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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

• 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

• 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

• A Novel Approach to Simulate Lane-Emden and Emden-Fowler Equations Using Curriculum Learning-Based Unsupervised Symplectic Artificial Neural Network

  Arup Kumar Sahoo, S. Chakraverty

  2023-04-25

  30979 2862 Pages:276-298

• 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

• 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

• 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

• 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

• 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

• Stable Computation of Least Squares Problems of the OGM(1,N) Model and Short-Term Traffic Flow Prediction

  Qin-Qin Shen, Yang Cao, Bo Zeng, Quan Shi

  2022-02-21

  47152 3342 Pages:264-284