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Journal Articles Discrete and Continuous Dynamical Systems - Series S Year : 2015

An exponential integrator for a highly oscillatory Vlasov equation

Abstract

In the framework of a Particle-In-Cell scheme for some 1D Vlasov-Poisson system depending on a small parameter, we propose a time-stepping method which is numerically uniformly accurate when the parameter goes to zero. Based on an exponential time differencing approach, the scheme is able to use large time steps with respect to the typical size of the fast oscillations of the solution.
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Dates and versions

hal-00833479 , version 1 (13-06-2013)

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Emmanuel Frenod, Sever Adrian Hirstoaga, Eric Sonnendrücker. An exponential integrator for a highly oscillatory Vlasov equation. Discrete and Continuous Dynamical Systems - Series S, 2015, 8 (1), pp.169-183. ⟨10.3934/dcdss.2015.8.169⟩. ⟨hal-00833479⟩
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