Christophe Besse
Christophe Besse
Toulouse
Adresse e-mail validée de math.univ-toulouse.fr
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A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations
X Antoine, A Arnold, C Besse, M Ehrhardt, A Schädle
Berlin: Weierstraß-Institut für Angewandte Analysis und Stochastik, 2008
3562008
Computational methods for the dynamics of the nonlinear Schrödinger/Gross–Pitaevskii equations
X Antoine, W Bao, C Besse
Computer Physics Communications 184 (12), 2621-2633, 2013
2572013
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
1822002
Unconditionally stable discretization schemes of non-reflecting boundary conditions for the one-dimensional Schrödinger equation
X Antoine, C Besse
Journal of Computational Physics 188 (1), 157-175, 2003
1672003
A relaxation scheme for the nonlinear Schrödinger equation
C Besse
SIAM Journal on Numerical Analysis 42 (3), 934-952, 2004
1362004
Numerical schemes for the simulation of the two-dimensional Schrödinger equation using non-reflecting boundary conditions
X Antoine, C Besse, V Mouysset
Mathematics of computation 73 (248), 1779-1799, 2004
1182004
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
942006
A model hierarchy for ionospheric plasma modeling
C Besse, P Degond, F Deluzet, J Claudel, G Gallice, C Tessieras
Mathematical Models and Methods in Applied Sciences 14 (03), 393-415, 2004
862004
Absorbing boundary conditions for the one-dimensional Schrödinger equation with an exterior repulsive potential
X Antoine, C Besse, P Klein
Journal of Computational Physics 228 (2), 312-335, 2009
742009
Construction, structure and asymptotic approximations of a microdifferential transparent boundary condition for the linear Schrödinger equation
X Antoine, C Besse
Journal de mathématiques pures et appliquées 80 (7), 701-738, 2001
502001
Absorbing boundary conditions for the two-dimensional Schrödinger equation with an exterior potential part I: construction and a priori estimates
X Antoine, C Besse, P Klein
Mathematical Models and Methods in Applied Sciences 22 (10), 1250026, 2012
48*2012
Absorbing boundary conditions for general nonlinear Schrödinger equations
X Antoine, C Besse, P Klein
SIAM Journal on Scientific Computing 33 (2), 1008-1033, 2011
412011
Schéma de relaxation pour l'équation de Schrödinger non linéaire et les systèmes de Davey et Stewartson
C Besse
Comptes Rendus de l'Académie des Sciences-Series I-Mathematics 326 (12 …, 1998
361998
Numerical study of the Davey-Stewartson system
C Besse, NJ Mauser, HP Stimming
ESAIM: Mathematical Modelling and Numerical Analysis 38 (6), 1035-1054, 2004
332004
Numerical study of elliptic-hyperbolic Davey–Stewartson system: dromions simulation and blow-up
C Besse, CH Bruneau
Mathematical Models and Methods in Applied Sciences 8 (08), 1363-1386, 1998
301998
A Maxwell-Bloch model with discrete symmetries for wave propagation in nonlinear crystals: an application to KDP
C Besse, B Bidégaray-Fesquet, A Bourgeade, P Degond, O Saut
ESAIM: Mathematical Modelling and Numerical Analysis 38 (2), 321-344, 2004
272004
Discrete transparent boundary conditions for the mixed KDV–BBM equation
C Besse, P Noble, D Sanchez
Journal of Computational Physics 345, 484-509, 2017
252017
Discrete artificial boundary conditions for the linearized Korteweg–de Vries equation
C Besse, M Ehrhardt, I Lacroix‐Violet
Numerical Methods for Partial Differential Equations 32 (5), 1455-1484, 2016
252016
Towards accurate artificial boundary conditions for nonlinear PDEs through examples
X Antoine, C Besse, J Szeftel
Cubo, A Mathematical Journal 11 (4), 1008-1033, 2009
252009
High Order Exponential Integrators for Nonlinear Schrödinger Equations with Application to Rotating Bose--Einstein Condensates
C Besse, G Dujardin, I Lacroix-Violet
SIAM Journal on Numerical Analysis 55 (3), 1387-1411, 2017
222017
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