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  • Analysis of a Multi-Term Variable-Order Time-Fractional Diffusion Equation and Its Galerkin Finite Element Approximation

    Huan Liu, Xiangcheng Zheng, Hongfei Fu
    2022-10-06
    271 4 Pages:814-834
  • The Optimal Convergence Order of the Discontinuous Finite Element Methods for First Order Hyperbolic Systems

    Tie Zhang, Datao Shi & Zhen Li
    2018-08-07
    32504 3589 Pages:689-701
  • An Efficient Finite Difference Method for Stochastic Linear Second-Order Boundary-Value Problems Driven by Additive White Noises

    Mahboub Baccouch
    2024-01-16
    25076 2156 Pages:432-453
  • Analysis on a Numerical Scheme with Second-Order Time Accuracy for Nonlinear Diffusion Equations

    Xia Cui, Guangwei Yuan, Fei Zhao
    2021-10-15
    40472 3029 Pages:777-800
  • Fast Algorithms for Higher-Order Singular Value Decomposition from Incomplete Data

    Yangyang Xu
    2019-02-12
    38421 2930 Pages:397-422
  • Stability and Convergence Analysis of Second-Order Schemes for a Diffuse Interface Model with Peng-Robinson Equation of State

    Qiujin Peng, Zhonghua Qiao, Shuyu Sun
    2021-07-01
    36432 3720 Pages:737-765
  • Robust High Order Convergence of an Overlapping Schwarz Method for Singularly Perturbed Semilinear Reaction-Diffusion Problems

    S. Chandra Sekhara Rao & Sunil Kumar
    2018-08-22
    37522 3808 Pages:509-521
  • A Stochastic Newton Method for Nonlinear Equations

    Jiani Wang, Xiao Wang, Liwei Zhang
    2023-11-08
    27877 2629 Pages:1192-1221
  • A Compact Fourth-Order Finite Difference Scheme for the Improved Boussinesq Equation with Damping Terms

    Fuqiang Lu, Zhiyao Song, Zhuo Zhang
    2018-08-22
    35386 2765 Pages:462-478
  • Adaptive Regularized Quasi-Newton Method Using Inexact First-Order Information

    Hongzheng Ruan, Weihong Yang
    2024-11-13
    11719 1131 Pages:1656-1687
  • A High Order Scheme for Fractional Differential Equations with the Caputo-Hadamard Derivative

    Xingyang Ye, Junying Cao, Chuanju Xu
    2024-11-21
    16029 1427 Pages:615-640
  • On the $L_\infty$ Convergence and the Extrapolation Method of a Difference Scheme for Nonlocal Parabolic Equation with Natural Boundary Conditions

    Zheng-Su Wan, Zhi-Zhong Sun
    2001-10-02
    66 38 Pages:449-458
  • The Numerical Solution of Second-Order Weakly Singular Volterra Integro-Differential Equations

    Tao Tang & Wei Yuan
    2021-07-01
    33480 3256 Pages:307-320
  • Reconstruction-Based a Posteriori Error Estimates for the L1 Method for Time Fractional Parabolic Problems

    Jiliang Cao, Aiguo Xiao, Wansheng Wang
    2024-11-19
    11551 1023 Pages:345-368
  • Strong Convergence of the Euler-Maruyama Method for a Class of Stochastic Volterra Integral Equations

    Wei Zhang
    2022-10-06
    38945 3109 Pages:607-623
  • Strong Convergence of a Fully Discrete Finite Element Method for a Class of Semilinear Stochastic Partial Differential Equations with Multiplicative Noise

    Xiaobing Feng, Yukun Li, Yi Zhang
    2021-07-05
    40084 2822 Pages:574-598
  • Alternating Direction Implicit Schemes for the Two-Dimensional Time Fractional Nonlinear Super-Diffusion Equations

    Jianfei Huang, Yue Zhao, Sadia Arshad, Kuangying Li, Yifa Tang
    2019-04-29
    41939 2970 Pages:297-315
  • An $L^{\infty}$ Second Order Cartesian Method for 3D Anisotropic Interface Problems

    Baiying Dong, Xiufeng Feng, Zhilin Li
    2022-11-08
    303064 3357 Pages:882-912
  • Second-Order Convergence Properties of Trust-Region Methods Using Incomplete Curvature Information, with an Application to Multigrid Optimization

    Serge Gratton, Annick Sartenaer & Philippe L. Toint
    2021-07-01
    30747 3379 Pages:676-692
  • Weak Convergence Analysis of a Splitting-Up Method for Stochastic Differential Equations

    Minxing Zhang, Yongkui Zou
    2025-02-10
    126 42
  • Convergence Analysis of Parareal Algorithm Based on Milstein Scheme for Stochastic Differential Equations

    Liying Zhang, Jing Wang, Weien Zhou, Landong Liu, Li Zhang
    2020-03-24
    40193 2846 Pages:487-501
  • High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

    Ruihan Guo, Liangyue Ji, Yan Xu
    2018-08-22
    41007 2977 Pages:135-158
  • A Stopping Criterion for Higher-Order Sweeping Schemes for Static Hamilton-Jacobi Equations

    Susana Serna & Jianliang Qian
    2018-08-22
    33556 3650 Pages:552-568
  • Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

    Lina Wang, Qian Tong, Lijun Yi, Mingzhu Zhang
    2023-12-01
    29167 2642 Pages:217-247
  • A Fourth-Order Compact and Conservative Difference Scheme for the Generalized Rosenau-Korteweg de Vries Equation in Two Dimensions

    Jue Wang, Qingnan Zeng
    2019-04-29
    39761 2927 Pages:541-555
  • Second-Order Numerical Schemes for Decoupled Forward-Backward Stochastic Differential Equations with Jumps

    Weidong Zhao, Wei Zhang, Guannan Zhang
    2018-08-22
    35995 2842 Pages:213-244
  • Discrete Energy Analysis of the Third-Order Variable-Step BDF Time-Stepping for Diffusion Equations

    Hong-lin Liao, Tao Tang, Tao Zhou
    2022-11-15
    295539 2877 Pages:325-344
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