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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
    DOI:10.4208/cicp.OA-2024-0095
    5374 896 pp. 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
    DOI:10.4208/cicp.OA-2024-0263
    4572 375 pp. 1453-1497
  • Adaptive Neural Network Basis Methods for Partial Differential Equations with Low-Regular Solutions

    Jianguo Huang, Haohao Wu, Tao Zhou
    2026-02-15
    DOI:10.4208/cicp.OA-2024-0310
    4085 195 pp. 553-577
  • A Variational Neural Network Approach for Glacier Modelling with Nonlinear Rheology

    Tiangang Cui, Zhongjian Wang, Zhiwen Zhang
    2023-11-08
    DOI:10.4208/cicp.OA-2022-0272
    30966 2628 pp. 934-954
  • Weak Minimization-Sampling Network for Solving PDEs

    Zhenqian E, Weiguo Gao
    2026-01-03
    DOI:10.4208/cicp.OA-2024-0153
    1940 120 pp. 696-712
  • Dirichlet-Neumann Learning Algorithm for Solving Elliptic Interface Problems

    Qi Sun, Xuejun Xu, Haotian Yi
    2025-07-11
    DOI:10.4208/cicp.OA-2024-0046
    5425 679 pp. 248-284
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