24–27 oct. 2022
Institut de Mathématiques de Toulouse
Fuseau horaire Europe/Paris

Numerical proof of stability for finite difference schemes in a finite space domain

27 oct. 2022, 09:00
50m
Amphithéâtre Laurent Schwartz, building 1R3 (Institut de Mathématiques de Toulouse)

Amphithéâtre Laurent Schwartz, building 1R3

Institut de Mathématiques de Toulouse

118 route de Narbonne 31062 Toulouse Cedex 9

Orateur

M. Pierre Le Barbenchon (Université Rennes 1)

Description

The goal of this talk is to study the stability of finite differences schemes for scalar hyperbolic initial boundary value problem. It is based on the GKS theory (introduced by Gustafsson, Kreiss and Sundström) and it deals with the Kreiss-Lopantinskii determinant. We will use complex analysis and geometric consideration to find zeros of this determinant and conclude on the stability of the scheme.

Documents de présentation