2 papers
math.NA2026
Discrete hypocoercive estimates for discontinuous Galerkin methods: application to the Vlasov-Poisson-Fokker-Planck system
Yi Cai, Alain Blaustein, Tao Xiong +1
We develop and analyze a class of structure-preserving discontinuous Galerkin schemes for the nonlinear Vlasov-Poisson-Fokker-Planck model, reformulated as a hyperbolic system thro…
math.NA2025
An efficient asymptotic preserving Monte Carlo method for frequency-dependent radiative transfer equations
Yiyang Hong, Yi Shi, Yi Cai +1
In this paper, we develop an efficient asymptotic-preserving (AP) Monte Carlo (MC) method for frequency-dependent radiative transfer equations (RTEs), which is based on the AP-MC m…