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• A Pre-Training Deep Learning Method for Simulating the Large Bending Deformation of Bilayer Plates

  Xiang Li, Yulei Liao, Pingbing Ming

  2024-06-13

  27175 2100 Pages:551-578

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

  Hongtao Chen, Tong Wang

  2024-09-27

  14658 1249 Pages:788-819

• 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

• Solving Diffusion Problems by a Random Feature Method

  Zijian Mei, Hui Xie, Heng Yong, Zhouwang Yang, Jingrun Chen

  2025-06-06

  5327 477 Pages:439-463

• Real-Time Computing for a Parameterized Feedback Control Problem of Boussinesq Equations by POD and Deep Learning

  Guang-Ri Piao, Hyung-Chun Lee

  2024-06-13

  23424 1961 Pages:507-529

• 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

• A Hybrid Method for Three-Dimensional Semi-Linear Elliptic Equations

  Jianguo Huang, Shengbiao Ma, Haoqin Wang

  2023-04-25

  30800 2695 Pages:420-434

• A Deep Learning Method for Elliptic Hemivariational Inequalities

  Jianguo Huang, Chunmei Wang & Haoqin Wang

  2022-04-06

  59745 4038 Pages:487-502 Open-access

• Approximation and Generalization of DeepONets for Learning Operators Arising from a Class of Singularly Perturbed Problems

  Ting Du, Zhongyi Huang, Ye Li

  2024-09-27

  14552 1198 Pages:841-873

• 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