3 papers
math.NA2026
PCELM: Perturbation-Correction Extreme Learning Machine for the Stefan problem
Wenjie Liu, Siyuan Lang, Zhiyue Zhang
For Stefan problems, characterized by moving boundaries and discontinuous coefficients due to phase changes, the inherent nonconvexity of the objective functional frequently causes…
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 Thermo-Kinematic Operator Splitting Framework for Stefan Problems Based on Extreme Learning Machines
Siyuan Lang, Zhiyue Zhang
Solving Stefan problems via neural networks is challenging because of the nonlinear coupling between the solution and the free boundary, which generally leads to a non-convex optim…