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An exponential integrator for the 4D-Vlasov-Poisson system with strong magnetic field

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If you have a question about this talk, please contact Harsha Hutridurga .

With the aim of solving in a four dimensional phase space a multi-scale Vlasov- Poisson system, we propose in a Particle-In-Cell framework a robust time-stepping method that works uniformly when the small parameter vanishes. As an exponential integrator, the scheme is able to use large time steps with respect to the typical size of the solution’s fast oscillations. In addition, we show numerically that the method has accurate long time behaviour and that it is asymptotic preserving with respect to the limiting Guiding Center system.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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