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  • An Adaptive Gradient Method with Energy and Momentum

    Hailiang Liu, Xuping Tian
    2022-04-15
    39511 3190 Pages:183-222 Open-access
  • Euler Approximation for Non-Autonomous Mixed Stochastic Differential Equations in Besov Norm

    Sihui Yu, Weiguo Liu
    2021-01-27
    39952 3193 Pages:426-441
  • Improved Analysis of PINNs: Alleviate the CoD for Compositional Solutions

    Yuling Jiao, Xiliang Lu, Jerry Zhijian Yang, Cheng Yuan, Pingwen Zhang
    2023-09-15
    30105 2792 Pages:239-263
  • Convergence of an Embedded Exponential-Type Low-Regularity Integrators for the KdV Equation Without Loss of Regularity

    Yongsheng Li, Yifei Wu, Fangyan Yao
    2021-02-20
    54706 4716 Pages:1-21
  • Properties of Solutions of $n$-Dimensional Incompressible Navier-Stokes Equations

    Linghai Zhang
    2020-08-24
    39906 3840 Pages:392-448
  • The Global Landscape of Phase Retrieval I: Perturbed Amplitude Models

    Jian-Feng Cai, Meng Huang, Dong Li, Yang Wang
    2021-12-22
    34618 3195 Pages:437-512
  • A Convergent Numerical Algorithm for the Stochastic Growth-Fragmentation Problem

    Dawei Wu, Zhennan Zhou
    2024-02-29
    19756 2251 Pages:71-104
  • Probabilistic Error Estimate for Numerical Discretization of High-Index Saddle Dynamics with Inaccurate Models

    Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
    2024-02-29
    20351 2487 Pages:1-20
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