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math.NA2023★ 5 cited
A moment approach for entropy solutions of parameter-dependent hyperbolic conservation laws
Clément Cardoen, Swann Marx, Anthony Nouy +1
We propose a numerical method to solve parameter-dependent hyperbolic partial differential equations (PDEs) with a moment approach, based on a previous work from Marx et al. (2020)…
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…