MC-Nonlocal-PINNs: Handling Nonlocal Operators in PINNs Via Monte Carlo Sampling

DOI10.4208/nmtma.oa-2022-0201arXiv2212.12984OpenAlexW4381332036MaRDI QIDQ6151271

Yue Qian, Wan-fang Shen, Xiaodong Feng

Publication date: 11 March 2024

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.12984

zbMATH Keywords

Monte Carlo samplingnonlocal modelsdeep neural networksPINNs

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Numerical methods for integral equations (65R20) Numerical integration (65D30)

Cites Work

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