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Advances in Applied Mathematics and Mechanics
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  • The Crank-Nicolson Hermite Cubic Orthogonal Spline Collocation Method for the Heat Equation with Nonlocal Boundary Conditions

    B. Bialecki, G. Fairweather, J. C. Lόpez-Marcos
    2021-01-13
    42988 4234 Pages:442-460
  • A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

    Jiansong Zhang, Yue Yu, Rong Qin, Zhaohui Liu
    2023-12-21
    25840 2233 Pages:164-180
  • A Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping

    Anh Ha Le, Quan M. Nguyen
    2025-11-22
    185 2
  • Modelling and Computation for the Valuation of Two-Period $R\&D$ Projects by Option Games

    Jiayue Zhang, Junlin Wang, Xinyu Wang
    2019-06-24
    47630 3444 Pages:957-979
  • Superconvergence Analysis for the Maxwell's Equations in Debye Medium with a Thermal Effect

    Changhui Yao, Dongyang Shi, Mengmeng Hou
    2020-03-06
    48073 4953 Pages:141-163
  • Convergence Accelerating in the Homotopy Analysis Method: A New Approach

    M. Turkyilmazoglu
    2018-09-17
    49861 3479 Pages:925-947
  • A New Size-Dependent Cylindrical Shell Element Based on Modified Couple Stress Theory

    Iman Soleimani, Yaghoub Tadi Beni, Fahimeh Mehralian
    2018-09-17
    47347 3487 Pages:819-844
  • Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

    Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng
    2018-09-17
    44679 3089 Pages:1191-1226
  • A Galerkin Splitting Symplectic Method for the Two Dimensional Nonlinear Schrödinger Equation

    Zhenguo Mu, Haochen Li, Yushun Wang, Wenjun Cai
    2018-09-17
    45536 3126 Pages:1069-1089
  • 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
  • High-Order Finite Volume Methods for Aerosol Dynamic Equations

    Ming Cui, Yanxin Su, Dong Liang
    2018-05-05
    41061 3046 Pages:213-235
  • Toward Cost-Effective Reservoir Simulation Solvers on GPUs

    Zheng Li, Shuhong Wu, Jinchao Xu, Chensong Zhang
    2021-07-01
    43570 4015 Pages:971-991
  • Numerical Simulations of Two Coaxial Vortex Rings Head-on Collision

    Hui Guan, Zhi-Jun Wei, Elizabeth Rumenova Rasolkova, Chui-Jie Wu
    2018-05-05
    41546 3029 Pages:616-647
  • 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
  • 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
  • A Quadratic Finite Volume Method for Parabolic Problems

    Yuanyuan Zhang, Xiaoping Liu
    2023-10-11
    30374 2698 Pages:1407-1427
  • Parallel Domain Decomposition-Based Solver for the Simulation of Flow over an Ahmed Reference Model

    Zhengzheng Yan, Rongliang Chen, Chao Wang, Lei Xu, Jingzhi Li
    2023-02-24
    38246 3224 Pages:769-785
  • 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
  • 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
  • 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
  • Modified Ghost Fluid Method as Applied to Fluid-Plate Interaction

    Liang Xu, Tiegang Liu
    2014-06-01
    46075 5213 Pages:24-48
  • 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
  • Stability of Atomic Simulations with Matching Boundary Conditions

    Shaoqiang Tang, Songsong Ji
    2014-06-01
    42576 4271 Pages:539-551
  • A Boundary Meshless Method for Solving Heat Transfer Problems Using the Fourier Transform

    A. Tadeu, C. S. Chen, J. Antόnio, Nuno Simões
    2011-03-01
    40755 4236 Pages:572-585
  • Complex Pattern Formations by Spatial Varying Parameters

    Siqing Li, Leevan Ling
    2021-07-01
    48768 4358 Pages:1327-1352
  • Vibration Control for Flexible Spacecraft Using Multi-Impulse Robust Input Shaper and Optimal Control Method

    Yanfeng Du, Cong Wang, Yan Zhou, Juncheng Lu
    2020-04-10
    45256 3309 Pages:797-814
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