| 精细辛算法的高效格式和简化计算 |
| |
| 引用本文： | 徐明毅,张勇传. 精细辛算法的高效格式和简化计算[J]. 力学与实践, 2005, 27(1): 55-57 |
| |
| 作者姓名： | 徐明毅 张勇传 |
| |
| 作者单位： | 华中科技大学水电及数字化工程学院,武汉,430074 |
| |
| 基金项目： | 华中科技大学博士后基金资助(0101271026). |
| |
| 摘 要： | 对精细辛几何算法设计了高效的迭代过程，减少了精细积分的计算量，同时提出了精细辛算法的简化形式，避免了复杂的矩阵求逆运算，并给出了相应的误差估计，最后编制了程序进行验证，证明了所采取的方法能够使计算快捷，精度高，稳定性好．
|
| 关 键 词： | 辛算法 迭代过程 误差估计 精细积分 证明 计算量 辛几何算法 细辛 法能 逆运算 |
| 修稿时间： | 2003-11-24 |
EFFICIENT FORMAT AND SIMPLE COMPUTATION OF PRECISE SYMPLECTIC INTEGRATION METHOD |
| |
| XU Mingyi ZHANG Yongchuan. EFFICIENT FORMAT AND SIMPLE COMPUTATION OF PRECISE SYMPLECTIC INTEGRATION METHOD[J]. Mechanics and Engineering, 2005, 27(1): 55-57 |
| |
| Authors: | XU Mingyi ZHANG Yongchuan |
| |
| Abstract: | In this paper an efficient iteration format of the precise symplectic integration method is proposed to reduce the computation amount. At the same time, the simplified form and its error estimation are also proposed to avoid complicated matrix inversion operation. This method is programmed to justify its validity. It is proved that this method can speed up the calculation process and has high precision and stability. |
| |
| Keywords: | symplectic method precise integration method error estimate |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
