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A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2021, 页码: 16
作者:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
收藏  |  浏览/下载：143/0  |  提交时间：2021/04/26
distribution-order derivative  fractional wave equations  initial singularity  multi-term fractional derivatives  superlinear convergence  
Error estimate on the tanh meshes for the time fractional diffusion equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2020, 页码: 21
作者:  Zhang, Jiali;  Huang, Jizu;  Wang, Kun;  Wang, Xin
收藏  |  浏览/下载：160/0  |  提交时间：2021/01/14
Caputo fractional derivative  error estimate  the tanh meshes  unconditionally stable  weak singularity  
Fast evaluation and high accuracy finite element approximation for the time fractional subdiffusion equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 34, 期号: 2, 页码: 705-730
作者:  Ren, Jincheng;  Mao, Shipeng;  Zhang, Jiwei
收藏  |  浏览/下载：154/0  |  提交时间：2018/07/30
fast convolution algorithm  finite element method  fractional subdiffusion equation  fully discrete scheme  superconvergence estimate  
Local energy- and momentum-preserving schemes for Klein-Gordon-Schrodinger equations and convergence analysis 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2017, 卷号: 33, 期号: 4, 页码: 1329-1351
作者:  Cai, Jiaxiang;  Hong, Jialin;  Wang, Yushun
收藏  |  浏览/下载：109/0  |  提交时间：2018/07/30
conservation law  convergence analysis  Klein-Gordon-Schrodinger equations  local structure  structure-preserving algorithm  
Multiscale computational method for nonstationary integrated heat transfer problem in periodic porous materials 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2016, 卷号: 32, 期号: 2, 页码: 510-530
作者:  Yang, Zhiqiang;  Cui, Junzhi;  Wang, Ziqiang;  Zhang, Yang
收藏  |  浏览/下载：107/0  |  提交时间：2018/07/30
multiscale asymptotic expansion  error estimates  periodic porous materials  integrated heat transfer  
Fourth-Order Compact Difference Schemes for 1D Nonlinear Kuramoto-Tsuzuki Equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 卷号: 31, 期号: 6, 页码: 2080-2109
作者:  Hu, Xiuling;  Chen, Shanzhen;  Chang, Qianshun
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
compact difference scheme  convergence  Kuramoto-Tsuzuki equation  Neumann boundary conditions  priori estimates  
Compact and Efficient Conservative Schemes for Coupled Nonlinear Schrodinger Equations 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2015, 卷号: 31, 期号: 6, 页码: 1814-1843
作者:  Kong, Linghua;  Hong, Jialin;  Ji, Lihai;  Zhu, Pengfei
收藏  |  浏览/下载：92/0  |  提交时间：2018/07/30
conservation law  computational efficiency  coupled nonlinear Schrodinger equation  highorder compact method  
Difference Methods for Computing the Ginzburg-Landau Equation in Two Dimensions 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2011, 卷号: 27, 期号: 3, 页码: 507-528
作者:  Xu, Qiubin;  Chang, Qianshun
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
Ginzburg-Landau equation  difference scheme  time-splitting scheme  convergence  stability  
Superconvergence of Interpolated Collocation Solutions for Hammerstein Equations 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2010, 卷号: 26, 期号: 2, 页码: 290-304
作者:  Huang, Qiumei;  Zhang, Shuhua
收藏  |  浏览/下载：104/0  |  提交时间：2018/07/30
superconvergence  interpolation postprocessing  the iterated collocation method  Hammerstein equations  smooth and weakly singular kernels  
Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 卷号: 24, 期号: 2, 页码: 435-448
作者:  Jia, Shanghui;  Me, Hehu;  Yin, Xiaobo;  Gao, Shaoqin
收藏  |  浏览/下载：94/0  |  提交时间：2018/07/30
asymptotic expansions  biharmonic eigenvalue problem  extrapolation  nonconforming finite element methods