Search Results

• Laplace-fPINNs: Laplace-Based Fractional Physics-Informed Neural Networks for Solving Forward and Inverse Problems of a Time Fractional Equation

  Xiong-Bin Yan, Zhi-Qin John Xu, Zheng Ma

  2024-09-27

  15904 1409 Pages:657-674

• Plasma-Simulation Physics Informed Neural Networks (PS-PINNs) for Global Discharge Models

  Heejae Kwon, Eunsuh Kim, Sungha Cho, Deuk-Chul Kwon, Hee-Hwan Choe, Minseok Choi

  2024-06-13

  24355 1976 Pages:636-656

• Approximation Analysis of Convolutional Neural Networks

  Chenglong Bao, Qianxiao Li, Zuowei Shen, Cheng Tai, Lei Wu, Xueshuang Xiang

  2023-06-12

  38336 3328 Pages:524-549 Open-access

• 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

• A Hybrid Neural-Network and MAC Scheme for Stokes Interface Problems

  Che-Chia Chang, Chen-Yang Dai, Wei-Fan Hu, Te-Sheng Lin, Ming-Chih Lai

  2024-06-13

  25345 2140 Pages:490-506

• Solving the Inverse Source Problem of the Fractional Poisson Equation by MC-fPINNs

  Rui Sheng, Peiying Wu, Jerry Zhijian Yang, Cheng Yuan

  2025-06-06

  5254 457 Pages:565-590

• Less Emphasis on Hard Regions: Curriculum Learning of PINNs for Singularly Perturbed Convection-Diffusion-Reaction Problems

  Yufeng Wang, Cong Xu, Min Yang, Jin Zhang

  2024-01-02

  29866 2919 Pages:104-123

• Boundedness and Convergence Analysis of a Pi-Sigma Neural Network Based on Online Gradient Method and Sparse Optimization

  Qinwei Fan, Le Liu, Shuai Zhao, Zhiwen Zhang, Xiaofei Yang, Zhiwei Xing, Xingshi He

  2024-09-27

  14196 1262 Pages:769-787

• Machine Learning Algorithm for the Monge-Ampère Equation with Transport Boundary Conditions

  Hongtao Chen, Tong Wang

  2024-09-27

  14658 1249 Pages:788-819

• 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

• Improved Random Feature Method for Continuous Solution Reconstruction from Sparse Observation

  Qingchun Li, Qinwu Xu

  2025-10-29

  4518 63 Pages:204-226