Deep neural network for solving differential equations motivated by Legendre-Galerkin approximation

DOI10.4208/IJNAM2024-1026MaRDI QIDQ6648518

John O. Morgan, Hyun-Woo Kim, Bryce Chudomelka, Youngjoon Hong, Jinyoung Park

Publication date: 4 December 2024

Published in: International Journal of Numerical Analysis and Modeling (Search for Journal in Brave)

zbMATH Keywords

spectral element methodneural networkdeep learningLegendre-Galerkin methoddata driven numerical method

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Numerical algorithms for specific classes of architectures (65Y10) Computational aspects of data analysis and big data (68T09)

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