Active learning based sampling for high-dimensional nonlinear partial differential equations

DOI10.1016/j.jcp.2022.111848OpenAlexW4312053961MaRDI QIDQ2683063

Chunmei Wang, Wenhan Gao

Publication date: 3 February 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.13988

zbMATH Keywords

nonlinear PDEsactive learningadaptive samplinghigh-dimensionaldeep learning

Mathematics Subject Classification ID

Artificial intelligence (68Txx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)

Related Items (1)

DAS-PINNs: a deep adaptive sampling method for solving high-dimensional partial differential equations

Uses Software

• Adam
• DeepXDE
• DGM

Cites Work

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