68 citations · 137 across the 20 of their papers we have counts for
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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…
Two-Scale numerical simulation of sand transport problems
Emmanuel Frenod, Ibrahima Faye, Diaraf Seck
In this paper we consider a model for short term dynamics of dunes in tidal area. We construct a Two-Scale Numerical Method based on the fact that the solution of the equation whic…
Homogenization-Based Numerical Mathods, Homogenization, Asymptotic Analysis, Asymptotic Expansion, Numerical Simulation
Emmanuel Frenod
In this note, a classification of Homogenization-Based Numerical Methods and (in particular) of Numerical Methods that are based on the Two-Scale Convergence is done. In this class…
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…
Paralic confinement computations in coastal environment with interlocked areas
Jean-Philippe Bernard, Emmanuel Frenod, Antoine Rousseau
This paper is in the continuity of a work program. Its goal is to develop an approach of the paralic confinement usable from the modeling slant, before implementing it in numerical…
Two-dimensional Finite Larmor Radius approximation in canonical gyrokinetic coordinates
Alexandre Mouton, Emmanuel Frenod
In this paper, we present some new results about the approximation of the Vlasov-Poisson system with a strong external magnetic field by the 2D finite Larmor radius model. The proo…