Title :

Semigroup stability of finite difference schemes for multidimensional hyperbolic initial boundary value problems

Author(s) :

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

Journal title :

Mathematics of Computation

Pages :

165-203

Publisher :

American Mathematical Society

Publication date :

2011-12-31

ISSN :

0025-5718

English keyword(s) :

Hyperbolic systems
initial boundary value problems
finite difference schemes
stability

HAL domain(s) :

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

English abstract : [en]

We develop a simple energy method to prove the stability of finite difference schemes for multidimensional hyperbolic initial boundary value problems. In particular we extend to several space dimensions a crucial result ...
Show more >We develop a simple energy method to prove the stability of finite difference schemes for multidimensional hyperbolic initial boundary value problems. In particular we extend to several space dimensions a crucial result by Goldberg and Tadmor. This allows us to give two conditions on the discretized operator that ensure that stability estimates for zero initial data imply a semigroup stability estimate for general initial data. We then apply this criterion to several numerical schemes in two space dimensions.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL