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

  46504 2785 Pages:377-404

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

  Jiang Yang, Quanhui Zhu

  2022-02-09

  47238 4622 Pages:42-67

• A Stabilized Physics Informed Neural Networks Method for Wave Equations

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

  2024-12-11

  11931 1439 Pages:1100-1127

• Error Analysis of the Deep Mixed Residual Method for High-Order Elliptic Equations

  Mengjia Bai, Jingrun Chen, Rui Du, Zhiwei Sun

  2025-05-16

  7578 592 Pages:395-436

• Error Analysis of the Mixed Residual Method for Elliptic Equations

  Kai Gu, Peng Fang, Zhiwei Sun, Rui Du

  2024-05-11

  21189 1749 Pages:534-554

• HRW: Hybrid Residual and Weak Form Loss for Solving Elliptic Interface Problems with Neural Network

  Muzhou Hou, Yinghao Chen, Shen Cao, Yuntian Chen, Jinyong Ying

  2023-11-07

  29993 2585 Pages:883-913

• Sparse Deep Neural Network for Nonlinear Partial Differential Equations

  Yuesheng Xu, Taishan Zeng

  2023-01-13

  34548 3197 Pages:58-78

• A QMC-Deep Learning Method for Diffusivity Estimation in Random Domains

  Liyao Lyu, Zhiwen Zhang, Jingrun Chen

  2020-12-02

  52925 3011 Pages:908-927

• Convergence Analysis of OT-Flow for Sample Generation

  Yang Jing, Lei Li

  2025-05-16

  7492 587 Pages:325-352