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  • A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

    Jialing Wang, Tingchun Wang, Yushun Wang
    2023-02-24
    DOI:10.4208/aamm.OA-2021-0219
    38435 3264 pp. 786-813
  • Convergence Accelerating in the Homotopy Analysis Method: A New Approach

    M. Turkyilmazoglu
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0196
    50214 3563 pp. 925-947
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2026-04-01
    DOI:10.4208/aamm.OA-2023-0282
    5088 241 pp. 724-755
  • Convergence Analysis of Legendre-Collocation Spectral Methods for Second Order Volterra Integro-Differential Equation with Delay

    Weishan Zheng, Yanping Chen, Yunqing Huang
    2019-01-11
    DOI:10.4208/aamm.OA-2018-0121
    44106 3165 pp. 486-500
  • Convergence Analysis on Stochastic Collocation Methods for the Linear Schrödinger Equation with Random Inputs

    Zhizhang Wu, Zhongyi Huang
    2020-03-06
    DOI:10.4208/aamm.OA-2019-0008
    49571 4881 pp. 30-56
  • Anderson Acceleration of Nonlinear Solvers for the Stationary Gross-Pitaevskii Equation

    Dominique Forbes, Leo G. Rebholz, Fei Xue
    2021-06-08
    DOI:10.4208/aamm.OA-2020-0270
    45879 3291 pp. 1096-1125
  • Application of Homotopy Analysis Method for Solving Systems of Volterra Integral Equations

    M. Matinfar, M. Saeidy, J. Vahidi
    2012-04-01
    DOI:10.4208/aamm.10-m1143
    42315 4765 pp. 36-45
  • Convergence Analysis for the Chebyshev Collocation Methods to Volterra Integral Equations with a Weakly Singular Kernel

    Xiong Liu, Yanping Chen
    2021-07-01
    DOI:10.4208/aamm.OA-2016-0049
    41838 3782 pp. 1506-1524
  • Optimal Convergence Rate of $\theta$--Maruyama Method for Stochastic Volterra Integro-Differential Equations with Riemann--Liouville Fractional Brownian Motion

    Mengjie Wang, Xinjie Dai, Aiguo Xiao
    2021-11-18
    DOI:10.4208/aamm.OA-2020-0384
    49745 4508 pp. 202-217
  • $(1+s)$-Order Convergence Analysis of Weak Galerkin Finite Element Methods for Second Order Elliptic Equations

    Yiying Wang, Yongkui Zou, Shimin Chai
    2020-12-21
    DOI:10.4208/aamm.OA-2020-0020
    47914 3259 pp. 554-568
  • Optimal Bicubic Finite Volume Methods on Quadrilateral Meshes

    Yanli Chen, Yonghai Li
    2018-05-05
    DOI:10.4208/aamm.2013.m401
    41962 3152 pp. 454-471
  • Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density

    Yuan Li, Xuewei Cui
    2024-12-02
    DOI:10.4208/aamm.OA-2023-0025
    14412 1298 pp. 263-294
  • Optimum Design of Structures for Earthquake Induced Loading by Genetic Algorithm Using Wavelet Transform

    Ali Heidari
    2010-02-01
    DOI:10.4208/aamm.09-m0932
    42741 4561 pp. 107-117
  • Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

    Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao
    2022-12-13
    DOI:10.4208/aamm.OA-2021-0263
    40942 3320 pp. 322-358
  • Convergence Analysis of the Spectral Methods for Weakly Singular Volterra Integro-Differential Equations with Smooth Solutions

    Yunxia Wei, Yanping Chen
    2012-04-01
    DOI:10.4208/aamm.10-m1055
    42939 4769 pp. 1-20
  • New Regularization and Error Estimate for the Cauchy Problem of the Nonlinear Helmholtz-Type Equation

    Zhenping Li, Xiangtuan Xiong
    2026-08-01
    DOI:10.4208/aamm.OA-2024-0180
    904 94 pp. 1269-1306
  • 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
  • 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
  • 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
  • Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

    Qiumei Huang, Min Wang
    2024-05-14
    DOI:10.4208/aamm.OA-2022-0341
    25547 2602 pp. 927-951
  • Convergence Analysis of a Global-in-Time Iterative Decoupled Algorithm for Biot’s Model

    Huipeng Gu, Mingchao Cai, Jingzhi Li
    2025-03-14
    DOI:10.4208/aamm.OA-2024-0074
    11510 881 pp. 778-803
  • Strong Convergence Analysis of Split-Step θ-Scheme for Nonlinear Stochastic Differential Equations with Jumps

    Xu Yang, Weidong Zhao
    2021-07-01
    DOI:10.4208/aamm.2015.m1208
    45409 4102 pp. 1004-1022
  • A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

    Yunxia Wang, Xuefeng Han, Zhiyong Si
    2020-03-06
    DOI:10.4208/aamm.OA-2019-0084
    48819 5111 pp. 251-277
  • Analysis and Application of Stochastic Collocation Methods for Maxwell's Equations with Random Inputs

    Jichun Li, Zhiwei Fang
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0101
    49178 4209 pp. 1305-1326
  • An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

    Yirang Yuan, Changfeng Li, Huailing Song
    2025-03-14
    DOI:10.4208/aamm.OA-2022-0207
    11559 902 pp. 706-731
  • Numerical Optimization and Noise Analysis of High-Tip-Speed Wind Turbine

    Long Wang, Guoping Chen, Tongguang Wang, Jiufa Cao
    2021-07-01
    DOI:10.4208/aamm.OA-2016-0171
    43035 3876 pp. 1461-1484
  • 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
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