357 citations · 864 across the 37 of their papers we have counts for
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math.NA2018★ 3 cited
Numerical Simulations to the Vlasov-Poisson System with a Strong Magnetic Field
Francis Filbet, Chang Yang
In this paper, we present an efficient Particle-In-Cell algorithm for the simulation of the three dimensional Vlasov-Poisson system in the presence of a strong external magnetic fi…
math.NA2018
Convergence of a Finite Volume Scheme for a System of Interacting Species with Cross-Diffusion
José A. Carrillo, Francis Filbet, Markus Schmidtchen
In this work we present the convergence of a positivity preserving semi-discrete finite volume scheme for a coupled system of two non-local partial differential equations with cros…
math.NA2018★ 13 cited
A Hybrid Discontinuous Galerkin Scheme for Multi-scale Kinetic Equations
Francis Filbet, Tao Xiong
We develop a multi-dimensional hybrid discontinuous Galerkin method for multi-scale kinetic equations. This method is based on moment realizability matrices, a concept introduced b…