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  • A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

    Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma
    2024-11-01
    DOI:10.4208/aamm.OA-2022-0302
    16176 1523 pp. 1358-1380
  • Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

    Yuping Li, Hui Liang, Huifang Yuan
    2025-05-12
    DOI:10.4208/aamm.OA-2024-0008
    8930 602 pp. 1111-1132
  • Impact of Linear Operator on the Convergence of HAM Solution: A Modified Operator Approach

    S. T. Hussain, S. Nadeem, M. Qasim
    2018-05-05
    DOI:10.4208/aamm.2014.m809
    41076 3165 pp. 499-516
  • A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations

    Huayi Huang, Yunqing Huang, Qili Tang
    2023-06-21
    DOI:10.4208/aamm.OA-2022-0200
    38142 3174 pp. 1142-1165
  • A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation

    Ruo Li, Fanyi Yang
    2023-06-21
    DOI:10.4208/aamm.OA-2022-0047
    38558 3293 pp. 1109-1141
  • A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

    Zhongguo Zhou, Dong Liang
    2018-05-05
    DOI:10.4208/aamm.2015.m1049
    42363 3101 pp. 795-817
  • Improved Local Projection for the Generalized Stokes Problem

    Kamel Nafa
    2021-07-01
    DOI:10.4208/aamm.09-m09S07
    40870 4192 pp. 862-873
  • An Algebraic Multigrid Method for Nearly Incompressible Elasticity Problems in Two-Dimensions

    Yingxiong Xiao, Shi Shu, Hongmei Zhang, Yuan Ouyang
    2018-08-10
    43758 5052 pp. 69-88
  • On Convergence of a Least-Squares Kansa's Method for the Modified Helmholtz Equations

    Ting-On Kwok, Leevan Ling
    2018-08-10
    41416 4215 pp. 367-382
  • Nonlinear Stability and B-convergence of Additive Runge-Kutta Methods for Nonlinear Stiff Problems

    Chao Yue, Aiguo Xiao, Hongliang Liu
    2018-05-05
    DOI:10.4208/aamm.2013.m230
    41274 3145 pp. 472-495
  • Convergence of Linear Multistep Methods and One-Leg Methods for Index-2 Differential-Algebraic Equations with a Variable Delay

    Hongliang Liu, Aiguo Xiao
    2012-04-01
    DOI:10.4208/aamm.10-m11179
    41475 4497 pp. 636-646
  • Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

    Hongliang Liu, Yameng Zhang, Haodong Li, Shoufu Li
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0106
    298177 4402 pp. 1276-1301
  • Convergence Analysis and Error Estimate for Distributed Optimal Control Problems Governed by Stokes Equations with Velocity-Constraint

    Liang Ge, Haifeng Niu, Jianwei Zhou
    2021-11-18
    DOI:10.4208/aamm.OA-2020-0302
    50103 4521 pp. 33-55
  • A Symmetric Inertial Alternating Direction Method of Multipliers for Elliptic Equation Constrained Optimization Problem

    Mengyue Wu, Wenbao Ai, Jianhua Yuan, Hui Tian
    2022-02-25
    DOI:10.4208/aamm.OA-2020-0400
    48931 3485 pp. 596-621
  • A Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation

    Weijun Zhan, Qian Guo
    2024-12-02
    DOI:10.4208/aamm.OA-2022-0240
    14453 1306 pp. 295-314
  • Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations

    Xiaoying Dai, Yan Pan, Bin Yang, Aihui Zhou
    2024-02-29
    DOI:10.4208/aamm.OA-2023-0099
    27881 2704 pp. 636-666
  • A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

    Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang
    2023-12-21
    DOI:10.4208/aamm.OA-2022-0049
    26042 2568 pp. 146-163
  • Unconditionally Energy-Dissipation- and Maximum-Bound-Principle-Preserving Scheme for the Time-Fractional Allen-Cahn Equation

    Dongdong Hu, Haorong Huang, Yayun Fu, Minghua Chen
    2025-12-22
    DOI:10.4208/aamm.OA-2025-0003
    1309 100 pp. 1503-1530
  • A Fast Matrix Splitting Iteration Method for Fractional Regime-Switching Option Pricing Model

    Yuhan Li, Mingkai Wang, Junfeng Yin
    2025-09-29
    DOI:10.4208/aamm.OA-2023-0271
    7307 379 pp. 1742-1760
  • An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations

    Xiao Tang, Jie Xiong
    2025-09-29
    DOI:10.4208/aamm.OA-2024-0026
    7288 364 pp. 1682-1714
  • 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
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0150
    5003 468 pp. 348-368
  • Meshfree Methods for the Helmholtz Equation with Variable Wave Speed

    Zhiyong Liu, Qiuyan Xu
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0117
    4948 442 pp. 296-321
  • An Effective $\ell_p$-Nonconvex Regularization Method for Image Smoothing

    Biao Fang, Xiao-Guang Lv, Guo-Liang Zhu, Le Jiang, Jia-Qi Mei
    2026-02-01
    DOI:10.4208/aamm.OA-2023-0315
    4892 461 pp. 267-295
  • Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance

    Jingrun Chen, Xuhong Liu, Jiangqiong Mao, Wei Yang
    2026-02-01
    DOI:10.4208/aamm.OA-2024-0069
    5399 521 pp. 11-36
  • A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

    Zhenming Wang, Jun Zhu, Ning Zhao
    2019-06-24
    DOI:10.4208/aamm.OA-2018-0184
    44751 3168 pp. 911-941
  • 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
    DOI:10.4208/aamm.OA-2018-0050
    44248 3323 pp. 807-837
  • A Modulus Iteration Method for SPSD Linear Complementarity Problem Arising in Image Retinex

    Xue Yang, Yu-Mei Huang
    2020-01-17
    DOI:10.4208/aamm.OA-2019-0207
    47982 3143 pp. 579-598
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