KMS Of Academy of mathematics and systems sciences, CAS
| A new method to generate non-autonomous discrete integrable systems via convergence acceleration algorithms | |
He, Yi1; Hu, Xing-Biao2 ; Tam, Hon-Wah3; Zhang, Ying-Nan4
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| 2016-04-01 | |
| Source Publication | EUROPEAN JOURNAL OF APPLIED MATHEMATICS
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| ISSN | 0956-7925 |
| Volume | 27Pages:194-212 |
| Abstract | 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. |
| Keyword | multistep epsilon-algorithm G-transformation Lotka-Volterra equation Lattice Boussinesq equation |
| DOI | 10.1017/S0956792515000479 |
| Language | 英语 |
| Funding Project | 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 Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000371505300002 |
| Publisher | CAMBRIDGE UNIV PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/22186 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | He, Yi; Hu, Xing-Biao; Tam, Hon-Wah; Zhang, Ying-Nan |
| Affiliation | 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 |
| Recommended Citation 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. |
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