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• An Adaptive Gradient Method with Energy and Momentum

  Hailiang Liu, Xuping Tian

  2022-04-15

  39629 3271 Pages:183-222 Open-access

• Euler Approximation for Non-Autonomous Mixed Stochastic Differential Equations in Besov Norm

  Sihui Yu, Weiguo Liu

  2021-01-27

  40063 3218 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

  30240 2822 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

  54866 4775 Pages:1-21

• Properties of Solutions of $n$-Dimensional Incompressible Navier-Stokes Equations

  Linghai Zhang

  2020-08-24

  40012 3893 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

  34742 3238 Pages:437-512

• A Convergent Numerical Algorithm for the Stochastic Growth-Fragmentation Problem

  Dawei Wu, Zhennan Zhou

  2024-02-29

  19888 2302 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

  20481 2538 Pages:1-20