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• 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

• 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

• Error Analysis of the Nonconforming $P_1$ Finite Element Method to the Sequential Regularization Formulation for Unsteady Navier-Stokes Equations

  Yanming Lai, Kewei Liang, Ping Lin, Xiliang Lu, Qimeng Quan

  2024-02-29

  19958 2321 Pages:43-70

• Parallel Computing Method of Pure Alternative Segment Explicit-Implicit Difference Scheme for Nonlinear Leland Equation

  Ruifang Yan, Xiaozhong Yang, Shuzhen Sun

  2022-06-17

  25555 2777 Pages:302-318

• 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

• An Enriched Petrov-Galerkin Method for Darcy Flow in Fractured Porous Media

  Huangxin Chen, Zixuan Wang

  2025-01-14

  7641 1085 Pages:347-393

• A Linearized Adaptive Dynamic Diffusion Finite Element Method for Convection-Diffusion-Reaction Equations

  Shaohong Du, Qianqian Hou, Xiaoping Xie

  2023-09-15

  23819 2405 Pages:323-351

• An Arbitrary Order Reconstructed Discontinuous Approximation to Biharmonic Interface Problem

  Yan Chen, Ruo Li, Qicheng Liu

  2023-06-29

  24788 2704 Pages:149-180

• Effective Maximum Principles for Spectral Methods

  Dong Li

  2021-07-30

  37684 3465 Pages:131-290