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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：98/0  |  提交时间：2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
Coupled modified KdV equations, skew orthogonal polynomials, convergence acceleration algorithms and Laurent property 期刊论文
SCIENCE CHINA-MATHEMATICS, 2018, 卷号: 61, 期号: 6, 页码: 1063-1078
作者:  Chang, Xiangke;  He, Yi;  Hu, Xingbiao;  Li, Shihao;  Tam, Hon-wah;  Zhang, Yingnan
收藏  |  浏览/下载：152/0  |  提交时间：2018/07/30
integrable system  skew orthogonal polynomial  convergence acceleration algorithm  Laurent property  
A semi-discrete modified KdV equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 卷号: 59, 期号: 4, 页码: 12
作者:  Sun, Jianqing;  Hu, Xingbiao;  Zhang, Yingnan
收藏  |  浏览/下载：129/0  |  提交时间：2018/07/30
A numerical study of the 3-periodic wave solutions to KdV-type equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 355, 页码: 566-581
作者:  Zhang, Yingnan;  Hu, Xingbiao;  Sun, Jianqing
收藏  |  浏览/下载：152/0  |  提交时间：2018/07/30
KdV-type equation  3-periodic wave solution  Riemann's theta-function  Gauss-Newton method  
coupledmodifiedkdvequationsskeworthogonalpolynomialsconvergenceaccelerationalgorithmsandlaurentproperty 期刊论文
sciencechinamathematics, 2018, 卷号: 61, 期号: 6, 页码: 1063
作者:  Chang Xiangke;  He Yi;  Hu Xingbiao;  Li Shihao;  Tam Hon Wah;  Zhang Yingnan
收藏  |  浏览/下载：151/0  |  提交时间：2020/01/10
Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 114-143
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun;  Zhang, Huai
收藏  |  浏览/下载：156/0  |  提交时间：2018/07/30
Multisymplectic formulation  Hamiltonian PDEs  local discontinuous Galerkin method  numerical flux  conservation law  
Variational discretizations for the generalized Rosenau-type equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 271, 页码: 860-873
作者:  Cai, Wenjun;  Sun, Yajuan;  Wang, Yushun
收藏  |  浏览/下载：119/0  |  提交时间：2018/07/30
Lagrangian density  Variational integrator  Multisymplectic formulation  Solitons collision  Local conservation law  
integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation 期刊论文
sciencechinamathematics, 2015, 卷号: 58, 期号: 2, 页码: 279
作者:  Zhang Yingnan;  Chang Xiangke;  Hu Juan;  Hu Xingbiao;  Tam Hon Wah
收藏  |  浏览/下载：115/0  |  提交时间：2020/01/10
On an integrable differential-difference equation with a source 期刊论文
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2006, 卷号: 13, 期号: 2, 页码: 183-192
作者:  Gegenhasi;  Hu, Xing-Biao
收藏  |  浏览/下载：80/0  |  提交时间：2018/07/30
Multisymplecticity of the centred box scheme for a class of Hamiltonian PDEs and an application to quasi-periodically solitary waves 期刊论文
MATHEMATICAL AND COMPUTER MODELLING, 2004, 卷号: 39, 期号: 9-10, 页码: 1035-1047
作者:  Hong, JL;  Liu, Y
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
multisymplecticity  centred box scheme  quasi-periodic KdV equation  Hamiltonian PDEs  nonautonomous  quasi-periodically solitary wave