2 papers
math.NA2024
Macroscopic auxiliary asymptotic preserving neural networks for the linear radiative transfer equations
Hongyan Li, Song Jiang, Wenjun Sun +2
We develop a Macroscopic Auxiliary Asymptotic-Preserving Neural Network (MA-APNN) method to solve the time-dependent linear radiative transfer equations (LRTEs), which have a multi…
math.NA2023
Spatial second-order positive and asymptotic preserving filtered schemes for nonlinear radiative transfer equations
Xiaojing Xu, Song Jiang, Wenjun Sun
A spatial second-order scheme for the nonlinear radiative transfer equations is introduced in this paper. The discretization scheme is based on the filtered spherical harmonics ($F…