Oct 24 – 27, 2022
Institut de Mathématiques de Toulouse
Europe/Paris timezone

Large time stability issues for finite difference schemes (session 2)

Oct 26, 2022, 2:00 PM
1h 30m
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

Speaker

Gregory FAYE

Description

Following session 1, we shall present some sharp estimates for the Green's function of finite difference schemes that approximate the incoming transport equation on a half-line. The stability analysis relies on a precise description of the possible eigenvalues arising from the interplay between the finite difference scheme and the numerical boundary conditions. The talk is based on a joint work with Jean-François Coulombel.

Presentation materials