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math.NA2016
Numerical Convergence Rate for a Diffusive Limit of Hyperbolic Systems: p-System with Damping
Christophe Berthon, Marianne Bessemoulin-Chatard, Hélène Mathis
This paper deals with diffusive limit of the p-system with damping and its approximation by an Asymptotic Preserving (AP) Finite Volume scheme. Provided the system is endowed with…
math.AP2016
Error estimate for time-explicit finite volume approximation of strong solutions to systems of conservation laws
Clément Cancès, Hélène Mathis, Nicolas Seguin
We study the finite volume approximation of strong solutions to nonlinear systems of conservation laws. We focus on time-explicit schemes on unstructured meshes, with entropy satis…