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Advances in Applied Mathematics and Mechanics
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  • $(1+s)$-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
  • 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
  • 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
  • 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
    48661 3417 Pages:596-621
  • 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 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
  • Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

    Qing Cheng, Cheng Wang
    2021-11-17
    118609 5935 Pages:1318-1354
  • Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations

    Xiaoying Dai, Yan Pan, Bin Yang, Aihui Zhou
    2024-02-29
    27580 2607 Pages:636-666
  • 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
  • Finite Difference/Element Method for a Two-Dimensional Modified Fractional Diffusion Equation

    Na Zhang, Weihua Deng, Yujiang Wu
    2012-04-01
    42409 4603 Pages:496-518
  • A Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation with Time Dependent Dispersion Coefficients and Source Terms

    Eric Ngondiep
    2021-06-08
    45533 3141 Pages:1005-1026
  • 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
  • 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
  • A Reconstructed Discontinuous Approximation to Monge-Ampère Equation in Least Square Formulation

    Ruo Li, Fanyi Yang
    2023-06-21
    38264 3216 Pages:1109-1141
  • A Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation

    Weijun Zhan, Qian Guo
    2024-12-02
    14054 1105 Pages:295-314
  • 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
    44010 3248 Pages:807-837
  • A Finite Element Method by Patch Reconstruction for the Quad-Curl Problem Using Mixed Formulations

    Ruo Li, Qicheng Liu, Shuhai Zhao
    2024-12-31
    12863 1170 Pages:517-537
  • Two-Scale Picard Stabilized Finite Volume Method for the Incompressible Flow

    Jianhong Yang, Lei Gang, Jianwei Yang
    2014-06-01
    42481 4193 Pages:663-679
  • 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
  • Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method

    Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao
    2012-04-01
    41799 4518 Pages:439-453
  • Convergent Overdetermined-RBF-MLPG for Solving Second Order Elliptic PDEs

    Ahmad Shirzadi, Leevan Ling
    2018-08-10
    43736 4788 Pages:78-89
  • Asymptotic Error Analysis for the Discrete Iterated Galerkin Solution of Urysohn Integral Equations with Green’s Kernels

    Gobinda Rakshit
    2024-12-02
    14068 1280 Pages:175-206
  • First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

    Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang
    2025-10-29
    4466 106 Pages:666-699
  • A Crank-Nicolson Finite Difference Scheme for the (2+1)D Saturable Nonlinear Schrödinger Equation with Generalized Damping

    Anh Ha Le, Quan M. Nguyen
    2025-11-22
    185 2
  • A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

    Hongbo Guan, Wen Liu, Yong Yang
    2025-11-22
    158 3
1 - 27 of 57 items
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