29 citations · 61 across the 17 of their papers we have counts for
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math.AP2015★ 1 cited
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…
math.AP2015★ 6 cited
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…