6 citations · 6 across the 6 of their papers we have counts for
4 papers · 1 filter
Splitting methods for Intermediate Long Wave and perturbed Benjamin--Ono models
Yvonne Alama Bronsard, Clémentine Courtès, Benjamin Melinand
Recently, novel integrability techniques, and most notably Birkhoff coordinates followed by an explicit formula, have been introduced to solve the Benjamin--Ono (BO) equation, lead…
Convergence for PDEs with an arbitrary odd order spatial derivative term
Clémentine Courtès
We compute the rate of convergence of forward, backward and central finite difference -schemes for linear PDEs with an arbitrary odd order spatial derivative term. We prove conv…
Discrete energy estimates for the abcd-systems
Cosmin Burtea, Clémentine Courtès
In this article, we propose finite volume schemes for the -systems and we establish stability and error estimates. The order of accuracy depends on the so-called BBM-type dis…
Error estimates of finite difference schemes for the Korteweg-de Vries equation
Clémentine Courtès, Frédéric Lagoutière, Frédéric Rousset
This article deals with the numerical analysis of the Cauchy problem for the Korteweg-de Vries equation with a finite difference scheme. We consider the Rusanov scheme for the hype…