27 citations · 195 across the 25 of their papers we have counts for
4 papers · 1 filter
Uniform error estimate of an asymptotic preserving scheme for the Lévy-Fokker-Planck equation
Weiran Sun, Li Wang
We establish a uniform-in-scaling error estimate for the asymptotic preserving scheme proposed in \cite{XW21} for the Lévy-Fokker-Planck (LFP) equation. The main difficulties stem…
Second-order diffusion limit for the phonon transport equation-asymptotics and numerics
Anjali Nair, Qin Li, Weiran Sun
We investigate the numerical implementation of the limiting equation for the phonon transport equation in the small Knudsen number regime. The main contribution is that we derive t…
Half-space Kinetic Equations with General Boundary Conditions
Qin Li, Jianfeng Lu, Weiran Sun
We study half-space linear kinetic equations with general boundary conditions that consist of both given incoming data and various type of reflections, extending our previous work…
Diffusion approximations and domain decomposition method of linear transport equations: asymptotics and numerics
Qin Li, Jianfeng Lu, Weiran Sun
In this paper we construct numerical schemes to approximate linear transport equations with slab geometry by diffusion equations. We treat both the case of pure diffusive scaling a…