Long time simulation of a highly oscillatory Vlasov equation with an exponential integrator
Numerical Analysis
2015-06-19 v1 Plasma Physics
Abstract
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 exponential integrator, the new scheme allows to use large time steps compared to the size of oscillations in the solution.
Keywords
Cite
@article{arxiv.1404.1160,
title = {Long time simulation of a highly oscillatory Vlasov equation with an exponential integrator},
author = {Emmanuel Frenod and Sever Hirstoaga and Mathieu Lutz},
journal= {arXiv preprint arXiv:1404.1160},
year = {2015}
}