key polynomials 1limit key polynomials 1MacLane theory 1order type 1transcendental extensions 1valued fields 1
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math.NA2026★ 1 cited
A structure and asymptotic preserving scheme for the Vlasov-Poisson-Fokker-Planck model
Alain Blaustein, Francis Filbet
We propose a numerical method for the Vlasov-Poisson-Fokker-Planck model written as an hyperbolic system thanks to a spectral decomposition in the basis of Hermite functions with r…
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…
math.NA2025
A Particle method for stationary transport equations
Rafael Bailo, Julie Binard, Pierre Degond +1
We present and study a Particle method for the stationary solutions of a class of transport equations. This method is inspired by non-stationary Particle methods, the time variable…