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Journal Articles Comptes Rendus Mécanique Year : 2014

Long time simulation of a highly oscillatory Vlasov equation with an exponential integrator

Abstract

We change a previous time-stepping algorithm for solving a multi-scale Vlasov-Poisson system within a Particle-In-Cell method, in order to do accurate long time simulations. As an exponential integrator, the new scheme allows to use large time steps compared to the size of oscillations in the solution.
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Dates and versions

hal-00973164 , version 1 (03-04-2014)

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Emmanuel Frenod, Sever Adrian Hirstoaga, Mathieu Lutz. Long time simulation of a highly oscillatory Vlasov equation with an exponential integrator. Comptes Rendus Mécanique, 2014, 342 (10 - 11), pp.595-609. ⟨10.1016/j.crme.2014.06.006⟩. ⟨hal-00973164⟩
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