A. Myshak

works on

dam break problem 1 physics-informed neural networks 1 reduced-order modeling 1 shallow water equations 1 shock-aware collocation 1 tensor methods 1

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math.NA2026

Comparison of a Parametric Physics-Informed Neural Network and a Tensorial Reduced-Order Model for the Shallow-Water Dam-Break Problem

Anton Myshak, Md Rezwan Bin Mizan, Ilya Timofeyev

The paper develops and compares two parametric data-driven reduced models—a physics-informed neural network and a tensorial reduced-order model—for the one-dimensional shallow-wate…