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  • On the Banach Spaces Associated with Multi-Layer ReLU Networks: Function Representation, Approximation Theory and Gradient Descent Dynamics

    Weinan E, Stephan Wojtowytsch
    2020-09-25
    43692 3771 Pages:387-440
  • Energy Stable Arbitrary Order ETD-MS Method for Gradient Flows with Lipschitz Nonlinearity

    Wenbin Chen, Shufen Wang, Xiaoming Wang
    2021-08-31
    40970 3602 Pages:460-483
  • A Novel Lagrange Multiplier Approach with Relaxation for Gradient Flows

    Zhengguang Liu, Xiaoli Li
    2024-02-26
    24981 2318 Pages:110-141
  • Global-in-Time Energy Stability for a General Class of Stabilization Single-Step Schemes Applied to the Swift-Hohenberg Equation

    Hong Zhang, Haifeng Wang, Yan Wang, Xu Qian
    2025-09-11
    4001 351 Pages:555-592
  • Convergence Analysis on a Structure-Preserving Numerical Scheme for the Poisson-Nernst-Planck-Cahn-Hilliard System

    Yiran Qian, Cheng Wang, Shenggao Zhou
    2023-02-14
    32902 2990 Pages:345-380
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