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Advances in Applied Mathematics and Mechanics
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  • Harmonic Standing-Wave Excitations of Simply-Supported Thick-Walled Hollow Elastic Circular Cylinders: Exact 3D Linear Elastodynamic Response

    Jamal Sakhr, Blaine A. Chronik
    2020-10-20
    49849 4473 Pages:18-57
  • A Novel B-Spline Method for Modeling Transport Problems in Anisotropic Inhomogeneous Media

    Sergiy Reutskiy, Ji Lin, Bin Zheng, Jiyou Tong
    2020-12-21
    47424 3118 Pages:590-618
  • Analytical Solution for Vibration of Continuously Varying-Thickness Beams Resting on Pasternak Elastic Foundations

    Zhiyuan Li, Yepeng Xu, Dan Huang
    2021-04-13
    45426 3189 Pages:850-866
  • A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems

    M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler
    2013-05-01
    41874 4684 Pages:269-308
  • Error Estimate and Superconvergence of a High-Accuracy Difference Scheme for Solving Parabolic Equations with an Integral Two-Space-Variables Condition

    Liping Zhou, Shi Shu, Haiyuan Yu
    2018-09-17
    43913 3154 Pages:362-389
  • A Two-Way Interfacial Condition for Lattice Simulations

    Shaoqiang Tang
    2010-02-01
    42785 4668 Pages:45-55
  • A New Unified Form of Universal Wall Function

    Mingze Ma, Fanzhi Zeng, Chao Yan
    2024-02-29
    27710 2723 Pages:589-607
  • Localized Method of Fundamental Solutions for Acoustic Analysis Inside a Car Cavity with Sound-Absorbing Material

    Zengtao Chen, Fajie Wang
    2022-10-24
    44410 4281 Pages:182-201
  • A Hybrid Reconstruction Method Based upon the Characteristic Fields Decomposition of Compressible Euler Equations

    Ke Zhang, Yiqing Shen
    2025-09-29
    2298 44 Pages:1761-1788
  • 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
  • A Fully Discrete Method for Space-Time Fractional Parabolic Problems

    Zunlin Tan, Xiaoping Xie
    2025-11-28
    91 3
  • A New Composite Wall Function for Adverse Pressure Gradient Flows

    Yiming Du, Mingze Ma, Jinrong Zhang, Hanqi Song, Chao Yan
    2025-11-22
    166 1
  • The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

    Zhiyong Xing, Liping Wen
    2019-06-24
    44375 3171 Pages:942-956
  • A Treecode Algorithm for 3D Stokeslets and Stresslets

    Lei Wang, Svetlana Tlupova, Robert Krasny
    2019-06-24
    45382 4490 Pages:737-756 Open-access
  • A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems

    Fajie Wang, Chia-Ming Fan, Chuanzeng Zhang, Ji Lin
    2020-06-01
    54035 3430 Pages:940-958
  • A Posteriori Error Analysis of Any Order Finite Volume Methods for Elliptic Problems

    Yuanyuan Zhang, Min Yang
    2020-01-17
    45129 3229 Pages:564-578
  • 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
  • Unsteady MHD Non-Darcian Flow over a Vertical Stretching Plate Embedded in a Porous Medium with Thermal Non-Equilibrium Model

    D. Prakash, M. Muthtamilselvan, Xiao-Dong Niu
    2018-05-05
    43762 4557 Pages:52-66
  • Particle Scale Numerical Simulation on Momentum and Heat Transfer of Two Tandem Spheroids: An IB-LBM Study

    Chunhai Ke, Shi Shu, Hao Zhang, Haizhuan Yuan
    2021-07-01
    48219 3991 Pages:1497-1526
  • Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

    Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao
    2021-07-01
    56294 4549 Pages:1418-1439
  • An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

    Changfeng Li, Yirang Yuan, Huailing Song
    2021-07-01
    46374 3884 Pages:1384-1417
  • A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids

    Jian Cheng, Huiqiang Yue, Shengjiao Yu, Tiegang Liu
    2018-09-17
    47338 5285 Pages:1-21
  • Quadrotor Convergence Trajectory Optimization Model Based on Minimum Energy Consumption

    Biao Zhang, Peng Xiao, Hongliang Liu, Mingyue Ma, Qian Wang, Zhi Mao
    2018-09-17
    45497 3143 Pages:673-689
  • Solving the Navier-Lamé Equation in Cylindrical Coordinates Using the Buchwald Representation: Some Parametric Solutions with Applications

    Jamal Sakhr, Blaine A. Chronik
    2018-09-17
    47592 3452 Pages:1025-1056
  • Alternating Direction Implicit Finite Element Method for Multi-Dimensional Black-Scholes Models

    Limei Li, Alexander Lapin, Shuhua Zhang
    2019-01-11
    44992 3044 Pages:535-558
  • An Adaptive Time and Space Discretization Approach for Simulating Unsteady Navier-Stokes Flows

    Biao Peng, Chunhua Zhou, Junqiang Ai
    2019-01-11
    44173 3108 Pages:406-427
  • Multigrid Method for Poroelasticity Problem by Finite Element Method

    Luoping Chen, Yanping Chen
    2021-07-01
    48651 4421 Pages:1339-1357
136 - 162 of 266 items
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