3 papers
math.NA2026
Asymptotic-Preserving Neural Networks based on Even-odd Decomposition for Multiscale Gray Radiative Transfer Equations
Keke Wu, Xizhe Xie, Wengu Chen +2
We present a novel Asymptotic-Preserving Neural Network (APNN) approach utilizing even-odd decomposition to tackle the nonlinear gray radiative transfer equations (GRTEs). Our AP l…
physics.comp-ph2025
BF-APNN: A Low-Memory Method for Accelerating the Solution of Radiative Transfer Equations
Xizhe Xie, Wengu Chen, Weiming Li +2
The Radiative Transfer Equations (RTEs) exhibit high dimensionality and multiscale characteristics, rendering conventional numerical methods computationally intensive. Existing dee…
physics.comp-ph2025
RT-APNN for Solving Gray Radiative Transfer Equations
Xizhe Xie, Wengu Chen, Zheng Ma +1
The Gray Radiative Transfer Equations (GRTEs) are high-dimensional, multiscale problems that pose significant computational challenges for traditional numerical methods. Current de…