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Advances in Applied Mathematics and Mechanics
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  • A Novel Discretization Method for Semilinear Reaction-Diffusion Equation

    Luoping Chen, Yanping Chen
    2018-09-17
    44385 3116 Pages:409-423
  • Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

    Zhenrong Chen, Yanping Chen, Yunqing Huang
    2022-08-08
    288583 3985 Pages:1333-1356
  • Two-Grid Discretization Scheme for Nonlinear Reaction Diffusion Equation by Mixed Finite Element Methods

    Luoping Chen, Yanping Chen
    2014-06-01
    43685 4639 Pages:203-219
  • Multigrid Method for Poroelasticity Problem by Finite Element Method

    Luoping Chen, Yanping Chen
    2021-07-01
    48651 4421 Pages:1339-1357
  • Superconvergence Analysis of Bilinear Finite Element for the Nonlinear Schrödinger Equation on the Rectangular Mesh

    Zhikun Tian, Yanping Chen, Jianyun Wang
    2018-09-17
    44905 3095 Pages:468-484
  • A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems

    Xianbing Luo, Yanping Chen, Yunqing Huang
    2013-05-01
    42665 4159 Pages:688-704
  • A Spectral Method for Second Order Volterra Integro-Differential Equation with Pantograph Delay

    Weishan Zheng, Yanping Chen
    2013-05-01
    41644 4167 Pages:131-145
  • A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints

    Jinling Zhang, Yanping Chen, Yunqing Huang, Fenglin Huang
    2022-01-24
    40953 3326 Pages:469-493
  • Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions

    Yunxia Wei, Yanping Chen
    2012-04-01
    42689 4632 Pages:1-20
  • Error Estimates and Superconvergence of Mixed Finite Element Methods for Optimal Control Problems with Low Regularity

    Yanping Chen, Tianliang Hou, Weishan Zheng
    2021-07-01
    43142 4074 Pages:751-768
  • Convergence Analysis of Legendre-Collocation Methods for Nonlinear Volterra Type Integro Equations

    Yin Yang, Yanping Chen, Yunqing Huang, Wei Yang
    2018-03-29
    42606 4797 Pages:74-88
  • Error Analysis for a Non-Monotone FEM for a Singularly Perturbed Problem with Two Small Parameters

    Yanping Chen, Haitao Leng, Li-Bin Liu
    2018-03-30
    41656 3155 Pages:196-206
  • Equivalent a Posteriori Error Estimators for Semilinear Elliptic Equations with Dirac Right-Hand Side

    Wenting Mao, Yanping Chen, Haitao Leng
    2020-04-10
    45139 3277 Pages:835-848
  • Superconvergence of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations

    Xiaoqing Xing, Yanping Chen
    2011-03-01
    41173 3962 Pages:401-419
  • Superconvergence of Rectangular Mixed Finite Element Methods for Constrained Optimal Control Problem

    Yanping Chen, Li Dai, Zuliang Lu
    2010-02-01
    42748 4669 Pages:56-75
  • A Posteriori Error Estimates of Triangular Mixed Finite Element Methods for Semilinear Optimal Control Problems

    Zuliang Lu, Yanping Chen
    2018-08-10
    39802 4010 Pages:242-256
  • A New Two-Grid Method for Expanded Mixed Finite Element Solution of Nonlinear Reaction Diffusion Equations

    Shang Liu, Yanping Chen
    2018-08-04
    41230 2919 Pages:757-774
  • Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

    Xiong Liu, Yanping Chen
    2021-07-01
    41600 3719 Pages:1506-1524
  • Spectral-Collocation Method for Volterra Delay Integro-Differential Equations with Weakly Singular Kernels

    Xiulian Shi, Yanping Chen
    2018-05-05
    41319 3055 Pages:648-669
  • Equivalent a Posteriori Error Estimator of Spectral Approximation for Control Problems with Integral Control-State Constraints in One Dimension

    Fenglin Huang, Yanping Chen, Xiulian Shi
    2018-05-05
    40335 3070 Pages:464-484
  • Spectral Scheme for Nonlinear Volterra Integro-Differential Equation

    Weishan Zheng, Yanping Chen, Jianwei Zhou
    2025-07-19
    7586 477 Pages:1395-1410
  • Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

    Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang
    2024-07-22
    26270 2390 Pages:1197-1222
  • Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

    Weishan Zheng, Yanping Chen, Yunqing Huang
    2019-01-11
    43871 3106 Pages:486-500
  • Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows

    Xin Zhao, Yanping Chen
    2018-09-17
    43675 2984 Pages:710-734
  • Jacobi Spectral Collocation Method Based on Lagrange Interpolation Polynomials for Solving Nonlinear Fractional Integro-Differential Equations

    Xingfa Yang, Yin Yang, Yanping Chen, Jie Liu
    2021-07-01
    47168 4083 Pages:1440-1458
  • A Posteriori Error Estimates of the Galerkin Spectral Methods for Space-Time Fractional Diffusion Equations

    Huasheng Wang, Yanping Chen, Yunqing Huang, Wenting Mao
    2020-03-06
    48354 5001 Pages:87-100
  • Spectral Collocation Methods for Second-Order Volterra Integro-Differential Equations with Weakly Singular Kernels

    Xiulian Shi, Yanping Chen, Yunqing Huang, Fenglin Huang
    2020-01-17
    48497 3586 Pages:480-502
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