Search Results

• Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

  Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu

  2021-01-26

  46361 2749 Pages:377-404

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

  Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan

  2024-12-11

  11793 1380 Pages:1100-1127

• A Local Deep Learning Method for Solving High Order Partial Differential Equations

  Jiang Yang, Quanhui Zhu

  2022-02-09

  47124 4540 Pages:42-67

• Error Analysis for Empirical Risk Minimization over Clipped ReLU Networks in Solving Linear Kolmogorov Partial Differential Equations

  Jichang Xiao, Xiaoqun Wang

  2024-12-11

  11943 1346 Pages:996-1017

• Sparse Deep Neural Network for Nonlinear Partial Differential Equations

  Yuesheng Xu, Taishan Zeng

  2023-01-13

  34437 3135 Pages:58-78

• MC-Nonlocal-PINNs: Handling Nonlocal Operators in PINNs via Monte Carlo Sampling

  Xiaodong Feng, Yue Qian, Wanfang Shen

  2023-08-29

  28323 2447 Pages:769-791