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Ilya Timofeyev

1 paper indexed

arxivmath.NAcs.LG2026-07-16

Subgrid-Scale Parameterization in Burgers' Equation Using Structure-Preserving Neural Networks and Entropy Variables

Aijaz Nazir, Ilya Timofeyev

We present a machine learning approach for developing subgrid-scale (SGS) parametrizations in coarse simulations of partial differential equations. We utilize structure-preserving neural networks and entropy variables to learn subgrid fluxes in coarse simulations of the Burgers'…

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