most citedMC-Nonlocal-PINNs: handling nonlocal operators in PINNs via Monte Carlo sampling

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math.NA2022★ 1 cited

MC-Nonlocal-PINNs: handling nonlocal operators in PINNs via Monte Carlo sampling

Xiaodong Feng, Yue Qian, Wanfang Shen

We propose, Monte Carlo Nonlocal physics-informed neural networks (MC-Nonlocal-PINNs), which is a generalization of MC-fPINNs in \cite{guo2022monte}, for solving general nonlocal m…