2 papers
math.NA2026
A Perturbation-Correction Method Based on Local Randomized Neural Networks for Quasi-Linear Interface Problems
Siyuan Lang, Zhiyue Zhang
For quasi-linear elliptic interface problems with discontinuous diffusion coefficients, randomized neural network approximations may exhibit stagnation because the associated objec…
math.NA2026
A Predictor Corrector Convex Splitting Method for Stefan Problems Based on Extreme Learning Machines
Siyuan Lang, Zhiyue Zhang
Solving Stefan problems via neural networks is inherently challenged by the nonlinear coupling between the solutions and the free boundary, which results in a non-convex optimizati…