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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：94/0  |  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：113/0  |  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：193/0  |  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：134/0  |  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  
Shadowing orbits of a class of random differential equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 136, 页码: 206-214
作者:  Zhan, Qingyi
收藏  |  浏览/下载：138/0  |  提交时间：2019/03/05
Random differential equation  Random dynamical system  Shadowing  Brouwer's fixed point theorem  Random Lorenz equations  
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：117/0  |  提交时间：2018/07/30
Nonlinear Schrodinger equation  Compact scheme  Symplectic scheme  Energy conservation  Optimal error estimate  
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：92/0  |  提交时间：2018/07/30
lagrange elements  biquadratic elements  Poisson's equation  global superconvergence  ultraconvergence  
New error estimates of Adini's elements for Poisson's equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2004, 卷号: 50, 期号: 1, 页码: 49-74
作者:  Huang, HT;  Li, ZC;  Yan, NN
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
Adini's elements  Neumann problems  Poisson's equation  global superconvergence  stability analysis  
A multiscale finite element method for elliptic problems with highly oscillatory coefficients 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2004, 卷号: 50, 期号: 1, 页码: 1-13
作者:  Chen, JR;  Cui, JZ
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
multiscale finite element  elliptic problems  highly oscillatory coefficients  domain decomposition preconditioning algorithm  
B-convergence of general linear methods for stiff problems 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2003, 卷号: 47, 期号: 1, 页码: 31-44
作者:  Huang, CM;  Chang, QS;  Xiao, AG
收藏  |  浏览/下载：76/0  |  提交时间：2018/07/30
stiff ordinary differential equations  B-convergence  general linear methods  multistep Runge-Kutta methods