Symplectic RK methods and symplectic PRK methods with real eigenvalues
文献类型：期刊论文
| 作者 | Liu, HY; Sun, G |
| 刊名 | JOURNAL OF COMPUTATIONAL MATHEMATICS
 |
| 出版日期 | 2004-09-01 |
| 卷号 | 22期号:5页码:769-776 |
| 关键词 | Runge-Kutta method partitioned Runge-Kutta method symplectic real eigenvalues |
| ISSN号 | 0254-9409 |
| 英文摘要 | Properties of symplectic Runge-Kutta (RIK) methods and symplectic partitioned Runge-Kutta (PRK) methods with real eigenvalues are discussed in this paper. It is shown that an s stage such method can't reach order more than s + 1. Particularly, we prove that no symplectic RK method with real eigenvalues exists in stage s of order s + I when s is even. But an example constructed by using the W-transformation shows that PRK method of this type does not necessarily meet this order barrier. Another useful way other than W-transformation to construct symplectic PRK method with real eigenvalues is then presented. Finally, a class of efficient symplectic methods is recommended. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000223902900012 |
| 出版者 | VSP BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19768]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Liu, HY |
| 作者单位 | 1.Harbin Univ Sci & Technol, Dept Math, Harbin 150080, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu, HY,Sun, G. Symplectic RK methods and symplectic PRK methods with real eigenvalues[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2004,22(5):769-776. |
| APA | Liu, HY,&Sun, G.(2004).Symplectic RK methods and symplectic PRK methods with real eigenvalues.JOURNAL OF COMPUTATIONAL MATHEMATICS,22(5),769-776. |
| MLA | Liu, HY,et al."Symplectic RK methods and symplectic PRK methods with real eigenvalues".JOURNAL OF COMPUTATIONAL MATHEMATICS 22.5(2004):769-776. |
入库方式： OAI收割
来源：数学与系统科学研究院
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