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  • A Kolmogorov High Order Deep Neural Network for High Frequency Partial Differential Equations in High Dimensions

    Yaqin Zhang, Ke Li, Zhipeng Chang, Xuejiao Liu, Yunqing Huang, Xueshuang Xiang
    2025-07-11
    5046 565 Pages:181-222
  • Adaptive Basis-Inspired Deep Neural Network for Solving Partial Differential Equations with Localized Features

    Ke Li, Yaqin Zhang, Yunqing Huang, Chenyue Xie, Xueshuang Xiang
    2025-09-18
    4093 279 Pages:1453-1497
  • Adaptive Neural Network Basis Methods for Partial Differential Equations with Low-Regular Solutions

    Jianguo Huang, Haohao Wu, Tao Zhou
    2025-11-28
    913 40 Pages:553-577
  • A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology

    Tiangang Cui, Zhongjian Wang, Zhiwen Zhang
    2023-11-08
    30734 2548 Pages:934-954
  • Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

    Qi Sun, Xuejun Xu, Haotian Yi
    2025-07-11
    5086 463 Pages:248-284
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