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Conservative semi-Lagrangian schemes for Vlasov equations
Authors:Nicolas Crouseilles  Michel Mehrenberger  Eric Sonnendrücker
Institution:1. INRIA-Nancy-Grand Est, CALVI Project and IRMA, Université de Strasbourg and CNRS, 7 Rue René Descartes, 67084 Strasbourg Cedex, France;2. IRMA, Université de Strasbourg and CNRS and INRIA-Nancy-Grand Est, CALVI Project, 7 Rue René Descartes, 67084 Strasbourg Cedex, France
Abstract:Conservative methods for the numerical solution of the Vlasov equation are developed in the context of the one-dimensional splitting. In the case of constant advection, these methods and the traditional semi-Lagrangian ones are proven to be equivalent, but the conservative methods offer the possibility to add adequate filters in order to ensure the positivity. In the non-constant advection case, they present an alternative to the traditional semi-Lagrangian schemes which can suffer from bad mass conservation, in this time splitting setting.
Keywords:
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