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Advances in Applied Mathematics and Mechanics
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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
    38118 3194 Pages:786-813
  • Convergence Accelerating in the Homotopy Analysis Method: A New Approach

    M. Turkyilmazoglu
    2018-09-17
    49861 3479 Pages:925-947
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages: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
    43871 3106 Pages:486-500
  • Convergence Analysis on Stochastic Collocation Methods for the Linear Schrödinger Equation with Random Inputs

    Zhizhang Wu, Zhongyi Huang
    2020-03-06
    49303 4736 Pages:30-56
  • Anderson Acceleration of Nonlinear Solvers for the Stationary Gross-Pitaevskii Equation

    Dominique Forbes, Leo G. Rebholz, Fei Xue
    2021-06-08
    45627 3221 Pages:1096-1125
  • Application of Homotopy Analysis Method for Solving Systems of Volterra Integral Equations

    M. Matinfar, M. Saeidy, J. Vahidi
    2012-04-01
    42093 4632 Pages: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
    41600 3719 Pages: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
    49427 4323 Pages: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
    47617 3168 Pages:554-568
  • Optimal Bicubic Finite Volume Methods on Quadrilateral Meshes

    Yanli Chen, Yonghai Li
    2018-05-05
    41771 3097 Pages: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
    13939 1092 Pages:263-294
  • Optimum Design of Structures for Earthquake Induced Loading by Genetic Algorithm Using Wavelet Transform

    Ali Heidari
    2010-02-01
    42491 4502 Pages: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
    40564 3250 Pages: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
    42689 4632 Pages:1-20
  • 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
    15838 1410 Pages: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
    40866 3099 Pages: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
    49789 4381 Pages:33-55
  • Nonpolynomial Jacobi Spectral-Collocation Method for Weakly Singular Fredholm Integral Equations of the Second Kind

    Qiumei Huang, Min Wang
    2024-05-14
    25203 2512 Pages: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
    11091 781 Pages:778-803
  • Strong Convergence Analysis of Split-Step θ-Scheme for Nonlinear Stochastic Differential Equations with Jumps

    Xu Yang, Weidong Zhao
    2021-07-01
    45199 4037 Pages:1004-1022
  • A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

    Yunxia Wang, Xuefeng Han, Zhiyong Si
    2020-03-06
    48557 4939 Pages:251-277
  • Analysis and Application of Stochastic Collocation Methods for Maxwell's Equations with Random Inputs

    Jichun Li, Zhiwei Fang
    2021-07-01
    48912 4138 Pages: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
    11184 805 Pages:706-731
  • Numerical Optimization and Noise Analysis of High-Tip-Speed Wind Turbine

    Long Wang, Guoping Chen, Tongguang Wang, Jiufa Cao
    2021-07-01
    42815 3802 Pages: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
    42606 4797 Pages:74-88
  • Superconvergence of bi-$k$ Degree Time-Space Fully Discontinuous Finite Element for First-Order Hyperbolic Equations

    Hongling Hu, Chuanmiao Chen
    2018-05-05
    42511 3113 Pages:323-337
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