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math.NA2026
Randomized Neural Networks for Partial Differential Equation on Static and Evolving Surfaces
Jingbo Sun, Fei Wang
Surface partial differential equations arise in numerous scientific and engineering applications. Their numerical solution on static and evolving surfaces remains challenging due t…
math.NA2024
Local Randomized Neural Networks with Discontinuous Galerkin Methods for KdV-type and Burgers Equations
Jingbo Sun, Fei Wang
The Local Randomized Neural Networks with Discontinuous Galerkin (LRNN-DG) methods, introduced in [42], were originally designed for solving linear partial differential equations.…