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This work is devoted to the numerical simulation of a Vlasov-Poisson model describing a charged particle beam under the action of a rapidly oscillating external field. We construct a uniformly accurate numerical scheme for this kinetic equation in the highly oscillatory limit. This scheme enables to simulate the problem without using any time step refinement technique. Our method is based on a "two scale" reformulation of the initial equation, with the introduction of an additional periodic variable. |
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