16 citations · 21 across the 7 of their papers we have counts for
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math.NA2021
Solving multiscale steady radiative transfer equation using neural networks with uniform stability
Yulong Lu, Li Wang, Wuzhe Xu
This paper concerns solving the steady radiative transfer equation with diffusive scaling, using the physics informed neural networks (PINNs). The idea of PINNs is to minimize a le…
math.NA2021
An asymptotic preserving scheme for Lévy-Fokker-Planck equation with fractional diffusion limit
Wuzhe Xu, Li Wang
In this paper, we develop a numerical method for the Lévy-Fokker-Planck equation with the fractional diffusive scaling. There are two main challenges. One comes from a two-fold non…