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  • Optimal Error Estimates of a Linearized Crank-Nicolson Galerkin FEM for the Kuramoto-Tsuzuki Equations

    Dongfang Li, Waixiang Cao, Chengjian Zhang & Zhimin Zhang
    2019-04-28
    48598 3339 Pages:838-854
  • A Kernel Based Unconditionally Stable Scheme for Nonlinear Parabolic Partial Differential Equations

    Kaipeng Wang, Andrew Christlieb, Yan Jiang, Mengping Zhang
    2020-11-26
    46325 4365 Pages:237-264
  • 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
    5235 749 Pages:181-222
  • A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

    Xi-An Li, Zhi-Qin John Xu, Lei Zhang
    2020-11-18
    67253 3664 Pages:1886-1906
  • An Adaptive Surrogate Modeling Based on Deep Neural Networks for Large-Scale Bayesian Inverse Problems

    Liang Yan, Tao Zhou
    2020-11-18
    67252 3430 Pages:2180-2205
  • High-Dimensional Nonlinear Multi-Fidelity Model with Gradient-Free Active Subspace Method

    Bangde Liu, Guang Lin
    2020-11-18
    62546 3360 Pages:1937-1969
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