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Advances in Applied Mathematics and Mechanics
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  • Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flow

    Zejing Hu, M. N. Smirnova, N. N. Smirnov, Yongliang Zhang, Zuojin Zhu
    2023-06-21
    36315 2910 Pages:1315-1334
  • On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options Under Regime-Switching Kou’s Jump-Diffusion Models

    Xiaoting Gan, Junfeng Yin, Rui Li
    2023-06-21
    36721 2917 Pages:1290-1314
  • Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

    Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang
    2023-06-21
    37945 3118 Pages:1233-1255
  • A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos

    Shijie Qin, Shijun Liao
    2023-06-21
    38149 3023 Pages:1191-1215
  • A Well-Balanced Kinetic Scheme for Gas Dynamic Equations under Gravitational Field

    Kun Xu, Jun Luo, Songze Chen
    2010-02-01
    41438 3822 Pages:200-210
  • Comparison of Different Formulations for the Numerical Calculation of Unsteady Incompressible Viscoelastic Fluid Flow

    L. J. Amoreira, P. J. Oliveira
    2019-02-13
    42975 3814 Pages:483-502
  • Coarse Grained Molecular Dynamics Simulation of Interaction Between Hemagglutinin Fusion Peptides and Lipid Bilayer Membranes

    Naveen K. Vaidya, Huaxiong Huang, Shu Takagi
    2019-02-13
    39746 3669 Pages:430-450
  • Robust Semi-Discrete and Fully Discrete Hybrid Stress Finite Element Methods for Elastodynamic Problems

    Xiaojing Xu, Xiaoping Xie
    2018-05-05
    41886 3036 Pages:324-348
  • Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

    Kolade M. Owolabi, Abdon Atangana
    2021-07-01
    42738 3879 Pages:1438-1460
  • An Adaptive Semi-Lagrangian Level-Set Method for Convection-Diffusion Equations on Evolving Interfaces

    Weidong Shi, Jianjun Xu, Shi Shu
    2021-07-01
    42691 3824 Pages:1364-1382
  • 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
  • Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

    Liyong Zhu
    2018-05-05
    43341 4664 Pages:157-172
  • Moving Mesh Finite Element Method for Unsteady Navier-Stokes Flow

    Yirong Wu, Heyu Wang
    2018-08-04
    41428 3021 Pages:742-756
  • Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions

    K. H. Karlsen, J. D. Towers
    2018-08-04
    42949 4261 Pages:515-542 Open-access
  • Effect of Nonuniform Grids on High-Order Finite Difference Method

    Dan Xu, Xiaogang Deng, Yaming Chen, Guangxue Wang, Yidao Dong
    2018-05-05
    40777 2846 Pages:1012-1034
  • The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics

    Xiaojing Dong, Yinnian He
    2018-05-05
    42144 2997 Pages:775-794
  • Temporal Evolution and Scaling of Mixing in Turbulent Thermal Convection for Inhomogeneous Boundary Conditions

    Yikun Wei, Hua-Shu Dou, Zuchao Zhu, Zhengdao Wang, Yuehong Qian, Haihong Xue
    2018-05-05
    45213 3080 Pages:1035-1051
  • Numerical Simulation of Deflagration to Detonation Transition in a Straight Duct: Effects of Energy Release and Detonation Stability

    Hua-Shu Dou, Zongmin Hu, Boo Cheong Khoo, Zonglin Jiang
    2021-07-01
    43619 4506 Pages:718-731
  • A Layer-Integrated Model of Solute Transport in Heterogeneous Media

    Hung-En Chen, Hui-Ping Lee, Shih-Wei Chiang, Tung-Lin Tsai, Jinn-Chuang Yang
    2021-07-01
    43780 4383 Pages:699-717
  • Modified Ghost Fluid Method as Applied to Fluid-Plate Interaction

    Liang Xu, Tiegang Liu
    2014-06-01
    46075 5213 Pages:24-48
  • Lattice Boltzmann Study of a Vortex Ring Impacting Spheroidal Particles

    Chunlong Yu, Haibo Huang, Xiyun Lu
    2014-06-01
    43414 4499 Pages:461-477
  • Development of Lattice Boltzmann Flux Solver for Simulation of Incompressible Flows

    C. Shu, Y. Wang, C. J. Teo, J. Wu
    2014-06-01
    44549 4558 Pages:436-460
  • A Stochastic Collocation Method for Delay Differential Equations with Random Input

    Tao Zhou
    2014-06-01
    53679 4619 Pages:403-418 Open-access
  • Simulation of Vortex Convection in a Compressible Viscous Flow with Dynamic Mesh Adaptation

    C. H. Zhou
    2014-06-01
    42691 4358 Pages:590-603
  • Stability of Atomic Simulations with Matching Boundary Conditions

    Shaoqiang Tang, Songsong Ji
    2014-06-01
    42576 4271 Pages:539-551
  • Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma

    Jichun Li
    2018-08-10
    42956 4673 Pages:107-124
  • LWDG Method for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway

    Tiantian Sun, Jianxian Qiu
    2018-08-10
    40536 4006 Pages:438-450
217 - 243 of 326 items
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