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Advances in Applied Mathematics and Mechanics
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  • Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

    Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng
    2018-09-17
    44679 3089 Pages:1191-1226
  • Mortar Element Method for the Coupling of Navier-Stokes and Darcy Flows

    Xin Zhao, Yanping Chen
    2018-09-17
    43675 2984 Pages:710-734
  • Hydrodynamic Regimes, Knudsen Layer, Numerical Schemes: Definition of Boundary Fluxes

    Christophe Besse, Saja Borghol, Thierry Goudon, Ingrid Lacroix-Violet, Jean-Paul Dudon
    2011-03-01
    40385 4038 Pages:519-561
  • Optimal Error Estimate of the Penalty FEM for the Stationary Conduction-Convection Problems

    Yanfang Lei, Hongtao Wang, Zhiyong Si
    2018-09-17
    42995 2894 Pages:767-784
  • Air Chemical Non-Equilibrium Effects on the Hypersonic Combustion Flow of RCS with Gaseous Ethylene Fuel

    Faming Zhao, Jiangfeng Wang, Xiaofeng Fan, Tianpeng Yang
    2018-09-17
    43834 3021 Pages:1261-1278
  • On Diagonal Form Fast Multipole Method for an Oscillatory Boundary Integral Equation

    Qinghua Wu
    2019-06-24
    44462 3116 Pages:1248-1262
  • A Three-Dimensional Gas-Kinetic BGK Scheme for Simulating Flows in Rotating Machinery

    Di Zhou, Zhiliang Lu, Tongqing Guo
    2019-01-04
    47327 4389 Pages:168-196
  • Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

    Yingxiong Xiao, Heng Chen and Lingjie Xie
    2021-07-01
    47916 4194 Pages:1376-1397
  • High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

    Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang
    2020-04-10
    46510 3286 Pages:664-693
  • Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

    Qiumei Huang, Min Wang
    2024-05-14
    25203 2512 Pages:927-951
  • A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

    Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang
    2019-06-24
    45405 3243 Pages:1084-1113
  • Error Estimates for Finite Element Approximation to Elliptic Optimal Control Problems with Boundary Observations in $H^{-\frac{1}{2}}(\Gamma)$

    Xuelin Tao
    2024-07-22
    25720 2302 Pages:1152-1175
  • Damage Identification of Truss Structures Based on Force Method

    Nam-Il Kim, Seunghye Lee, Namshik Ahn, Jaehong Lee
    2018-03-30
    41717 3147 Pages:229-244
  • The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

    Rooholah Abedian
    2025-05-12
    8325 494 Pages:1275-1309
  • A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River

    Luyu Shen, Changgen Lu, Weiguo Wu, Shifeng Xue
    2018-03-30
    42108 3086 Pages:180-195
  • Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

    Shu-Jie Li, Lili Ju
    2025-03-14
    11078 722 Pages:758-777
  • Modeling and Computation of CO2 Allowance Derivatives Under Jump-Diffusion Processes

    Shuhua Zhang, Jing Wang
    2018-05-05
    42501 3023 Pages:827-846
  • 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
  • Spectral Scheme for Nonlinear Volterra Integro-Differential Equation

    Weishan Zheng, Yanping Chen, Jianwei Zhou
    2025-07-19
    7586 477 Pages:1395-1410
  • Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations

    Wenhuan Zhang, Shibo Kuang, Zhenhua Chai, Baochang Shi
    2025-05-12
    8819 543 Pages:1037-1062
  • Sensitivity Analysis and Computations of the Time Relaxation Model

    Monika Neda, Fran Pahlevani, Jiajia Waters
    2018-03-29
    42578 4444 Pages:89-115
  • 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
  • Fluid-Structure Interaction Simulation of Heart Valve Flows by a Hybrid Immersed-Boundary/Body-Fitted-Grid Method

    Jingyang Wang, Chunhua Zhou, Zhendong Xu
    2025-07-19
    7507 460 Pages:1456-1480
  • Solution of Two-Dimensional Stokes Flow Problems Using Improved Singular Boundary Method

    Wenzhen Qu, Wen Chen
    2018-03-29
    43151 4858 Pages:13-30
  • Mathematical Models for the Propagation of Stress Waves in Elastic Rods: Exact Solutions and Numerical Simulation

    H. M. Tenkam, M. Shatalov, I. Fedotov, R. Anguelov
    2018-05-05
    40828 3046 Pages:257-270
  • An Efficient Semi-Analytical Method to Compute Displacements and Stresses in an Elastic Half-Space with a Hemispherical Pit

    Valeria Boccardo, Eduardo Godoy, Mario Durán
    2018-05-05
    42039 3118 Pages:295-322
  • Thermo-Solutal Natural Convection in an Anisotropic Porous Enclosure Due to Non-Uniform Temperature and Concentration at Bottom Wall

    Ashok Kumar, Pravez Alam, Prachi Fartyal
    2018-05-05
    42110 2980 Pages:644-662
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