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• Neural Network Method for Integral Fractional Laplace Equations

  Zhaopeng Hao, Moongyu Park, Zhiqiang Cai

  2023-01-04

  40795 4113 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

  14335 1297 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

  30451 2959 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

  31082 2893 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

  25435 2170 Pages:490-506

• 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

• 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

• 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

• 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

• 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

• 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

• 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

  47233 3374 Pages:264-284