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math.NA2024
Singular layer PINN methods for Burgers' equation
Teng-Yuan Chang, Gung-Min Gie, Youngjoon Hong +1
In this article, we present a new learning method called sl-PINN to tackle the one-dimensional viscous Burgers problem at a small viscosity, which results in a singular interior la…
math.NA2023
Singular layer Physics Informed Neural Network method for Plane Parallel Flows
Teng-Yuan Chang, Gung-Min Gie, Youngjoon Hong +1
We construct in this article the semi-analytic Physics Informed Neural Networks (PINNs), called {\em singular layer PINNs} (or {\em sl-PINNs}), that are suitable to predict the sti…