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Advances in Applied Mathematics and Mechanics
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  • Investigating Droplet and Bubble Deformation under Shear Flow Using the Multi-Pseudo-Potential Scheme of Lattice Boltzmann Method

    Raheleh Sharifi, Mostafa Varmazyar, Arash Mohammadi
    2024-01-04
    26551 2298 Pages:519-548
  • 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
  • Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method

    M. Salah, M. S. Matbuly, O. Civalek, Ola Ragb
    2024-01-04
    55158 3150 Pages:437-458
  • A Fast Implementation of the Linear Bond-Based Peridynamic Beam Model

    Hao Tian, Xianchu Yang, Chenguang Liu, Guilin Liu
    2024-01-04
    29424 2466 Pages:305-330
  • Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

    Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian
    2023-12-21
    26526 2309 Pages:208-236
  • Fundamentals of Lax-Wendroff Type Approach to Hyperbolic Problems with Discontinuities

    Jiequan Li
    2019-04-16
    48995 3226 Pages:571-582
  • Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations

    Baixue Xing, Hongliang Liu, Haodong Li, Zhenxing Fu
    2025-11-22
    168 4
  • Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

    Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao
    2022-12-13
    40564 3250 Pages:322-358
  • Spectral Galerkin Approximation of Fractional Optimal Control Problems with Fractional Laplacian

    Jiaqi Zhang, Yin Yang, Zhaojie Zhou
    2023-10-11
    30650 2720 Pages:1631-1654
  • A Convex Approximation for a PDE Constrained Fractional Optimization Problem with an Application to Photonic Crystal Design

    Mengyue Wu, Jianhua Yuan, Jianxin Zhang
    2023-10-11
    30829 2743 Pages:1540-1561
  • Construction of Non-Equilibrium Gas Distribution Functions Through Expansions in Peculiar Velocity Space

    Z. Y. Yuan, Z. Chen, C. Shu, Y. Y. Liu, Z. L. Zhang
    2023-10-11
    30629 2891 Pages:1456-1472
  • Partial Topology Identification of Stochastic Multi-Weighted Complex Networks Based on Graph-Theoretic Method and Adaptive Synchronization

    Huiling Chen, Chunmei Zhang, Yuli Feng, Qin Xu
    2023-10-11
    48765 2732 Pages:1428-1455
  • A Quadratic Finite Volume Method for Parabolic Problems

    Yuanyuan Zhang, Xiaoping Liu
    2023-10-11
    30374 2698 Pages:1407-1427
  • Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

    Xu Wang, Weidong Zhao
    2023-02-24
    38902 3360 Pages:737-768
  • Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients

    Xiaotong Li, Juan Liao, Wei Liu, Zhuo Xing
    2023-02-24
    40075 3363 Pages:651-683
  • A Two-Dimensional Thermoelastic Analysis of a Cylindrical Shell Made of FGM with Temperature-Dependent Physical Properties

    Hamed Panahi-Kalus, Amin Moosaie, Mehrdad Ahmadinejad
    2023-02-24
    37913 3468 Pages:623-650
  • A Conservative SAV-RRK Finite Element Method for the Nonlinear Schrödinger Equation

    Jun Yang, Nianyu Yi
    2023-02-24
    39942 3426 Pages:583-601
  • A Priori Error Estimates for Spectral Galerkin Approximations of Integral State-Constrained Fractional Optimal Control Problems

    Juan Zhang, Jiabin Song, Huanzhen Chen
    2023-02-24
    38911 3284 Pages:568-582
  • A Maximum-Principle-Preserving Finite Volume Scheme for Diffusion Problems on Distorted Meshes

    Dan Wu, Junliang Lv, Lei Lin, Zhiqiang Sheng
    2023-04-11
    38006 3131 Pages:1076-1108
  • Numerical Investigation of the Pulsatile Flow of Viscous Fluid in Constricted Wall Channel with Thermal Radiation

    Amjad Ali, Zainab Bukhari, Hamayun Farooq, Zaheer Abbas
    2023-04-11
    36335 2946 Pages:1001-1022
  • Broad Learning System with Preprocessing to Recover the Scattering Obstacles with Far–Field Data

    Weishi Yin, Hongyu Qi, Pinchao Meng
    2023-04-11
    39747 3098 Pages:984-1000
  • A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations

    Yue Zhou, Hang Xu
    2023-04-11
    37516 3085 Pages:964-983
  • A Coercivity Result of Quadratic Finite Volume Element Schemes over Triangular Meshes

    Xueying Wen, Yanhui Zhou
    2023-04-11
    37763 3178 Pages:901-931
  • The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations

    Shanshan Xu, Lin Wang, Wenqiang Wang
    2023-04-11
    38497 3190 Pages:852-879
  • 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
  • Influence of the Radial Inertia Effect on the Propagation Law of Stress Waves in Thin-Walled Tubes

    Shitang Cui, Yongliang Zhang
    2023-06-21
    36200 3048 Pages:1216-1232
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