Optimally weighted loss functions for solving PDEs with Neural Networks

DOI10.1016/J.CAM.2021.113887zbMath1518.65143arXiv2002.06269WikidataQ114201957 ScholiaQ114201957MaRDI QIDQ6334842

Remco van der Meer, Cornelis W. Oosterlee, Anastasia Borovykh

Publication date: 14 February 2020

Mathematics Subject Classification ID

Probabilistic methods, particle methods, etc. for boundary value problems involving PDEs (65N75) Artificial neural networks and deep learning (68T07) Probabilistic models, generic numerical methods in probability and statistics (65C20) Numerical optimization and variational techniques (65K10) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Diffusion (76R50) Second-order elliptic equations (35J15) Numerical methods for partial differential equations, boundary value problems (65N99)

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