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• Neural Network Method for Integral Fractional Laplace Equations

  Zhaopeng Hao, Moongyu Park, Zhiqiang Cai

  2023-01-04

  40694 3997 Pages:95-118

• A Chebyshev Polynomial Neural Network Solver for Boundary Value Problems of Elliptic Equations

  Liujun Meng, Xuelin Zhang, Hanquan Wang

  2023-04-25

  30322 2913 Pages:230-245

• Recovering the Source Term in Elliptic Equation via Deep Learning: Method and Convergence Analysis

  Chenguang Duan, Yuling Jiao, Jerry Zhijian Yang, Pingwen Zhang

  2024-06-13

  29533 2046 Pages:460-489

• Linearized Learning with Multiscale Deep Neural Networks for Stationary Navier-Stokes Equations with Oscillatory Solutions

  Lizuo Liu, Bo Wang, Wei Cai

  2023-06-12

  36212 3063 Pages:740-758 Open-access