Search Results

• 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

  48462 3306 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

  46211 4304 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

  5046 565 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

  67104 3635 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

  67125 3405 Pages:2180-2205

• High-Dimensional Nonlinear Multi-Fidelity Model with Gradient-Free Active Subspace Method

  Bangde Liu, Guang Lin

  2020-11-18

  62412 3326 Pages:1937-1969