Long Time Behaviour of an Exponential Integrator for a Vlasov-Poisson System with Strong Magnetic Field. (30th July 2015)

• Record Type: Journal Article
• Authors: Frénod, Emmanuel; Hirstoaga, Sever A.; Lutz, Mathieu; Sonnendrücker, Eric
• Is Part Of: Communications in computational physics. Volume 18:Number 2(2015:Aug.)
• Page Start: 263
• Page End: 296
• Publication Date: 2015-07-30
• Subjects: Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.070214.160115a
• Languages: English
• ISSNs: 1815-2406

Abstract

<abstract abstract-type="normal"> <title>Abstract</title> <p>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'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> </abstract>