A symplectic structure preserved by the trapezoidal rule
文献类型：期刊论文
| 作者 | Tam, HW; Wang, DL |
| 刊名 | JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
 |
| 出版日期 | 2003-09-01 |
| 卷号 | 72期号:9页码:2193-2197 |
| 关键词 | symplectic structure trapezoidal rule Richardson's extrapolation |
| ISSN号 | 0031-9015 |
| DOI | 10.1143/JPSJ.72.2193 |
| 英文摘要 | The trapezoidal rule has often been referred to as being symmetric or time-reversible and is therefore good for Hamiltonian systems. However, it is well-known that the trapezoidal rule is not symplectic, but is related to the mid-point rule (which is symplectic) through a coordinate transformation. In this paper, we show that the trapezoidal rule preserves a symplectic structure different from the original one by O(h(2)). The ideas in this paper also motivate us to apply Richardson's extrapolation to the trapezoidal rule. Numerical results show that the extrapolated trapezoidal rule preserves the Hamiltonian up to O(h(4)). |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000185540600015 |
| 出版者 | PHYSICAL SOC JAPAN |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18640]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Tam, HW |
| 作者单位 | 1.Hong Kong Baptist Univ, Dept Comp Sci, Kowloon, Hong Kong, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tam, HW,Wang, DL. A symplectic structure preserved by the trapezoidal rule[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,2003,72(9):2193-2197. |
| APA | Tam, HW,&Wang, DL.(2003).A symplectic structure preserved by the trapezoidal rule.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,72(9),2193-2197. |
| MLA | Tam, HW,et al."A symplectic structure preserved by the trapezoidal rule".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 72.9(2003):2193-2197. |
入库方式： OAI收割
来源：数学与系统科学研究院
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