arXiv Machine Learning July 23, 2026 By Denis Gueyffier (ONERA -- Institut Polytechnique de Paris)

Hard Guarantees at a Measured Price: Entropy-Stable Learned Finite Volumes for Compressible Flow

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arXiv:2607. 20171v1 Announce Type: cross Abstract: Learned solvers for compressible flow are usually compared to classical methods at equal mesh resolution rather than at equal computational cost, and they typically offer no guarantee that their solutions remain physically admissible.

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