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A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 26, 期号: 2, 页码: 579-598
作者:  Thang, Yingnan;  Hu, Xingbiao;  He, Yi;  Sun, Jianqing
收藏  |  浏览/下载：150/0  |  提交时间：2020/01/10
Toda-type equation  N-periodicwave solution  Riemann's theta-function  Gauss-Newton method  
Partial-Skew-Orthogonal Polynomials and Related Integrable Lattices with Pfaffian Tau-Functions 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2018, 卷号: 364, 期号: 3, 页码: 1069-1119
作者:  Chang, Xiang-Ke;  He, Yi;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载：148/0  |  提交时间：2019/03/05
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：141/0  |  提交时间：2018/07/30
integrable system  skew orthogonal polynomial  convergence acceleration algorithm  Laurent property  
A new integrable convergence acceleration algorithm for computing Brezinski-Durbin-Redivo-Zaglia's sequence transformation via pfaffians 期刊论文
NUMERICAL ALGORITHMS, 2018, 卷号: 78, 期号: 1, 页码: 87-106
作者:  Chang, Xiang-Ke;  He, Yi;  Hu, Xing-Biao;  Li, Shi-Hao
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
Convergence acceleration algorithm  Sequence transformation  Pfaffian identities  
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：263/0  |  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：148/0  |  提交时间：2020/01/10
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：107/0  |  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：125/0  |  提交时间：2018/07/30
Lie algebra  Lie group  volume-preserving algorithm  charged particles dynamics  
On three-term recurrence and Christoffel-Darboux identity for orthogonal rational functions on the real line 期刊论文
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2016, 卷号: 27, 期号: 4, 页码: 268-280
作者:  Sun, Ye-Peng;  Chang, Xiang-Ke;  He, Yi
收藏  |  浏览/下载：112/0  |  提交时间：2018/07/30
33C45  11C20  three-term recurrence  Christoffel-Darboux relation  Orthogonal rational functions  
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：108/0  |  提交时间：2018/07/30
multistep epsilon-algorithm  G-transformation  Lotka-Volterra equation  Lattice Boussinesq equation