357 citations · 864 across the 37 of their papers we have counts for
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A spectral collocation method for the Landau equation in plasma physics
Francis Filbet
In this paper we present a spectral collocation method for the fast evaluation of the Landau collision operator for plasma physics, which allows us to obtain spectrally accurate nu…
Conservative discontinuous Galerkin/Hermite Spectral Method for the Vlasov-Poisson System
Francis Filbet, Tao Xiong
We propose a class of conservative discontinuous Galerkin methods for the Vlasov-Poisson system written as a hyperbolic system using Hermite polynomials in the velocity variable. T…
Convergence Analysis of Asymptotic Preserving Schemes for Strongly Magnetized plasmas
Francis Filbet, Luis Miguel Rodrigues, Hamed Zakerzadeh
The present paper is devoted to the convergence analysis of a class of asymptotic preserving particle schemes [Filbet \& Rodrigues, SIAM J. Numer. Anal., 54 (2) (2016)] for the Vla…
Asymptotic preserving schemes for the FitzHugh-Nagumo transport equation with strong local interactions
Joachim Crevat, Francis Filbet
This paper is devoted to the numerical approximation of the spatially-extended FitzHugh-Nagumo transport equation with strong local interactions based on a particle method. In this…