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Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
作者:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
收藏  |  浏览/下载：102/0  |  提交时间：2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
The energy-preserving time high-order AVF compact finite difference scheme for nonlinear wave equations in two dimensions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 170, 页码: 298-320
作者:  Hou, Baohui;  Liang, Dong
收藏  |  浏览/下载：121/0  |  提交时间：2022/04/02
AVF method  CFD operator  Time high-order  Energy conservation  Convergence  Nonlinear wave equations  
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
作者:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
收藏  |  浏览/下载：201/0  |  提交时间：2021/01/14
Multi-term time-space derivatives  Fractional nonlinear diffusion-wave equations  Finite difference schemes  Stability  Convergence  Fast ADI scheme  
Space-time finite element method for the distributed-order time fractional reaction diffusion equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 446-465
作者:  Bu, Weiping;  Ji, Lun;  Tang, Yifa;  Zhou, Jie
收藏  |  浏览/下载：145/0  |  提交时间：2020/05/24
Distributed-order reaction diffusion equation  Space-time finite element method  Graded time mesh  Well-posedness  Error estimate  Sum-of-exponentials approximation  
The nonconforming virtual element method for parabolic problems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 143, 页码: 97-111
作者:  Zhao, Jikun;  Zhang, Bei;  Zhu, Xiaopeng
收藏  |  浏览/下载：160/0  |  提交时间：2020/01/10
Nonconforming virtual element  Parabolic problem  Polygonal or polyhedral meshes  
Optimal error estimate of a compact scheme for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2017, 卷号: 120, 页码: 68-81
作者:  Hong, Jialin;  Ji, Lihai;  Kong, Linghua;  Wang, Tingchun
收藏  |  浏览/下载：124/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
Postprocessing and higher order convergence for the mixed finite element approximations of the eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2011, 卷号: 61, 期号: 4, 页码: 615-629
作者:  Chen, Hongtao;  Jia, Shanghui;  Xie, Hehu
收藏  |  浏览/下载：103/0  |  提交时间：2018/07/30
Second order elliptic eigenvalue problem  Mixed finite element method  Raviart-Thomas  Rayleigh quotient formula  Supercloseness  Postprocessing  
Multiscale asymptotic expansions and numerical algorithms for the wave equations of second order with rapidly oscillating coefficients 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2009, 卷号: 59, 期号: 12, 页码: 3008-3032
作者:  Dong, Qiao-Li;  Cao, Li-Qun
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
Homogenization  Multiscale asymptotic expansion  The wave equation with rapidly oscillating coefficients  Finite element method  Symplectic geometric scheme  
Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2008, 卷号: 58, 期号: 9, 页码: 1349-1374
作者:  Cao, Li-Qun;  Luo, Jian-Lan
收藏  |  浏览/下载：111/0  |  提交时间：2018/07/30
homogenization  asymptotic expansion  elliptic eigenvalue problems  perforated domain  finite element method  
New error estimates of biquadratic Lagrange elements for Poisson's equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 5, 页码: 712-744
作者:  Huang, HT;  Li, ZC;  Zhou, AH
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
lagrange elements  biquadratic elements  Poisson's equation  global superconvergence  ultraconvergence