Macroscopic auxiliary asymptotic preserving neural networks for the linear radiative transfer equations

no code implementations • 4 Mar 2024 • Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

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-scale nature and high dimensionality.

A model-data asymptotic-preserving neural network method based on micro-macro decomposition for gray radiative transfer equations

no code implementations • 11 Dec 2022 • Hongyan Li, Song Jiang, Wenjun Sun, Liwei Xu, Guanyu Zhou

We propose a model-data asymptotic-preserving neural network(MD-APNN) method to solve the nonlinear gray radiative transfer equations(GRTEs).