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Advances in Applied Mathematics and Mechanics
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  • A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem

    Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma
    2020-04-10
    44804 3231 Pages:774-796
  • On the Degenerate Scale of an Infinite Plane Containing Two Unequal Circles

    Jeng-Tzong Chen, Shyh-Rong Kuo, Kuen-Ting Lien, Yi-Ling Huang
    2020-07-24
    48967 3162 Pages:1280-1300
  • A Comparison and Unification of Ellipsoidal Statistical and Shakhov BGK Models

    Songze Chen, Kun Xu, Qingdong Cai
    2018-03-30
    41603 3121 Pages:245-266
  • 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
  • Implicit DG Method for Time Domain Maxwell's Equations Involving Metamaterials

    Jiangxing Wang, Ziqing Xie, Chuanmiao Chen
    2021-07-01
    42843 4153 Pages:796-817
  • 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
  • Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method

    Wenzhen Qu, Wen Chen
    2018-03-29
    43151 4858 Pages:13-30
  • Superconvergence of bi-$k$ Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations

    Hongling Hu, Chuanmiao Chen
    2018-05-05
    42511 3113 Pages:323-337
  • Optimal Bicubic Finite Volume Methods on Quadrilateral Meshes

    Yanli Chen, Yonghai Li
    2018-05-05
    41771 3097 Pages:454-471
  • Local RBFs Based Collocation Methods for Unsteady Navier-Stokes Equations

    Xueying Zhang, Xin An, C. S. Chen
    2018-05-05
    41256 3091 Pages:430-440
  • The Eigenfunctions and Exact Solutions of Discrete mKdV Hierarchy with Self-Consistent Sources via the Inverse Scattering Transform

    Q. Li, J. B. Zhang, D. Y. Chen
    2018-05-05
    42105 3018 Pages:663-674
  • 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 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
  • An Improved Formulation of Singular Boundary Method

    Wen Chen, Yan Gu
    2012-04-01
    41611 4143 Pages:543-558
  • Three Boundary Meshless Methods for Heat Conduction Analysis in Nonlinear FGMs with Kirchhoff and Laplace Transformation

    Zhuo-Jia Fu, Wen Chen, Qing-Hua Qin
    2012-04-01
    41652 4255 Pages:519-542
  • 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
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

    Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang
    2022-08-08
    270062 3707 Pages:1477-1508
  • Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation

    Chuanjun Chen, Yuzhi Lou, Tong Zhang
    2022-08-08
    284711 3905 Pages:1357-1380
  • A Parallel Numerical Method for Risk Assessment of Myocardial Infarction During Liver Transplantation: A Case Study

    Zhengzheng Yan, Dandan Shang, Jingzhi Li, Rongliang Chen
    2022-08-08
    304549 3930 Pages:1225-1245
  • A Cell-Centered Lagrangian Scheme with an Elastic-Perfectly Plastic Solid Riemann Solver for Wave Propagations in Solids

    Qian Chen, Li Li, Jin Qi, Zhiqiang Zeng, Baolin Tian, Tiegang Liu
    2022-02-25
    46899 3323 Pages:703-724
  • Uncertainty Quantification of Store-Separation Simulation Due to Ejector Modeling Using a Monte Carlo Approach with Kriging Model

    Shuling Tian, Rongjie Li, Jiawei Fu, Zihan Jiao, Jiangtao Chen
    2022-02-25
    48537 3373 Pages:622-651
  • A Comparative Study on Polynomial Expansion Method and Polynomial Method of Particular Solutions

    Jen-Yi Chang, Ru-Yun Chen, Chia-Cheng Tsai
    2022-02-25
    48964 3320 Pages:577-595
  • A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations

    Mingyang Cheng, Lingyan Tang, Yaming Chen, Songhe Song
    2022-06-13
    42256 3537 Pages:1181-1200
  • Adaptive Relaxation Strategy on Basic Iterative Methods for Solving Linear Systems with Single and Multiple Right-Hand Sides

    Yuan Yuan, Shuli Sun, Pu Chen, Mingwu Yuan
    2020-12-18
    45378 3334 Pages:378-403
  • A New Explicit Immersed Boundary Method for Simulation of Fluid-Solid Interactions

    B. Harikrishnan, Zhen Chen, Chang Shu
    2020-12-18
    61828 3975 Pages:261-284
  • Anisotropic Yield Criterion for Metals Exhibiting Tension–Compression Asymmetry

    Lei Chen, Jian Zhang, Hongjian Zhang
    2020-12-21
    48881 3143 Pages:701-723
  • On the Equilibria of the Planar Equilateral Restricted Four-Body Problem with Radiation Pressure

    Shah Muhammad, Faisal Zaid Duraihem, Wei Chen, Euaggelos E. Zotos
    2021-04-13
    43566 3037 Pages:966-981
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