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• Uniform Error Bound of an Exponential Wave Integrator for Long-Time Dynamics of the Nonlinear Schrödinger Equation with Wave Operator

  Yue Feng, Yichen Guo, Yongjun Yuan

  2023-10-23

  27114 2549 Pages:980-1003

• Optimal Convergence Rates in Time-Fractional Discretisations: The ${\rm L1}$, $\overline{{\rm L1}}$ and Alikhanov Schemes

  Yongtao Zhou, Martin Stynes

  2022-04-06

  52215 3512 Pages:503-520

• $L2-1_\sigma$ Finite Element Method for Time-Fractional Diffusion Problems with Discontinuous Coefficients

  Yanping Chen, Xuejiao Tan, Yunqing Huang

  2023-10-23

  28344 2659 Pages:813-834

• Approximation and Generalization of DeepONets for Learning Operators Arising from a Class of Singularly Perturbed Problems

  Ting Du, Zhongyi Huang, Ye Li

  2024-09-27

  14826 1326 Pages:841-873

• Convergence of Finite Difference Method in Positive Time for Multi-Term Time Fractional Differential Equations

  Haili Qiao, Aijie Cheng

  2020-08-15

  49121 3213 Pages:774-785

• $H^1$-Stability and Convergence of the FE, FV and FD Methods for an Elliptic Equation

  Yinnian He & Xinlong Feng

  2018-02-09

  40765 4345 Pages:154-170

• Convergence Analysis for a Three-Level Finite Difference Scheme of a Second Order Nonlinear ODE Blow-up Problem

  Chien-Hong Cho, Chun-Yi Liu

  2021-07-02

  37793 3536 Pages:679-696

• Convergence of a Discontinuous Galerkin Method on Bakhvalov-Type Meshes for Singularly Perturbed Volterra Integro-Differential Equations

  Yige Liao, Xianbing Luo

  2025-06-18

  7228 585 Pages:770-786

• A Fast Discontinuous Galerkin Finite Element Method for a Bond-Based Linear Peridynamic Model

  Jincheng Dong, Ning Du, Zhiwei Yang

  2025-10-29

  5014 232 Pages:129-151

• An Energy Stable TFPM-Based Petrov-Galerkin Scheme for Solving the Allen-Cahn Equation

  Yueran Wang, Wenli Yang, Zhongyi Huang

  2025-11-14

  7699 199 Pages:427-456