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Advances in Applied Mathematics and Mechanics
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  • 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
  • A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations

    Yue Zhou, Hang Xu
    2023-04-11
    37516 3085 Pages:964-983
  • Analysis of Solving Galerkin Finite Element Methods with Symmetric Pressure Stabilization for the Unsteady Navier-Stokes Equations Using Conforming Equal Order Interpolation

    Gang Chen, Minfu Feng
    2018-05-05
    41820 2979 Pages:362-377
  • On the Factors Affecting the Accuracy and Robustness of Smoothed-Radial Point Interpolation Method

    Abderrachid Hamrani, Idir Belaidi, Eric Monteiro, Philippe Lorong
    2018-05-05
    43918 4527 Pages:43-72
  • Convergence Analysis of Legendre-Collocation Methods for Nonlinear Volterra Type Integro Equations

    Yin Yang, Yanping Chen, Yunqing Huang, Wei Yang
    2018-03-29
    42606 4797 Pages:74-88
  • Multi-Modes Multiscale Approach of Heat Transfer Problems in Heterogeneous Solids with Uncertain Thermal Conductivity

    Shan Zhang, Zihao Yang, Xiaofei Guan
    2022-10-24
    43819 3859 Pages:69-93
  • An Absolutely Stabilized Virtual Element Method for the Incompressible Stokes Equations

    Xi Zhang, Minfu Feng
    2025-09-29
    5020 273 Pages:1625-1653
  • Nonconforming Finite Element Method for the Obstacle Problem of the $p$-Laplacian

    H. Y. Liu, D. J. Liu
    2025-10-29
    4504 196 Pages:434-449
  • An Alternating Direction Method of Multipliers for Optimal Control Problems Constrained with Elliptic Equations

    Jinda Yang, Kai Zhang, Haiming Song, Ting Cheng
    2020-01-17
    48329 3301 Pages:336-361
  • Stabilized Finite Element Methods for Biot's Consolidation Problems Using Equal Order Elements

    Gang Chen, Minfu Feng
    2018-09-17
    45747 5360 Pages:77-99
  • Adjoint-Based Adaptive Isogeometric Discontinuous Galerkin Method for Euler Equations

    Shengjiao Yu, Renzhong Feng, Huiqiang Yue, Zheng Wang, Tiegang Liu
    2018-09-17
    44540 3165 Pages:652-672
  • An EDG Method for Distributed Optimal Control of Elliptic PDEs

    Xiao Zhang, Yangwen Zhang, John Singler
    2018-09-17
    46909 3541 Pages:797-818
  • Lower Bounds of Eigenvalues of the Stokes Operator by Nonconforming Finite Elements on Local Quasi-Uniform Grids

    Youai Li
    2019-01-04
    46198 4352 Pages:241-254
  • Superconvergence Error Estimate of the Bilinear-Constant Scheme for the Stokes Equations with Damping

    Huaijun Yang, Lele Wang, Xin Liao
    2024-11-01
    15169 1359 Pages:1502-1518
  • Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

    Lina Ma, Cheng Wang, Zeyu Xia
    2024-12-31
    13013 1149 Pages:633-662
  • Improvements to Enhance Robustness of Third-Order Scale-Independent WENO-Z Schemes

    Qin Li, Pan Yan, Xiao Huang, Yihui Weng, Yancheng You, Yi Duan
    2024-12-31
    13213 1219 Pages:373-406
  • Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

    Junru Guo, Demin Liu
    2025-07-19
    7516 462 Pages:1509-1549
  • A Modified Nonconforming 5-Node Quadrilateral Transition Finite Element

    Feiteng Huang, Xiaoping Xie
    2021-07-01
    41191 5064 Pages:784-797
  • 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
  • A Stabilized Finite Element Method for Non-Stationary Conduction-Convection Problems

    Ke Zhao, Yinnian He, Tong Zhang
    2018-08-10
    41437 4284 Pages:239-258
  • A Modified Characteristics Finite Element Method for the Electroneutral Micro-Fluids

    Zhiyong Si, Piaopiao Dong, Yunxia Wang
    2022-01-24
    41055 3299 Pages:386-414
  • Two-Grid Crank-Nicolson Finite Volume Element Method for the Time-Dependent Schrödinger Equation

    Chuanjun Chen, Yuzhi Lou, Tong Zhang
    2022-08-08
    284711 3905 Pages:1357-1380
  • 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
  • Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels

    Gobinda Rakshit
    2024-12-02
    14068 1280 Pages:175-206
  • A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain

    Ajmia Younes Orfi, Driss Yakoubi
    2018-09-17
    44766 3155 Pages:301-321
  • Convergence Analysis of a Weak Galerkin Finite Element Method on a Bakhvalov-Type Mesh for a Singularly Perturbed Convection-Diffusion Equation in 2D

    Shicheng Liu, Xiangyun Meng, Qilong Zhai
    2025-10-14
    4232 265 Pages:348-368
  • A Discrete Collocation Technique using the Thin Plate Splines for Solving a Certain Class of Integro-Differential Equations Arising in Biology Models

    Pouria Assari, Fatemeh Asadi-Mehregan, Mehdi Dehghan
    2025-11-22
    169 2
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