29 citations · 61 across the 17 of their papers we have counts for
4 papers · 1 filter
Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation
Christophe Besse, Matthias Ehrhardt, Ingrid Lacroix-Violet
In this paper we consider two numerical scheme based on trapezoidal rule in time for the linearized KdV equation in one space dimension. The goal is to derive some suitable artific…
High order exponential integrators for nonlinear Schrödinger equations with application to rotating Bose-Einstein condensates
Christophe Besse, Guillaume Dujardin, Ingrid Lacroix-Violet
This article deals with the numerical integration in time of nonlinear Schrödinger equations. The main application is the numerical simulation of rotating 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…