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Relative entropy method for the diffusive limit of numerical schemes

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Marianne Bessemoulin-Chatard (Nantes)

We study the diffusive limit of finite volume schemes for hyperbolic systems with source terms. We prove the convergence of a class of numerical schemes towards the limit parabolic problem with an explicit convergence rate, by adapting to the discrete framework the relative entropy method proposed by Lattanzio and Tzavaras (2013) in this context. This is a joined work with Christophe Berthon and Hélène Mathis (Nantes).