5 citations · 6 across the 4 of their papers we have counts for
4 papers
Long time simulation of a highly oscillatory Vlasov equation with an exponential integrator
Emmanuel Frenod, Sever Hirstoaga, Mathieu Lutz
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…
An exponential integrator for a highly oscillatory Vlasov equation
Emmanuel Frenod, Sever Adrian Hirstoaga, Eric Sonnendrücker
In the framework of a Particle-In-Cell scheme for some 1D Vlasov-Poisson system depending on a small parameter, we propose a time-stepping method which is numerically uniformly acc…
Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field
Nicolas Crouseilles, Emmanuel Frenod, Sever Hirstoaga +1
In this paper, we build a Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field. This consists in writing the solution of this equation as a sum o…
The Vlasov model under large magnetic fields in the low-Mach number regime
Pierre Degond, Sever Hirstoaga, Marie-Hélène Vignal
This article is concerned with the kinetic modeling, by means of the Vlasov equation, of charged particles under the influence of a strong external electromagnetic field, i.e. when…