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coefficient decay scaling 1high-dimensional pdes 1neural network approximation 1physics-informed neural networks 1spectral methods 1

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20242026
most citedSinc Kolmogorov-Arnold network and its application for solving PDEs with singularities

3 citations · 4 across the 3 of their papers we have counts for

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physics.comp-ph2026★ 1 cited

Astral: training physics-informed neural networks with error majorants

Vladimir Fanaskov, Tianchi Yu, Alexander Rudikov +1

The primal approach to physics-informed learning is a residual minimization. We argue that residual is, at best, an indirect measure of the error of approximate solution and propos…