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math.NA2022
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…
math.NA2022
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…