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Advances in Applied Mathematics and Mechanics
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  • An Energy Stable SPH Method for Incompressible Fluid Flow

    Xingyu Zhu, Shuyu Sun, Jisheng Kou
    2022-06-13
    43885 3482 Pages:1201-1224
  • 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
  • High-Resolution Upwind Strategy for the MLS Method with Applications to Convection Dominated Diffusion Problems

    Xueying Zhang, Nuoya Cui, Yangjiong Wu
    2025-07-19
    7507 501 Pages:1353-1369
  • Localized Method of Fundamental Solutions for Three-Dimensional Elasticity Problems: Theory

    Yan Gu, Chia-Ming Fan, Zhuojia Fu
    2021-11-17
    49979 4042 Pages:1520-1534
  • Identification of Elastic Orthotropic Material Parameters by the Singular Boundary Method

    Bin Chen, Wen Chen, Xing Wei
    2018-05-05
    42136 2954 Pages:810-826
  • The Fictitious Domain Method with Sharp Interface for Elasticity Systems with General Jump Embedded Boundary Conditions

    Mohamed Kara, Salim Mesbahi, Philippe Angot
    2020-10-20
    49530 4513 Pages:119-139
  • A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

    Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji
    2021-06-08
    45031 3067 Pages:1261-1292
  • 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 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
  • The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity

    Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu
    2024-12-02
    13935 1022 Pages:240-262
  • 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
  • SAV Finite Element Method for the Peng-Robinson Equation of State with Dynamic Boundary Conditions

    Changhui Yao, Zhaoyue Du, Lei Yang
    2022-10-24
    44586 4058 Pages:139-158
  • A Direct-Forcing Immersed Boundary Projection Method for Thermal Fluid-Solid Interaction Problems

    Cheng-Shu You, Po-Wen Hsieh, Suh-Yuh Yang
    2022-10-24
    43685 4155 Pages:1-29
  • 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
  • On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

    Pouria Assari, Mehdi Dehghan
    2019-06-24
    44010 3248 Pages:807-837
  • A Partial RKDG Method for Solving the 2D Ideal MHD Equations Written in Semi-Lagrangian Formulation on Moving Meshes with Exactly Divergence-Free Magnetic Field

    Shijun Zou, Xijun Yu, Zihuan Dai, Fang Qing, Xiaolong Zhao
    2023-04-11
    38225 3299 Pages:932-963
  • Evaluating the Origin Intensity Factor in the Singular Boundary Method for Three-Dimensional Dirichlet Problems

    Linlin Sun, Wen Chen, Alexander H.-D. Cheng
    2021-07-01
    43107 3872 Pages:1289-1311
  • 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 Simple Implementation of the Semi-Lagrangian Level-Set Method

    Weidong Shi, Jian-Jun Xu, Shi Shu
    2018-05-05
    43452 4558 Pages:104-124
  • Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes

    Haitian Lu, Jun Zhu, Chunwu Wang, Ning Zhao
    2018-05-05
    44461 5284 Pages:73-91
  • A Combined Discontinuous Galerkin Method for Saltwater Intrusion Problem with Splitting Mixed Procedure

    Jiansong Zhang, Jiang Zhu, Danping Yang
    2018-08-04
    42128 3027 Pages:651-666
  • Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation

    Yanhua Cao, Song Luo
    2025-09-29
    5028 246 Pages:1789-1812
  • Modified Ghost Fluid Method as Applied to Fluid-Plate Interaction

    Liang Xu, Tiegang Liu
    2014-06-01
    46075 5213 Pages:24-48
  • An SAV Method for Imaginary Time Gradient Flow Model in Density Functional Theory

    Ting Wang, Jie Zhou, Guanghui Hu
    2023-02-24
    38988 3734 Pages:719-736 Open-access
  • A Stochastic Collocation Method for Delay Differential Equations with Random Input

    Tao Zhou
    2014-06-01
    53679 4619 Pages:403-418 Open-access
  • An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

    Yirang Yuan, Changfeng Li, Huailing Song
    2025-03-14
    11184 805 Pages:706-731
  • Two-Scale Picard Stabilized Finite Volume Method for the Incompressible Flow

    Jianhong Yang, Lei Gang, Jianwei Yang
    2014-06-01
    42481 4193 Pages:663-679
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