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math.NA2026
A simple shallow neural network for emulating the solution to singularly perturbed problems
Christos Xenophontos, Aayushman Raina
We consider (feed-forward) Neural Networks (NNs) for the emulation of the solution to singularly perturbed second order boundary value problems, with two small parameters. We descr…
math.NA2026
Error Analysis of a Fully-Discrete Implicit -Scheme with WG-FEM for Parabolic Singularly Perturbed Boundary Turning Point Problems
Aayushman Raina, Srinivasan Natesan
In this article, we introduce a weak Galerkin finite element method (WG-FEM) for a class of parabolic singularly perturbed boundary turning point problems (SPBTPPs). The proposed n…