中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 计算数学与科学工程计算研究所
A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms

文献类型：期刊论文

作者He, Yi1; Hu, Xing-Biao2; Tam, Hon-Wah3; Zhang, Ying-Nan4
刊名EUROPEAN JOURNAL OF APPLIED MATHEMATICS
出版日期2016-04-01
卷号27页码:194-212
关键词multistep epsilon-algorithm G-transformation Lotka-Volterra equation Lattice Boussinesq equation
ISSN号0956-7925
DOI10.1017/S0956792515000479
英文摘要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.
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
语种英语
WOS记录号WOS:000371505300002
出版者CAMBRIDGE UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/22185]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。