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Advances in Applied Mathematics and Mechanics
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  • Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

    Yuping Li, Hui Liang, Huifang Yuan
    2025-05-12
    8366 513 Pages: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
    40866 3099 Pages:499-516
  • A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations

    Huayi Huang, Yunqing Huang, Qili Tang
    2023-06-21
    37872 3104 Pages:1142-1165
  • 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 Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

    Zhongguo Zhou, Dong Liang
    2018-05-05
    42135 3025 Pages:795-817
  • Improved Local Projection for the Generalized Stokes Problem

    Kamel Nafa
    2021-07-01
    40615 4075 Pages: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
    43524 4921 Pages:69-88
  • On Convergence of a Least-Squares Kansa's Method for the Modified Helmholtz Equations

    Ting-On Kwok, Leevan Ling
    2018-08-10
    41171 4088 Pages: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
    41051 3082 Pages: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
    41266 4365 Pages: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
    297911 4316 Pages: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
    49789 4381 Pages: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
    48661 3417 Pages:596-621
  • A Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation

    Weijun Zhan, Qian Guo
    2024-12-02
    14054 1105 Pages:295-314
  • 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
  • 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
    25738 2422 Pages:146-163
  • A Fast Matrix Splitting Iteration Method for Fractional Regime-Switching Option Pricing Model

    Yuhan Li, Mingkai Wang, Junfeng Yin
    2025-09-29
    5077 255 Pages:1742-1760
  • An Explicit Method for the Coupled Forward Backward Stochastic Differential Equations

    Xiao Tang, Jie Xiong
    2025-09-29
    5065 242 Pages: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
    2025-10-14
    4232 265 Pages:348-368
  • Meshfree Methods for the Helmholtz Equation with Variable Wave Speed

    Zhiyong Liu, Qiuyan Xu
    2025-10-14
    4196 251 Pages: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
    2025-10-14
    4144 266 Pages:267-295
  • Adaptive Finite Element Method for Simulating Graphene Surface Plasmon Resonance

    Jingrun Chen, Xuhong Liu, Jiangqiong Mao, Wei Yang
    2025-10-14
    4592 296 Pages:11-36
  • Analyzing Bending Problems of Plates on Elastic Foundations via Improved Element-Free Galerkin Method

    Heng Cheng, Dongqiong Liang, Fengbin Liu
    2025-11-28
    109 6
  • 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
    44516 3089 Pages: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
    44010 3248 Pages:807-837
  • A Modulus Iteration Method for SPSD Linear Complementarity Problem Arising in Image Retinex

    Xue Yang, Yu-Mei Huang
    2020-01-17
    47740 3072 Pages:579-598
  • The Convergence and Superconvergence of a MFEM for Elliptic Optimal Control Problems

    Hongbo Guan, Yong Yang, Huiqing Zhu
    2020-01-17
    46229 3079 Pages:527-544
28 - 54 of 249 items
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