6 citations · 6 across the 6 of their papers we have counts for
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math.NA2017
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…
math.NA2017
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…
math.NA2017
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…