A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms

doi:10.1017/S0956792515000479

	A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms
	He, Yi 1; Hu, Xing-Biao2 ; Tam, Hon-Wah 3; Zhang, Ying-Nan 4
	2016-04-01
发表期刊	EUROPEAN JOURNAL OF APPLIED MATHEMATICS
ISSN	0956-7925
卷号	27 页码:194-212
摘要	In this paper, we propose a new algebraic method to construct non-autonomous discrete integrable systems. The method starts from constructing generalizations of convergence acceleration algorithms related to discrete integrable systems. Then the non-autonomous version of the corresponding integrable systems are derived. The molecule solutions of the systems are also obtained. As an example of the application of the method, we propose a generalization of the multistep epsilon-algorithm, and then derive a non-autonomous discrete extended Lotka-Volterra equation. Since the convergence acceleration algorithm from the lattice Boussinesq equation is just a particular case of the multistep epsilon-algorithm, we have therefore arrived at a generalization of this algorithm. Finally, numerical experiments on the new algorithm are presented.
关键词	multistep epsilon-algorithm G-transformation Lotka-Volterra equation Lattice Boussinesq equation
DOI	10.1017/S0956792515000479
语种	英语
资助项目	National Natural Science Foundation of China[11331008] ; National Natural Science Foundation of China[11201469] ; China Postdoctoral Science Foundation[2012M510186] ; China Postdoctoral Science Foundation[2013T60761] ; Hong Kong Research Grant Council[GRF HKBU 202512]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000371505300002
出版者	CAMBRIDGE UNIV PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/22186
专题	计算数学与科学工程计算研究所
通讯作者	He, Yi; Hu, Xing-Biao; Tam, Hon-Wah; Zhang, Ying-Nan
作者单位	1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, POB 2719, Beijing 100190, Peoples R China 3.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon, Hong Kong, Peoples R China 4.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China
推荐引用方式 GB/T 7714	He, Yi,Hu, Xing-Biao,Tam, Hon-Wah,et al. A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms[J]. EUROPEAN JOURNAL OF APPLIED MATHEMATICS,2016,27:194-212.
APA	He, Yi,Hu, Xing-Biao,Tam, Hon-Wah,&Zhang, Ying-Nan.(2016).A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms.EUROPEAN JOURNAL OF APPLIED MATHEMATICS,27,194-212.
MLA	He, Yi,et al."A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms".EUROPEAN JOURNAL OF APPLIED MATHEMATICS 27(2016):194-212.