Long-time simulation of a highly oscillatory Vlasov equation with an exponential integrator |
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| Affiliation: | 1. Université Bretagne-Sud, UMR 6205, LMBA, 56000 Vannes, France;2. TONUS Project, Inria Nancy Grand-Est, France;3. IRMA (UMR CNRS 7501), Université de Strasbourg, France |
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| 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 perform accurate long-time simulations. As an exponential integrator, the new scheme allows us to use large time steps compared to the size of the oscillations in the solution. |
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| Keywords: | Vlasov–Poisson system Paraxial approximation Particle-In-Cell method Highly oscillatory ODEs Exponential time differencing Long-time simulation |
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