 2013 | 55 | 2013 |
A new numerical strategy with space-time adaptivity and error control for multi-scale streamer discharge simulations M Duarte, Z Bonaventura, M Massot, A Bourdon, S Descombes, T Dumont Journal of Computational Physics 231 (3), 1002-1019, 2012 | 54 | 2012 |
Energy-preserving methods for nonlinear Schrödinger equations C Besse, S Descombes, G Dujardin, I Lacroix-Violet IMA Journal of Numerical Analysis 41 (1), 618-653, 2021 | 40 | 2021 |
Strang's formula for holomorphic semi-groups S Descombes, M Schatzman Journal de mathématiques pures et appliquées 81 (1), 93-114, 2002 | 38 | 2002 |
An implicit hybridized discontinuous Galerkin method for the 3D time-domain Maxwell equations A Christophe, S Descombes, S Lanteri Applied Mathematics and Computation 319, 395-408, 2018 | 36 | 2018 |
Simulation of human ischemic stroke in realistic 3D geometry T Dumont, M Duarte, S Descombes, MA Dronne, M Massot, V Louvet Communications in Nonlinear Science and Numerical Simulation 18 (6), 1539-1557, 2013 | 35* | 2013 |
Adaptive time splitting method for multi-scale evolutionary partial differential equations S Descombes, M Duarte, T Dumont, V Louvet, M Massot Confluentes Mathematici 3 (3), 413-443, 2011 | 35 | 2011 |
Analysis of operator splitting in the nonasymptotic regime for nonlinear reaction-diffusion equations. Application to the dynamics of premixed flames S Descombes, M Duarte, T Dumont, F Laurent, V Louvet, M Massot SIAM Journal on Numerical Analysis 52 (3), 1311-1334, 2014 | 34 | 2014 |