Search Results

• A Discontinuity and Cusp Capturing PINN for Stokes Interface Problems with Discontinuous Viscosity and Singular Forces

  Yu-Hau Tseng, Ming-Chih Lai

  2023-11-06

  30298 2772 Pages:385-405

• Connections Between Operator-Splitting Methods and Deep Neural Networks with Applications in Image Segmentation

  Hao Liu, Xue-Cheng Tai, Raymond Chan

  2023-11-06

  24894 2842 Pages:406-428 Open-access

• Deep Neural Network Approaches for Computing the Defocusing Action Ground State of Nonlinear Schrödinger Equation

  Zhipeng Chang, Zhenye Wen, Xiaofei Zhao

  2025-04-15

  6287 918 Pages:42-76

• On a Hybrid Method for Inverse Transmission Eigenvalue Problems

  Weishi Yin, Zhaobin Xu, Pinchao Meng, Hongyu Liu

  2024-05-11

  22051 1931 Pages:139-160

• Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

  Yuling Jiao, Xiliang Lu, Jerry Zhijian Yang, Cheng Yuan, Pingwen Zhang

  2023-09-15

  30387 2854 Pages:239-263

• On Residual Minimization for PDEs: Failure of PINN, Modified Equation, and Implicit Bias

  Tao Luo, Qixuan Zhou

  2026-01-21

  434 136 Pages:313-376