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math.NA2024
Relative Entropy for the Numerical Diffusive Limit of the Linear Jin-Xin System
Marianne Bessemoulin-Chatard, Hélène Mathis
This paper deals with the diffusive limit of the Jin and Xin model and its approximation by an asymptotic preserving finite volume scheme. At the continuous level, we determine a c…
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…