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  • A Two-Grid Algorithm of Fully Discrete Galerkin Finite Element Methods for a Nonlinear Hyperbolic Equation

    Kang Li, Zhijun Tan
    2020-12-02
    51134 2906 Pages:1050-1067
  • Finite Element Approximation of Space Fractional Optimal Control Problem with Integral State Constraint

    Zhaojie Zhou, Jiabin Song, Yanping Chen
    2020-12-02
    47926 2901 Pages:1027-1049
  • Two-Grid Finite Element Method with Crank-Nicolson Fully Discrete Scheme for the Time-Dependent Schrödinger Equation

    Jianyun Wang, Jicheng Jin, Zhikun Tian
    2020-03-09
    45757 2867 Pages:334-352
  • Robust Globally Divergence-Free Weak Galerkin Finite Element Methods for Unsteady Natural Convection Problems

    Yihui Han, Hongliang Li, Xiaoping Xie
    2019-10-12
    45177 2554 Pages:1266-1308
  • Analysis of a Special $Q_1$-Finite Volume Element Scheme for Anisotropic Diffusion Problems

    Fang Fang, Qi Hong, Jiming Wu
    2019-10-12
    45446 2644 Pages:1141-1167
  • Error Estimates and Superconvergence of a High-Accuracy Difference Scheme for a Parabolic Inverse Problem with Unknown Boundary Conditions

    Liping Zhou, Shi Shu, Haiyuan Yu
    2019-10-12
    45882 2656 Pages:1119-1140
  • A New Triangular Spectral Element Method II: Mixed Formulation and $hp$-Error Estimates

    Bingzhen Zhou, Bo Wang, Li-Lian Wang & Ziqing Xie
    2018-09-18
    41873 4422 Pages:72-97
  • A Priori Error Estimate of Splitting Positive Definite Mixed Finite Element Method for Parabolic Optimal Control Problems

    Hongfei Fu, Hongxing Rui, Jiansong Zhang & Hui Guo
    2016-09-01
    39261 2707 Pages:215-238
  • The Dissipative Spectral Methods for the First Order Linear Hyperbolic Equations

    Lian Chen, Zhongqiang Zhang & Heping Ma
    2012-05-01
    39689 3482 Pages:493-508
  • A Triangular Spectral Method for the Stokes Equations

    Lizhen Chen, Jie Shen & Chuanju Xu
    2011-04-01
    39897 3879 Pages:158-179
  • Convergence Analysis on a Second-Order, Positive, and Unconditional Energy Dissipative Scheme for the Poisson-Nernst-Planck Equations

    Jie Ding, Xiang Ji, Ziheng Xu
    2025-09-01
    4714 361 Pages:703-732
  • Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

    Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang
    2025-04-06
    6698 552 Pages:226-258
  • A BDF2-SSAV Numerical Scheme with Fourier-Spectral Method for a Droplet Thin Film Coarsening Model

    Juan Zhang, Lixiu Dong, Zhengru Zhang
    2024-08-30
    17364 1369 Pages:777-804
  • An Extended Courant Element on a Polytope with Application in Approximating an Obstacle Problem

    Mingqing Chen, Jianguo Huang
    2024-08-30
    21835 1431 Pages:607-629
  • The Direct Method of Lines for Forward and Inverse Linear Elasticity Problems of Composite Materials in Star-Shaped Domains

    Xiaopeng Zhu, Zhizhang Wu, Zhongyi Huang
    2023-01-13
    33711 3031 Pages:242-276
  • An Energy Stable Filtered Backward Euler Scheme for the MBE Equation with Slope Selection

    Jiexin Wang, Hong-Lin Liao, Ying Zhao
    2023-01-13
    34364 3094 Pages:165-181
  • The Variable-Step L1 Scheme Preserving a Compatible Energy Law for Time-Fractional Allen-Cahn Equation

    Hong-Lin Liao, Xiaohan Zhu, Jindi Wang
    2023-01-21
    36489 2831 Pages:1128-1146
  • Finite Difference Method for Inhomogeneous Fractional Dirichlet Problem

    Jing Sun, Weihua Deng, Daxin Nie
    2022-07-19
    39582 2959 Pages:744-767
  • The Discontinuous Galerkin Method by Divergence-Free Patch Reconstruction for Stokes Eigenvalue Problems

    Di Li, Zhiyuan Sun, Fengru Wang, Jerry Zhijian Yang
    2022-03-23
    45259 2846 Pages:484-509
  • Strong Convergence of a Fully Discrete Scheme for Multiplicative Noise Driving SPDEs with Non-Globally Lipschitz Continuous Coefficients

    Xu Yang, Weidong Zhao
    2021-09-10
    45613 2722 Pages:1085-1109
  • A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

    Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang
    2021-06-02
    47662 2841 Pages:738-772
  • A Second-Order Synchrosqueezing Transform with a Simple Form of Phase Transformation

    Jian Lu, Jawaher H. Alzahrani, Qingtang Jiang
    2021-06-02
    48264 3344 Pages:624-649
  • Multidomain Legendre-Galerkin Least-Squares Method for Linear Differential Equations with Variable Coefficients

    Yonghui Qin, Yanping Chen, Yunqing Huang, Heping Ma
    2020-03-16
    43860 2854 Pages:665-688
  • The Cubic Spline Rule for the Hadamard Finite-Part Integral on an Interval

    Gendai Gu, Sheng An & Meiling Zhao
    2019-04-22
    43258 2767 Pages:906-922
  • Finite Difference Schemes for the Variable Coefficients Single and Multi-Term Time-Fractional Diffusion Equations with Non-Smooth Solutions on Graded and Uniform Meshes

    Mingrong Cui
    2019-04-22
    44012 2739 Pages:845-866
  • A New Variational Approach for Inverse Source Problems

    Qiya Hu, Shi Shu & Jun Zou
    2018-12-17
    43696 3060 Pages:331-347
  • Spectral Deferred Correction Methods for Fractional Differential Equations

    Chunwan Lv, Mejdi Azaiez & Chuanju Xu
    2021-01-13
    44706 2833 Pages:729-751
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