357 citations · 864 across the 37 of their papers we have counts for
Showing 2017 · math.NAShow all
2 papers · 2 filters
math.NA2017★ 1 cited
Discontinuous-galerkin methods for a kinetic model of self-organized dynamics
Francis Filbet, Chi-Wang Shu
This paper deals with the numerical resolution of kinetic models for systems of self-propelled particles subject to alignment interaction and attraction-repulsion. We focus on the…
math.NA2017
Asymptotically preserving particle-in-cell methods for inhomogenous strongly magnetized plasmas
Francis Filbet, Luis Rodrigues
We propose a class of Particle-In-Cell (PIC) methods for the Vlasov-Poisson system with a strong and inhomogeneous external magnetic field with fixed direction, where we focus on t…