Render unto numerics: orthogonal polynomial neural operator for PDEs with nonperiodic boundary conditions

DOI10.1137/23m1556320MaRDI QIDQ6575342

Hong Zhang, Ziyuan Liu, Kaijun Bao, Hai-Feng Wang, Xu Qian, Songhe Song

Publication date: 19 July 2024

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

zbMATH Keywords

spectral methodscientific machine learningneural operatorAI4sciencedeep learning-based PDE solver

Mathematics Subject Classification ID

Computational learning theory (68Q32) Artificial neural networks and deep learning (68T07) Algorithms for approximation of functions (65D15) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22) Computational methods for problems pertaining to operator theory (47-08)

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