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arxiv: 1404.1160 · v1 · pith:NV4XT4EXnew · submitted 2014-04-04 · 🧮 math.NA · physics.plasm-ph

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

Emmanuel Frenod (LMBA , INRIA Nancy - Grand Est / IRMA , INRIA Nancy - Grand Est / IECN / LSIIT / IRMA) , Sever Hirstoaga (INRIA Nancy - Grand Est / IRMA , Irma) , Mathieu Lutz (INRIA Nancy - Grand Est / IRMA This is my paper
classification 🧮 math.NA physics.plasm-ph
keywords timeexponentialintegratorlongaccuratealgorithmallowschange
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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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