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math.NA2014★ 5 cited
Long time simulation of a highly oscillatory Vlasov equation with an exponential integrator
Emmanuel Frenod, Sever Hirstoaga, Mathieu Lutz
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…
math.NA2013
An exponential integrator for a highly oscillatory Vlasov equation
Emmanuel Frenod, Sever Adrian Hirstoaga, Eric Sonnendrücker
In the framework of a Particle-In-Cell scheme for some 1D Vlasov-Poisson system depending on a small parameter, we propose a time-stepping method which is numerically uniformly acc…