@Article{CiCP-18-2,
author = {Frénod, Emmanuel and Sever, Hirstoaga, A. and Mathieu, Lutz and Sonnendrücker, Eric},
title = {Long Time Behaviour of an Exponential Integrator for a Vlasov-Poisson System with Strong Magnetic Field},
journal = {Communications in Computational Physics},
year = {2015},
volume = {18},
number = {2},
pages = {263--296},
abstract = {<p style="text-align: justify;">With the aim of solving in a four dimensional phase space a multi-scale
Vlasov-Poisson system, we propose in a Particle-In-Cell framework a robust time-stepping
method that works uniformly when the small parameter vanishes. As an
exponential integrator, the scheme is able to use large time steps with respect to the
typical size of the solution&#39;s fast oscillations. In addition, we show numerically that
the method has accurate long time behaviour and that it is asymptotic preserving with
respect to the limiting Guiding Center system.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.070214.160115a},
url = {https://global-sci.com/article/80320/long-time-behaviour-of-an-exponential-integrator-for-a-vlasov-poisson-system-with-strong-magnetic-field}
}