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Advances in Applied Mathematics and Mechanics
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  • Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach

    Feng Liang, Xiaodong Yang, Wei Zhang, Yingjing Qian, Roderick V. N. Melnik
    2019-01-04
    46909 4809 Pages:38-52
  • 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
  • An Entropy Stable Scheme for the Multiclass Lighthill-Whitham-Richards Traffic Model

    Raimund Bürger, Héctor Torres, Carlos A. Vega
    2019-06-24
    44730 3170 Pages:1022-1047
  • A Second-Order Energy Stable BDF Numerical Scheme for the Viscous Cahn-Hilliard Equation with Logarithmic Flory-Huggins Potential

    Danxia Wang, Xingxing Wang, Hongen Jia
    2021-04-13
    44491 3200 Pages:867-891
  • Numerical Simulation of Tumor Growth Based on the Free Boundary Element Discretization

    Yarong Zhang, Yinnian He, Hongbin Chen
    2018-09-17
    44146 3084 Pages:529-553
  • A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

    Dianming Hou, Lili Ju, Zhonghua Qiao
    2024-07-22
    33439 2463 Pages:1009-1038
  • Time-Space Adaptive Finite Element Method for Nonlinear Schrödinger Equation

    Yaoyao Chen, Ying Liu, Hao Wang
    2024-12-02
    13959 1026 Pages:207-223
  • A Numerical Study of Integrated Linear Reconstruction for Steady Euler Equations Based on Finite Volume Scheme

    Guanghui Hu, Ruo Li, Xucheng Meng
    2024-01-04
    27984 2638 Pages:279-304
  • Radially Symmetrical Problems for Compressible Fluids with a High-Resolution Boundary Condition

    Zijin Zhu, Xiaoyan Hu, Guoxi Ni
    2022-12-13
    39824 3065 Pages:428-449
  • Three Indication Variables and Their Performance for the Troubled-Cell Indicator Using K-Means Clustering

    Zhihuan Wang, Zhen Gao, Haiyun Wang, Qiang Zhang, Hongqiang Zhu
    2022-12-13
    38460 2944 Pages:522-544
  • A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography

    Wei Guo, Ziming Chen, Shouguo Qian, Gang Li, Qiang Niu
    2023-10-11
    32079 2815 Pages:1515-1539
  • 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 Numerical Study of Two-Fluid Models with Pressure and Velocity Relaxation

    Svend Tollak Munkejord
    2010-02-01
    40382 3863 Pages:131-159
  • A Free Streaming Contact Preserving Scheme for the M1 Model

    C. Berthon, J. Dubois, B. Dubroca, T.-H. Nguyen-Bui, R. Turpault
    2018-11-01
    40260 3709 Pages:259-285
  • Large Eddy Simulation of Flow over a Cylinder Using High-Order Spectral Difference Method

    Abrar H. Mohammad, Z. J. Wang, Chunlei Liang
    2019-02-13
    40172 3835 Pages:451-466
  • Some Advances in Applications of Lattice Boltzmann Method for Complex Thermal Flows

    Ridha Djebali, Habib Sammouda, Mohammed El Ganaoui
    2021-01-25
    40611 4124 Pages:587-608
  • A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

    Hu Li, Jin Huang
    2018-05-05
    41914 2908 Pages:393-406
  • 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
  • Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

    Liyong Zhu
    2018-05-05
    43341 4664 Pages:157-172
  • Cosine Radial Basis Function Neural Networks for Solving Fractional Differential Equations

    Haidong Qu
    2018-08-04
    42361 3028 Pages:667-679
  • Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

    N. H. Sweilam, M. M. Abou Hasan
    2018-05-05
    42263 2900 Pages:990-1011
  • A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

    Zhongguo Zhou, Dong Liang
    2018-05-05
    42135 3025 Pages:795-817
  • A Switch Function-Based Gas-Kinetic Scheme for Simulation of Inviscid and Viscous Compressible Flows

    Yu Sun, Shu Chang, Liming Yang, C. J. Teo
    2018-05-05
    43082 3014 Pages:703-721
  • Tailored Finite Point Method for Numerical Solutions of Singular Perturbed Eigenvalue Problems

    Houde Han, Yin-Tzer Shih, Chih-Ching Tsai
    2014-06-01
    51267 4314 Pages:376-402
  • An Efficient Numerical Solution Method for Elliptic Problems in Divergence Form

    Ali Abbas
    2014-06-01
    41809 4239 Pages:327-344
  • A Stochastic Collocation Method for Delay Differential Equations with Random Input

    Tao Zhou
    2014-06-01
    53679 4619 Pages:403-418 Open-access
  • A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's

    Kosuke Abe, Nobuyuki Higashimori, Masayoshi Kubo, Hiroshi Fujiwara, Yuusuke Iso
    2014-06-01
    43914 4242 Pages:693-698
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