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

• Convergence Analysis of a Quasi-Monte Carlo-Based Deep Learning Algorithm for Solving Partial Differential Equations

  Fengjiang Fu, Xiaoqun Wang

  2023-08-29

  28404 2513 Pages:668-700

• Error Analysis of the Mixed Residual Method for Elliptic Equations

  Kai Gu, Peng Fang, Zhiwei Sun, Rui Du

  2024-05-11

  21043 1712 Pages:534-554

• Analysis of Deep Ritz Methods for Semilinear Elliptic Equations

  Mo Chen, Yuling Jiao, Xiliang Lu, Pengcheng Song, Fengru Wang, Jerry Zhijian Yang

  2024-02-26

  23763 2366 Pages:181-209

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

  Mengjia Bai, Jingrun Chen, Rui Du, Zhiwei Sun

  2025-05-16

  7410 544 Pages:395-436

• 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

  29871 2542 Pages:883-913