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

  16048 1504 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

  24566 2145 Pages:636-656

• Approximation Analysis of Convolutional Neural Networks

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

  2023-06-12

  38464 3401 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

  29635 2079 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

  25435 2170 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

  5436 520 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

  30023 3064 Pages:104-123

• A Neural Network Modeling for MHD–Radiative Natural Convection Williamson Fluid Between Concentric Cylinders

  Subham Jangid, Kaladhar Kolla

  2026-02-15

  90 25 Pages:662-678

• 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

  14335 1297 Pages:769-787

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

  Hongtao Chen, Tong Wang

  2024-09-27

  14838 1324 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

  36288 3184 Pages:740-758 Open-access

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

  Qingchun Li, Qinwu Xu

  2025-10-29

  4999 101 Pages:204-226