Preprint
Sep 2026
A simple shallow neural network for emulating the solution to singularly perturbed problems
A shallow NN is described which exploits available asymptotic expansions for the solution to singularly perturbed second order boundary value problems, with two small parameters, to augment the approximation space with suitable exponential functions, similar to enriched spaces in finite element methods.
C. Xenophontos, Aayushman Raina
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