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• A Label-Free Hybrid Iterative Numerical Transferable Solver for Partial Differential Equations

  Xinyi Wang, Jingrun Chen, Rui Du

  2024-11-29

  14657 1259 Pages:712-734

• BINet: Learn to Solve Partial Differential Equations with Boundary Integral Networks

  Guochang Lin, Pipi Hu, Fukai Chen, Xiang Chen, Junqing Chen, Jun Wang, Zuoqiang Shi

  2023-02-14

  35445 3291 Pages:275-305

• Optimal Strong Convergence Rate of Spectral Galerkin Exponential Euler Scheme for Parabolic SPDEs

  Jialin Hong, Chuying Huang, Zhihui Liu

  2026-04-02

  42 42

• Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method

  Jihong Wang, Zhi-Qin John Xu, Jiwei Zhang, Yaoyu Zhang

  2022-05-30

  38447 3288 Pages:299-317

• Asymptotic Expansion Regularization for Inverse Source Problems in Two-Dimensional Singularly Perturbed Nonlinear Parabolic PDEs

  Dmitrii Chaikovskii, Aleksei Liubavin, Ye Zhang

  2023-10-26

  27463 2521 Pages:721-757

• Solving Time-Dependent Parametric PDEs by Multiclass Classification-Based Reduced Order Model

  Chen Cui, Kai Jiang, Shi Shu

  2023-01-09

  34254 3790 Pages:13-40

• Solving the Inverse Potential Problem in the Parabolic Equation by the Deep Neural Networks Method

  Mengmeng Zhang, Zhidong Zhang

  2024-11-29

  13219 1284 Pages:852-883

• Combined Second and Fourth-Order PDEs Model and Associated Variational Problems for Geometric Images Inpainting and Denoising

  Anis Theljani, Zakaria Belhachmi, Moez Kallel, Maher Moakher

  2021-11-29

  38685 3507 Pages:652-679

• A Deep Learning Approach for Solving the Inverse Problem of the Wave Equation

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

  2026-01-25

  1090 196 Pages:29-61