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Advances in Applied Mathematics and Mechanics
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  • A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

    Guofei Pang, Wen Chen, Kam Yim Sze
    2018-05-05
    43675 4554 Pages:166-186
  • Stability Analysis and Order Improvement for Time Domain Differential Quadrature Method

    Fangzong Wang, Xiaobing Liao, Xiong Xie
    2018-05-05
    43634 4501 Pages:128-144
  • A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh

    Hongqiang Lu, Yida Xu, Yukun Gao, Wanglong Qin, Qiang Sun
    2018-05-05
    44347 4626 Pages:104-116
  • Improving the Stability of the Multiple-Relaxation-Time Lattice Boltzmann Method by a Viscosity Counteracting Approach

    Chunze Zhang, Yongguang Cheng, Shan Huang, Jiayang Wu
    2018-05-05
    44026 4679 Pages:37-51
  • 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 New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

    Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang
    2018-09-17
    44063 4798 Pages:242-260
  • An Efficient High Order Well-Balanced Finite Difference WENO Scheme for the Blood Flow Model

    Shouguo Qian, Gang Li, Xianqing Lv, Fengjing Shao
    2018-09-17
    52940 5247 Pages:22-40
  • 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
  • Modified Moving Least Square Collocation Method for Solving Wave Equations

    Zhentian Huang, Dong Lei, Yuan Wang
    2019-01-11
    44044 2969 Pages:518-534
  • Numerical Simulation of Non-Linear Schrödinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

    Yongxing Hong, Jun Lu, Ji Lin, Wen Chen
    2019-01-04
    46110 4988 Pages:108-131
  • 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
  • Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations

    Yuan Yu, Zuojian Qin, Siwei Chen, Shi Shu, Haizhuan Yuan
    2024-12-31
    13202 1211 Pages:489-516
  • 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
  • Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

    Yayun Fu, Hongliang Liu
    2025-05-12
    8359 515 Pages:1088-1110
  • Uniform Convergence Analysis of a Higher Order Hybrid Stress Quadrilateral Finite Element Method for Linear Elasticity Problems

    Yanhong Bai, Yongke Wu, Xiaoping Xie
    2018-05-05
    40770 3084 Pages:399-425
  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    41886 4574 Pages:353-385 Open-access
  • A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations

    Yue Zhou, Hang Xu
    2023-04-11
    37516 3085 Pages:964-983
  • 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
  • A Well-Balanced FVC Scheme for 2D Shallow Water Flows on Unstructured Triangular Meshes

    Moussa Ziggaf, Imad Kissami, Mohamed Boubekeur, Fayssal Benkhaldoun
    2023-06-21
    37328 2971 Pages:1335-1378
  • A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws

    Zixuan Zhang, Yidao Dong, Huaibao Zhang, Shichao Zheng, Xiaogang Deng
    2023-06-21
    37911 3019 Pages:1256-1289
  • 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
  • A Simplified Lattice Boltzmann Method Without Evolution of Distribution Function

    Z. Chen, C. Shu, Y. Wang, L. M. Yang, D. Tan
    2018-05-05
    44688 5340 Pages:1-22
  • A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids

    Hong Luo, Luqing Luo, Kun Xu
    2018-08-10
    41573 3914 Pages:301-318
  • An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

    Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun
    2020-07-24
    49484 3268 Pages:1196-1223
  • The Modified Localized Method of Approximated Particular Solutions for Linear and Nonlinear Convection-Diffusion-Reaction PDEs

    Wen Li, Kalani Rubasinghe, Guangming Yao, L. H. Kuo
    2020-07-24
    44555 3282 Pages:1113-1136
  • Multi-Symplectic Method for the Zakharov-Kuznetsov Equation

    Haochen Li, Jianqiang Sun, Mengzhao Qin
    2018-03-29
    42544 4543 Pages:58-73
  • Nonlinear Oscillations Analysis of the Elevator Cable in a Drum Drive Elevator System

    H. Askari, D. Younesian, Z. Saadatnia
    2018-03-29
    42718 4641 Pages:43-57
28 - 54 of 244 items
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