Gauss Newton Method for Solving Variational Problems of PDEs with Neural Network Discretizaitons

The numerical solution of differential equations using machine learning-based approaches has gained significant popularity. Neural network-based discretization has emerged as a powerful tool for solving differential equations by parameterizing a set of functions. Various approaches, such as the deep...

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Publié dans:Journal of scientific computing. - 1999. - 100(2024), 1 vom: 26. Juli
Auteur principal: Hao, Wenrui (Auteur)
Autres auteurs: Hong, Qingguo, Jin, Xianlin
Format: Article en ligne
Langue:English
Publié: 2024
Accès à la collection:Journal of scientific computing
Sujets:Journal Article Convergence analysis Gauss-Newton method Neural network discretization Partial differential equations Variational form