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math.NA2024
Uniformly higher order accurate schemes for dynamics of charged particles under fast oscillating magnetic fields
Megala Anandan, Benjamin Boutin, Nicolas Crouseilles
This work deals with the numerical approximation of plasmas which are confined by the effect of a fast oscillating magnetic field (see \cite{Bostan2012}) in the Vlasov model. The p…
math.NA2024
High order Asymptotic Preserving penalized numerical schemes for the Euler-Poisson system in the quasi-neutral limit
Nicolas Crouseilles, Giacomo Dimarco, Saurav Samantaray
In this work, we focus on the development of high-order Implicit-Explicit (IMEX) finite volume numerical methods for plasmas in quasineutral regimes. At large temporal and spatial…