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

Coulombel, Jean-François

Document type :

Compte-rendu et recension critique d'ouvrage

DOI :

10.2422/2036-2145.2011.1.03

Title :

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

Author(s) :

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

Journal title :

Annali della Scuola Normale Superiore di Pisa, Classe di Scienze

Pages :

37-98

Publisher :

Scuola Normale Superiore

Publication date :

2011-12-31

ISSN :

0391-173X

English keyword(s) :

Hyperbolic systems
boundary value problems
finite difference schemes
stability

HAL domain(s) :

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

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Popular science :

Non

ANR Project :

Interaction d'ondes compressibles

Collections :