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  • Bi-Orthogonal fPINN: A Physics-Informed Neural Network Method for Solving Time-Dependent Stochastic Fractional PDEs

    Lei Ma, Rongxin Li, Fanhai Zeng, Ling Guo, George Em Karniadakis
    2023-11-08
    31686 2665 Pages:1133-1176
  • Nonlinear Reduced DNN Models for State Estimation

    Wolfgang Dahmen, Min Wang, Zhu Wang
    2022-07-06
    42748 3674 Pages:1-40
  • A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

    Xi-An Li, Zhi-Qin John Xu, Lei Zhang
    2020-11-18
    67104 3635 Pages:1886-1906
  • Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

    Qi Sun, Xuejun Xu, Haotian Yi
    2025-07-11
    5086 463 Pages:248-284
  • Numerical Solution of the Incompressible Navier-Stokes Equation by a Deep Branching Algorithm

    Jiang Yu Nguwi, Guillaume Penent, Nicolas Privault
    2023-09-04
    33381 2823 Pages:261-289
  • Preface

    2020-11-18
    119 47 Pages:i-i
  • Integral Regularization PINNs for Evolution Equations

    Xiaodong Feng, Haojiong Shangguan, Tao Tang, Xiaoliang Wan
    2025-11-28
    919 31 Pages:356-386
  • Data Generation-Based Operator Learning for Solving Partial Differential Equations on Unbounded Domains

    Jihong Wang, Xin Wang, Jing Li, Bin Liu
    2025-05-29
    194 50 Pages:1383-1416
  • Convergence Analysis of PINNs with Over-Parameterization

    Mo Chen, Zhao Ding, Yuling Jiao, Xiliang Lu, Peiying Wu, Jerry Zhijian Yang
    2025-04-27
    237 58 Pages:942-974
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