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| In the framework of Particle-In-Cell methods for a 4D phase space Vlasov-Poisson system depending on a small parameter, we propose a time-stepping method which works uniformly when the 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, the method has accurate long time behaviour
since it follows the slow motion of the center of the rapid periodic rotations. |
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