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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:151/0  |  提交时间:2018/07/30
integrable system  skew orthogonal polynomial  convergence acceleration algorithm  Laurent property  
Explicit symplectic algorithms based on generating functions for relativistic charged particle dynamics in time-dependent electromagnetic field 期刊论文
PHYSICS OF PLASMAS, 2018, 卷号: 25, 期号: 2, 页码: 7
作者:  Zhang, Ruili;  Wang, Yulei;  He, Yang;  Xiao, Jianyuan;  Liu, Jian;  Qin, Hong;  Tang, Yifa
收藏  |  浏览/下载:266/0  |  提交时间:2018/07/30
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:150/0  |  提交时间:2020/01/10
Convergence and superconvergence of a fully-discrete scheme for multi-term time fractional diffusion equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 73, 期号: 6, 页码: 1087-1099
作者:  Zhao, Yanmin;  Zhang, Yadong;  Liu, F.;  Turner, I.;  Tang, Yifa;  Anh, V.
收藏  |  浏览/下载:121/0  |  提交时间:2018/07/30
Multi-term time-fractional diffusion equation  Finite element method  L1 approximation  Stability Convergence and superconvergence  
A family of new explicit, revertible, volume-preserving numerical schemes for the system of Lorentz force 期刊论文
PHYSICS OF PLASMAS, 2016, 卷号: 23, 期号: 12, 页码: 8
作者:  Tu, Xiongbiao;  Zhu, Beibei;  Tang, Yifa;  Qin, Hong;  Liu, Jian;  Zhang, Ruili
收藏  |  浏览/下载:114/0  |  提交时间:2018/07/30
Splitting K-symplectic methods for non-canonical separable Hamiltonian problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2016, 卷号: 322, 页码: 387-399
作者:  Zhu, Beibei;  Zhang, Ruili;  Tang, Yifa;  Tu, Xiongbiao;  Zhao, Yue
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
K-symplectic methods  Splitting algorithms  Gauss' methods  Generating function methods  
Explicit symplectic algorithms based on generating functions for charged particle dynamics 期刊论文
PHYSICAL REVIEW E, 2016, 卷号: 94, 期号: 1, 页码: 8
作者:  Zhang, Ruili;  Qin, Hong;  Tang, Yifa;  Liu, Jian;  He, Yang;  Xiao, Jianyuan
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Application of Lie Algebra in Constructing Volume-Preserving Algorithms for Charged Particles Dynamics 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 5, 页码: 1397-1408
作者:  Zhang, Ruili;  Liu, Jian;  Qin, Hong;  Tang, Yifa;  He, Yang;  Wang, Yulei
收藏  |  浏览/下载:140/0  |  提交时间:2018/07/30
Lie algebra  Lie group  volume-preserving algorithm  charged particles dynamics  
A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms 期刊论文
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2016, 卷号: 27, 页码: 194-212
作者:  He, Yi;  Hu, Xing-Biao;  Tam, Hon-Wah;  Zhang, Ying-Nan
收藏  |  浏览/下载:109/0  |  提交时间:2018/07/30
multistep epsilon-algorithm  G-transformation  Lotka-Volterra equation  Lattice Boussinesq equation  
Convergence analysis of the formal energies of symplectic methods for Hamiltonian systems 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 2, 页码: 379-396
作者:  Zhang RuiLi;  Tang YiFa;  Zhu BeiBei;  Tu XiongBiao;  Zhao Yue
收藏  |  浏览/下载:120/0  |  提交时间:2018/07/30
convergence analysis  formal energy  symplectic method  Hamiltonian system  bushy tree