Linear stability of a vectorial kinetic relaxation scheme with a central velocity

Clémentine Courtès (1) , Emmanuel Franck (2, 3)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 TONUS - TOkamaks and NUmerical Simulations
3 IRMA - Institut de Recherche Mathématique Avancée

This article deals with the linear stability of an implicit vectorial kinetic relaxation scheme with a central velocity used to solve numerically some multi-scale hyperbolic systems.

Mots clés: eigenvalues; linear stability; kinetic relaxation; semi-Lagrangian method; von Neumann analysis; implicit splitting scheme

Domaines: Equations aux dérivées partielles [math.AP]; Analyse numérique [math.NA]

Clémentine Courtès, Emmanuel Franck. Linear stability of a vectorial kinetic relaxation scheme with a central velocity. HYP2018, Jun 2018, University Park, Pennsylvania, United States. pp.400-407. ⟨hal-01970499v2⟩