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math.NA2023★ 1 cited
High order asymptotic preserving scheme for linear kinetic equations with diffusive scaling
Megala Anandan, Benjamin Boutin, Nicolas Crouseilles
In this work, high order asymptotic preserving schemes are constructed and analysed for kinetic equations under a diffusive scaling. The framework enables to consider different cas…
math.NA2023
Stability of finite difference schemes for the hyperbolic initial boundary value problem by winding number computations
Benjamin Boutin, Pierre Le Barbenchon, Nicolas Seguin
In this paper, we present a numerical strategy to check the strong stability (or GKS-stability) of one-step explicit finite difference schemes for the one-dimensional advection equ…