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  • Spectral Scheme for Nonlinear Volterra Integro-Differential Equation

    Weishan Zheng, Yanping Chen, Jianwei Zhou
    2025-07-19
    DOI:10.4208/aamm.OA-2022-0164
    8226 587 pp. 1395-1410
  • 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
    DOI:10.4208/aamm.OA-2022-0214
    31109 2811 pp. 1473-1514
  • A Novel Wavelet-Homotopy Galerkin Method for Unsteady Nonlinear Wave Equations

    Yue Zhou, Hang Xu
    2023-04-11
    DOI:10.4208/aamm.OA-2022-0046
    37755 3155 pp. 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
    DOI:10.4208/aamm.2014.m713
    42040 3030 pp. 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
    DOI:10.4208/aamm.2015.m1115
    44124 4634 pp. 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
    DOI:10.4208/aamm.2013.m163
    42841 4934 pp. 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
    DOI:10.4208/aamm.OA-2022-0048
    44118 4002 pp. 69-93
  • 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
    2026-06-01
    DOI:10.4208/aamm.OA-2024-0018
    4322 109 pp. 1058-1086
  • An Absolutely Stabilized Virtual Element Method for the Incompressible Stokes Equations

    Xi Zhang, Minfu Feng
    2025-09-29
    DOI:10.4208/aamm.OA-2023-0281
    7259 415 pp. 1625-1653
  • Nonconforming Finite Element Method for the Obstacle Problem of the $p$-Laplacian

    H. Y. Liu, D. J. Liu
    2026-04-01
    DOI:10.4208/aamm.OA-2023-0280
    5140 342 pp. 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
    DOI:10.4208/aamm.OA-2018-0198
    48570 3368 pp. 336-361
  • Stabilized Finite Element Methods for Biot's Consolidation Problems Using Equal Order Elements

    Gang Chen, Minfu Feng
    2018-09-17
    DOI:10.4208/aamm.2016.m1182
    46012 5509 pp. 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
    DOI:10.4208/aamm.OA-2017-0046
    44800 3234 pp. 652-672
  • An EDG Method for Distributed Optimal Control of Elliptic PDEs

    Xiao Zhang, Yangwen Zhang, John Singler
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0223
    47147 3622 pp. 797-818
  • Lower Bounds of Eigenvalues of the Stokes Operator by Nonconforming Finite Elements on Local Quasi-Uniform Grids

    Youai Li
    2019-01-04
    DOI:10.4208/aamm.OA-2018-0061
    46455 4558 pp. 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
    DOI:10.4208/aamm.OA-2022-0182
    15465 1434 pp. 1502-1518
  • Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

    Lina Ma, Cheng Wang, Zeyu Xia
    2024-12-31
    DOI:10.4208/aamm.OA-2023-0118
    13391 1255 pp. 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
    DOI:10.4208/aamm.OA-2023-0244
    13654 1337 pp. 373-406
  • Penalty Finite Element Method for the 2D/3D Unsteady Incompressible Thermomicropolar Fluid Equations

    Junru Guo, Demin Liu
    2025-07-19
    DOI:10.4208/aamm.OA-2023-0238
    8143 582 pp. 1509-1549
  • A Modified Nonconforming 5-Node Quadrilateral Transition Finite Element

    Feiteng Huang, Xiaoping Xie
    2021-07-01
    DOI:10.4208/aamm.09-m09110
    41423 5188 pp. 784-797
  • A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

    Hu Li, Jin Huang
    2018-05-05
    DOI:10.4208/aamm.2015.m1287
    42158 2980 pp. 393-406
  • A Stabilized Finite Element Method for Non-Stationary Conduction-Convection Problems

    Ke Zhao, Yinnian He, Tong Zhang
    2018-08-10
    DOI:10.4208/aamm.10-m1042
    41643 4397 pp. 239-258
  • A Modified Characteristics Finite Element Method for the Electroneutral Micro-Fluids

    Zhiyong Si, Piaopiao Dong, Yunxia Wang
    2022-01-24
    DOI:10.4208/aamm.OA-2020-0327
    41335 3387 pp. 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
    DOI:10.4208/aamm.OA-2021-0233
    284986 3980 pp. 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
    DOI:10.4208/aamm.OA-2020-0123
    44807 3286 pp. 867-891
  • Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels

    Gobinda Rakshit
    2024-12-02
    DOI:10.4208/aamm.OA-2023-0004
    14440 1521 pp. 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
    DOI:10.4208/aamm.OA-2016-0055
    45000 3213 pp. 301-321
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