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20242026
most citedAn Analysis of Deep Learning Parameterizations for Ocean Subgrid Eddy Forcing

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math.NA2026

Design principles for stable and generalizable data-driven discretizations for solving linear hyperbolic conservation laws

Antoine-Alexis Nasser, Alistair Adcroft

We investigate data-driven finite-volume discretizations of the linear advection equation in one dimension. Neural networks for use as numerical advection schemes are constructed a…