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

Clémentine Courtès (1) , Emmanuel Franck (2)

1 IMT - Institut de Mathématiques de Toulouse UMR5219
2 TONUS - TOkamaks and NUmerical Simulations

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. Keywords : linear stability, von Neumann analysis, kinetic relaxation, semi-Lagrangian method, implicit splitting scheme, eigenvalues.

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

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. 2019. ⟨hal-01970499v1⟩