Stability of finite difference schemes for hyperbolic initial boundary value problems II

Coulombel, Jean-François

Type de document :

Compte-rendu et recension critique d'ouvrage

DOI :

10.2422/2036-2145.2011.1.03

Titre :

Stability of finite difference schemes for hyperbolic initial boundary value problems II

Auteur(s) :

Coulombel, Jean-François [Auteur]
SImulations and Modeling for PArticles and Fluids [SIMPAF]

Titre de la revue :

Annali della Scuola Normale Superiore di Pisa, Classe di Scienze

Pagination :

37-98

Éditeur :

Scuola Normale Superiore

Date de publication :

2011-12-31

ISSN :

0391-173X

Mot(s)-clé(s) en anglais :

Hyperbolic systems
boundary value problems
finite difference schemes
stability

Discipline(s) HAL :

Mathématiques [math]/Analyse numérique [math.NA]

Résumé en anglais : [en]

We study the stability of finite difference schemes for hyperbolic initial boundary value problems in one space dimension. Assuming stability for the dicretization of the hyperbolic operator as well as a geometric regularity ...
Lire la suite >We study the stability of finite difference schemes for hyperbolic initial boundary value problems in one space dimension. Assuming stability for the dicretization of the hyperbolic operator as well as a geometric regularity condition, we show that the uniform Kreiss-Lopatinskii condition yields strong stability for the discretized initial boundary value problem. The present work extends results of Gustafsson, Kreiss, Sundstrom and a former work of ours to the widest possible class of finite difference schemes by dropping some technical assumptions. We give some new examples of numerical schemes for which our results apply.Lire moins >

Langue :

Anglais

Vulgarisation :

Non

Projet ANR :

Interaction d'ondes compressibles

Collections :