New high order symplectic integrators via generating functions with its application in many-body problem
文献类型：期刊论文
| 作者 | Tu, Xiongbiao1,2; Murua, Ander3; Tang, Yifa1,2 |
| 刊名 | BIT NUMERICAL MATHEMATICS
 |
| 出版日期 | 2019-11-21 |
| 页码 | 27 |
| 关键词 | High order Separable Hamiltonian Quadratic |
| ISSN号 | 0006-3835 |
| DOI | 10.1007/s10543-019-00785-0 |
| 英文摘要 | A new family of high order one-step symplectic integration schemes for separable Hamiltonian systems with Hamiltonians of the form T(p)+U(q) is presented. The new integration methods are defined in terms of an explicitly defined generating function (of the third kind). They are implicit in q (but explicit in p and the internal states), and require the evaluation of the gradients of T(p) and U(q) and the actions of their Hessians on vectors (the later being relatively cheap in the case of many-body problems). A time-symmetric symplectic method is constructed that has order 10 when applied to Hamiltonian systems with quadratic kinetic energy T(p). It is shown by numerical experiments that the new methods have the expected order of convergence. |
| 资助项目 | National Natural Science Foundation of China[11771438] ; Ministerio de Economia y Competitividad (Spain) ; AEI/the Department of Education of the Basque Government through the Consolidated Research Group MATHMODE[MTM2016-77660-P] ; AEI/the Department of Education of the Basque Government through the Consolidated Research Group MATHMODE[IT1294-19] |
| WOS研究方向 | Computer Science ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000497830800001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50316]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Tu, Xiongbiao |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Univ Basque Country, Informat Fak, Konputazio Zientziak & AA Saila, E-20018 Donostia San Sebastian, Spain |
| 推荐引用方式 GB/T 7714 | Tu, Xiongbiao,Murua, Ander,Tang, Yifa. New high order symplectic integrators via generating functions with its application in many-body problem[J]. BIT NUMERICAL MATHEMATICS,2019:27. |
| APA | Tu, Xiongbiao,Murua, Ander,&Tang, Yifa.(2019).New high order symplectic integrators via generating functions with its application in many-body problem.BIT NUMERICAL MATHEMATICS,27. |
| MLA | Tu, Xiongbiao,et al."New high order symplectic integrators via generating functions with its application in many-body problem".BIT NUMERICAL MATHEMATICS (2019):27. |
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。