First order Two-Scale Particle-in-Cell numerical method for Vlasov equation
Résumé
The aim of this work is to build an accurate numerical method for the simulation of the long time evolution of the Vlasov solution $\feps$ with an electric field $\Eeps = E_0+ \eps E_1$ for small $\eps$. To this purpose, we use the Two-Scale Convergence theory to determine a first order approximation $F+\eps F_1$ of $\feps$\!, then particle approximations to build an algorithm to obtain a numerical approximation of $F+\eps F_1$.
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