29 citations · 61 across the 17 of their papers we have counts for
5 papers · 1 filter
Energy preserving methods for nonlinear Schrödinger equations
Christophe Besse, Stephane Descombes, Guillaume Dujardin +1
This paper is concerned with the numerical integration in time of nonlinear Schrödinger equations using different methods preserving the energy or a discrete analog of it. The Cran…
Domain decomposition algorithms for the two dimensional nonlinear Schr{ö}dinger equation and simulation of Bose-Einstein condensates
Christophe Besse, Feng Xing
In this paper, we apply the optimized Schwarz method to the two dimensional nonlinear Schr{ö}dinger equation and extend this method to the simulation of Bose-Einstein condensates (…
Domain decomposition algorithms for two dimensional linear Schrödinger equation
Christophe Besse, Feng Xing
This paper deals with two domain decomposition methods for two dimensional linear Schr{ö}dinger equation, the Schwarz waveform relaxation method and the domain decomposition in spa…
Schwarz waveform relaxation method for one dimensional Schr{ö}dinger equation with general potential
C Besse, F Xing
In this paper, we apply the Schwarz Waveform Relaxation (SWR) method to the one dimensional Schr{ö}dinger equation with a general linear or a nonlinear potential. We propose a new…
An asymptotic preserving scheme based on a new formulation for NLS in the semiclassical limit
Christophe Besse, Rémi Carles, Florian Méhats
We consider the semiclassical limit for the nonlinear Schrodinger equation. We introduce a phase/amplitude representation given by a system similar to the hydrodynamical formulatio…