2 papers
physics.comp-ph2026
Matched Asymptotic Expansions-Based Transferable Neural Networks for Singular Perturbation Problems
Zhequan Shen, Lili Ju, Liyong Zhu
In this paper, by utilizing the theory of matched asymptotic expansions, an efficient and accurate neural network method, named as "MAE-TransNet", is developed for solving singular…
math.NA2025
A Multiple Transferable Neural Network Method with Domain Decomposition for Elliptic Interface Problems
Tianzheng Lu, Lili Ju, Liyong Zhu
The transferable neural network (TransNet) is a two-layer shallow neural network with pre-determined and uniformly distributed neurons in the hidden layer, and the least-squares so…