2 papers
math.NA2025
Convergence analysis of a Crank-Nicolson scheme for strongly magnetized plasmas
Francis Filbet, L Miguel Rodrigues, Kim Han Trinh
The present paper is devoted to the convergence analysis of an asymptotic preserving particle scheme designed to serve as a particle pusher in a Particle-In-Cell (PIC) method for t…
math.NA2025
A modified Crank-Nicolson scheme for the Vlasov-Poisson system with a strong external magnetic field
Francis Filbet, L Miguel Rodrigues, Kim Han Trinh
We propose and study a Particle-In-Cell (PIC) method based on the Crank-Nicolson time discretization for the Vlasov-Poisson system with a strong and inhomogeneous external magnetic…