8–11 oct. 2024
Aussois
Fuseau horaire Europe/Paris

On the stability of numerical schemes for linear transport with boundary

8 oct. 2024, 15:55
45m
Aussois

Aussois

Centre de Vacances CAES du CNRS Paul Langevin, 24 Rue du Coin, 73500 Aussois

Orateur

M. Nicolas Seguin

Description

The goal is the study the stability of explicit finite difference schemes for the one-dimensional advection equation with an inflow boundary condition, the outflow case being rather well understood. We reformulate the so-called strong stability by introducing the intrinsic Kreiss-Lopatinskii determinant, which possesses the same regularity as the vector bundle of discrete stable solutions. In practice, we are able to link this analysis with a (robust and cheap) computation of some winding number.

Documents de présentation

Aucun document.