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Advances in Applied Mathematics and Mechanics
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  • Convergence Accelerating in the Homotopy Analysis Method: A New Approach

    M. Turkyilmazoglu
    2018-09-17
    49861 3479 Pages:925-947
  • 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 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
  • Quadrotor Convergence Trajectory Optimization Model Based on Minimum Energy Consumption

    Biao Zhang, Peng Xiao, Hongliang Liu, Mingyue Ma, Qian Wang, Zhi Mao
    2018-09-17
    45497 3143 Pages:673-689
  • 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
  • On Convergence and Superconvergence of Discontinuous Galerkin Method for Semi-Explicit Index-1 Integro-Differential Algebraic Equations

    Haiyan Zhang, Hui Liang
    2025-09-29
    5000 251 Pages:1867-1894
  • Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

    Maoping Wang, Weihua Deng
    2025-10-29
    4501 112 Pages:724-755
  • 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
  • Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

    Dong Liu, Weihua Deng
    2025-05-12
    8299 493 Pages:1204-1238
  • 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
  • Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients

    Xiaotong Li, Juan Liao, Wei Liu, Zhuo Xing
    2023-02-24
    40075 3363 Pages:651-683
  • The Convergence of Euler-Maruyama Method of Nonlinear Variable-Order Fractional Stochastic Differential Equations

    Shanshan Xu, Lin Wang, Wenqiang Wang
    2023-04-11
    38497 3190 Pages:852-879
  • 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
  • Convergence of Monotone Schemes for Conservation Laws with Zero-Flux Boundary Conditions

    K. H. Karlsen, J. D. Towers
    2018-08-04
    42949 4261 Pages:515-542 Open-access
  • Convergence Rates of a Class of Predictor-Corrector Iterations for the Nonsymmetric Algebraic Riccati Equation Arising in Transport Theory

    Ning Dong, Jicheng Jin, Bo Yu
    2018-05-05
    42584 3009 Pages:944-963
  • Convergence of a Distributional Monte Carlo Method for the Boltzmann Equation

    Christopher R. Schrock, Aihua W. Wood
    2012-04-01
    42245 4700 Pages:102-121
  • Piecewise Spectral Collocation Method for Second Order Volterra Integro-Differential Equations with Nonvanishing Delay

    Zhenrong Chen, Yanping Chen, Yunqing Huang
    2022-08-08
    288583 3985 Pages:1333-1356
  • 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
  • ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

    Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang
    2025-09-29
    5014 252 Pages:1841-1866
  • Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition

    Chao Yue, Haoyong Zhuang, Longbin Zhao
    2025-09-29
    5032 250 Pages:1654-1681
  • A Mixed Formulation of Stabilized Nonconforming Finite Element Method for Linear Elasticity

    Bei Zhang, Jikun Zhao
    2020-03-06
    47150 4826 Pages:278-300
  • Discontinuous Galerkin Methods for Multi-Pantograph Delay Differential Equations

    Kun Jiang, Qiumei Huang, Xiuxiu Xu
    2020-03-06
    48412 5046 Pages:189-211
  • 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 and Quasi-Optimality of an Adaptive Continuous Interior Penalty Finite Element Method

    Lingxue Zhu, Zhenhua Zhou
    2019-01-11
    43335 3161 Pages:428-451
  • 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
1 - 27 of 249 items
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