On the Numerical Stability of Some Symplectic Integrators
文献类型：期刊论文
| 作者 | Fuyao Liu1; Xin Wu2 ; Benkui Lu1
|
| 刊名 | Chinese Astronomy and Astrophysics
 |
| 出版日期 | 2007 |
| 卷号 | 31期号:2页码:172 |
| ISSN号 | 0275-1062 |
| 英文摘要 | In this paper, we analyze the linear stabilities of several symplectic integrators, such as the first-order implicit Euler scheme, the second-order implicit mid-point Euler difference scheme, the first-order explicit Euler scheme, the second-order explicit leapfrog scheme and some of their combinations. For a linear Hamiltonian system, we find the stable regions of each scheme by theoretical analysis and check them by numerical tests. When the Hamiltonian is real symmetric quadratic, a diagonalizing by a similar transformation is suggested so that the theoretical analysis of the linear stability of the numerical method would be simplified. A Hamiltonian may be separated into a main part and a perturbation, or it may be spontaneously separated into kinetic and potential energy parts, but the former separation generally is much more charming because it has a much larger maximum step size for the symplectic being stable, no matter this Hamiltonian is linear or nonlinear. |
| 语种 | 英语 |
| 源URL | [http://libir.pmo.ac.cn/handle/332002/31895]  |
| 专题 | 中国科学院紫金山天文台 |
| 作者单位 | 1.中国科学院紫金山天文台 2.南昌大学 |
| 推荐引用方式 GB/T 7714 | Fuyao Liu,Xin Wu,Benkui Lu. On the Numerical Stability of Some Symplectic Integrators[J]. Chinese Astronomy and Astrophysics,2007,31(2):172. |
| APA | Fuyao Liu,Xin Wu,&Benkui Lu.(2007).On the Numerical Stability of Some Symplectic Integrators.Chinese Astronomy and Astrophysics,31(2),172. |
| MLA | Fuyao Liu,et al."On the Numerical Stability of Some Symplectic Integrators".Chinese Astronomy and Astrophysics 31.2(2007):172. |
入库方式： OAI收割
来源：紫金山天文台
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