2 papers
math.NA2026
A Fourier spectral method for the cutoff Boltzmann equation: Convergence analysis and numerical simulation
Yanzhi Gui, Ling-Bing He, Liu Liu
This work addresses a central challenge in the numerical analysis of the cutoff spatially homogeneous Boltzmann equation: the development of rigorously justified, accurate numerica…
math.AP2025
Numerical analysis of the homogeneous Landau equation: approximation, error estimates and simulation
Francis Filbet, Yanzhi Gui, Ling-Bing He
We construct a numerical solution to the spatially homogeneous Landau equation with Coulomb potential on a domain with N retained Fourier modes. By deriving an explicit error…