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Advances in Applied Mathematics and Mechanics
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  • Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

    Yingxiong Xiao, Heng Chen and Lingjie Xie
    2021-07-01
    47916 4194 Pages:1376-1397
  • A Fast Preconditioning Strategy for QSC-CN Scheme of Space Fractional Diffusion Equations and Its Spectral Analysis

    Wei Qu, Yuanyuan Huang, Siu-Long Lei
    2024-11-01
    15609 1357 Pages:1474-1501
  • 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
  • The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

    Jinting Yang, Hongxia Liang, Tong Zhang
    2021-07-01
    47534 4104 Pages:1481-1519
  • New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

    Yan Zhang, Jun Zhu
    2024-01-04
    26800 2430 Pages:459-492
  • A Fast Matrix Splitting Iteration Method for Fractional Regime-Switching Option Pricing Model

    Yuhan Li, Mingkai Wang, Junfeng Yin
    2025-09-29
    5077 255 Pages:1742-1760
  • On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

    Pouria Assari, Mehdi Dehghan
    2019-06-24
    44010 3248 Pages:807-837
  • Mixed Finite Element Methods for Elastodynamics Problems in the Symmetric Formulation

    Yan Yang, Shiquan Zhang
    2018-09-17
    43771 3071 Pages:1279-1304
  • Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

    Eric Ngondiep, Ali H. Tedjani
    2024-11-01
    15403 1374 Pages:1381-1409
  • Finite Element Method Coupling Penalty Method for Flexural Shell Model

    Xiaoqin Shen, Yongjie Xue, Qian Yang, Shengfeng Zhu
    2022-01-24
    42075 3243 Pages:365-385
  • High Order Efficient Algorithm for Computation of MHD Flow Ensembles

    Muhammad Mohebujjaman
    2022-06-13
    43098 3456 Pages:1111-1137
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    118609 5935 Pages:1318-1354
  • A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation with Time Dependent Dispersion Coefficients and Source Terms

    Eric Ngondiep
    2021-06-08
    45533 3141 Pages:1005-1026
  • HAM-Schrödingerisation: A Generic Framework of Quantum Simulation for Any Nonlinear PDEs

    Shijun Liao
    2025-10-14
    4813 338 Pages:1-10
  • A New Fictitious Domain Method for Elliptic Problems with the Third Type Boundary Conditions

    Qiaolin He, Xiaomin Lv
    2018-09-17
    44789 3105 Pages:634-651
  • 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
  • Moving Finite Element Methods for a System of Semi-Linear Fractional Diffusion Equations

    Jingtang Ma, Zhiqiang Zhou
    2021-07-01
    43848 4049 Pages:911-931
  • A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints

    Qiang Yu, Shuaimin Wang, Junfeng Xiao, Hang Xu
    2023-10-11
    30798 2732 Pages:1473-1514
  • 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
  • An Acceleration Method for Stationary Iterative Solution to Linear System of Equations

    Qun Lin, Wujian Peng
    2012-04-01
    41587 4636 Pages:473-482
  • Legendre Neural Network for Solving Linear Variable Coefficients Delay Differential-Algebraic Equations with Weak Discontinuities

    Hongliang Liu, Jingwen Song, Huini Liu, Jie Xu, Lijuan Li
    2020-10-20
    54001 4823 Pages:101-118
  • Algebraic Multigrid Block Triangular Preconditioning for Multidimensional Three-Temperature Radiation Diffusion Equations

    Shi Shu, Menghuan Liu, Xiaowen Xu, Xiaoqiang Yue, Shengguo Li
    2021-06-08
    45160 3187 Pages:1203-1226
  • A Matrix-Vector Operation-Based Numerical Solution Method for Linear $m$-th Order Ordinary Differential Equations: Application to Engineering Problems

    M. Aminbaghai, M. Dorn, J. Eberhardsteiner, B. Pichler
    2013-05-01
    41874 4684 Pages:269-308
  • 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
  • Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

    Chao Lu, Qinghua Li, Tong Zhang
    2025-10-04
    4619 135 Pages:601-641
  • A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations

    Rong An, Can Zhou, Jian Su
    2020-01-17
    47190 3235 Pages:362-385
  • Error Estimates for Finite Element Approximation to Elliptic Optimal Control Problems with Boundary Observations in $H^{-\frac{1}{2}}(\Gamma)$

    Xuelin Tao
    2024-07-22
    25720 2302 Pages:1152-1175
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