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Advances in Applied Mathematics and Mechanics
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  • Moving Finite Element Simulations for Reaction-Diffusion Systems

    Guanghui Hu, Zhonghua Qiao, Tao Tang
    2012-04-01
    42538 4448 Pages:365-381
  • Modifying and Reducing Numerical Dissipation in a Two-Dimensional Central-Upwind Scheme

    Chi-Jer Yu, Chii-Tung Liu
    2012-04-01
    40575 4241 Pages:340-353
  • Isotropic Cloak Materials Design Based on the Numerical Optimization Method of the Inverse Medium Problem

    Wei Yang, Tiancheng Wang
    2022-01-24
    41812 3269 Pages:442-468
  • A Modified Characteristics Finite Element Method for the Electroneutral Micro-Fluids

    Zhiyong Si, Piaopiao Dong, Yunxia Wang
    2022-01-24
    41055 3299 Pages:386-414
  • Interaction of Radiation and Turbulent Natural Convection: A Pseudo-Direct Numerical Study

    Alexander Nee, Ali J. Chamkha
    2022-08-08
    264950 3703 Pages:1567-1586
  • 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
  • Numerical Analysis of Two-Grid Block-Centered Finite Difference Method for Two-Phase Flow in Porous Medium

    Jing Zhang, Hongxing Rui
    2022-08-08
    273823 3791 Pages:1433-1455
  • 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
  • A Conservative Upwind Approximation on Block-Centered Difference for Chemical Oil Recovery Displacement Problem

    Changfeng Li, Yirang Yuan, Aijie Cheng, Huailing Song
    2022-08-08
    300375 3940 Pages:1246-1275
  • Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials

    Shuainan Liu, Zhuojia Fu, Yan Gu
    2022-02-25
    47675 3308 Pages:759-776
  • 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
  • A Numerical-Analytical Method for Time-Fractional Dual-Phase-Lag Models of Heat Transfer

    Ji Lin, Sergiy Reutskiy, Wenjie Feng
    2022-02-25
    47406 3301 Pages:666-702
  • A Symmetric Inertial Alternating Direction Method of Multipliers for Elliptic Equation Constrained Optimization Problem

    Mengyue Wu, Wenbao Ai, Jianhua Yuan, Hui Tian
    2022-02-25
    48661 3417 Pages:596-621
  • 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
  • Alternating Cell Direction Implicit Method Using Approximate Factorization on Hybrid Grids

    Ali Ruhşen Çete, Oğuz Kaan Onay
    2022-02-25
    47957 3211 Pages:539-576
  • Analyzing Bending Problems of Plates on Elastic Foundations via Improved Element-Free Galerkin Method

    Heng Cheng, Dongqiong Liang, Fengbin Liu
    2025-11-28
    109 6
  • An Energy Stable SPH Method for Incompressible Fluid Flow

    Xingyu Zhu, Shuyu Sun, Jisheng Kou
    2022-06-13
    43885 3482 Pages:1201-1224
  • Numerical Solution for Neutral Delay Differential Equation of Constant or Proportional Type Using Hybrid Block Method

    Nur Inshirah Naqiah Ismail, Zanariah Abdul Majid, Norazak Senu
    2022-06-13
    42111 3457 Pages:1138-1160
  • A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation

    Fei Teng, Zhendong Luo
    2020-12-18
    43334 3231 Pages:355-377
  • Convergence Analysis of a Global-in-Time Iterative Decoupled Algorithm for Biot’s Model

    Huipeng Gu, Mingchao Cai, Jingzhi Li
    2025-03-14
    11091 781 Pages:778-803
  • Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

    Eric Ngondiep, Ali H. Tedjani
    2024-11-01
    15403 1374 Pages:1381-1409
  • WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

    Qin Li, Sun Dong, Fengyuan Xu
    2021-11-17
    49385 4068 Pages:1441-1484
  • Integrating Krylov Deferred Correction and Generalized Finite Difference Methods for Dynamic Simulations of Wave Propagation Phenomena in Long-Time Intervals

    Wenzhen Qu, Hongwei Gao, Yan Gu
    2021-11-17
    50669 4117 Pages:1398-1417
  • Numerical Solution of Steady-State Free Boundary Problems Using the Singular Boundary Method

    Fen Chen, Bin Zheng, Ji Lin, Wen Chen
    2020-10-20
    50918 4445 Pages:163-175
  • A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids

    Yangyang Liu, Liming Yang, Chang Shu, Huangwei Zhang
    2020-12-21
    46810 3272 Pages:671-700
  • High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao
    2021-04-13
    44910 3214 Pages:827-849
  • Numerical Schemes for Time-Space Fractional Vibration Equations

    Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang
    2021-04-13
    45507 3160 Pages:806-826
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