3 papers
math.NA2025
Discrete -theorem for a finite volume discretization of a nonlinear kinetic system: application to hypocoercivity
Marianne Bessemoulin-Chatard, Tino Laidin, Thomas Rey
In this article, we study the long-time behavior of a finite-volume discretization for a nonlinear kinetic reaction model involving two interacting species. Building upon the semin…
math.NA2025
A Parareal in time numerical method for the collisional Vlasov equation in the hyperbolic scaling
Tino Laidin, Thomas Rey
We present the design of a multiscale parareal method for kinetic equations in the fluid dynamic regime. The goal is to reduce the cost of a fully kinetic simulation using a parall…
math.NA2024
Discrete hypocoercivity for a nonlinear kinetic reaction model
Marianne Bessemoulin-Chatard, Tino Laidin, Thomas Rey
In this article, we propose a finite volume discretization of a one dimensional nonlinear reaction kinetic model proposed in [Neumann, Schmeiser, Kint. Rel. Mod. 2016], which descr…