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gmres 1machine learning 1newton's method 1parameterized pdes 1reduced-order modeling 1surrogate modeling 1

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cs.LG2026

Learning features from Newton's algorithm: a way to accelerate nonlinear parametrized PDE solvers

Rémy Vallot, Florian de Vuyst, Thibault Dairay +1

The paper introduces a two‑stage method that learns features from precomputed Newton trajectories to predict a surrogate solution and then apply a cheap corrective step, providing…