[1]张静静.基于精确数值离散的一类新的辛算法[J].江西师范大学学报(自然科学版),2015,(06):588-591.
　ZHANG Jingjing.A New Class of Symplectic Method Based on Exact Numerical Discretization[J].Journal of Jiangxi Normal University:Natural Science Edition,2015,(06):588-591.
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基于精确数值离散的一类新的辛算法()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2015年06期
页码:
588-591
栏目:
出版日期:
2015-12-31

文章信息/Info

Title:
A New Class of Symplectic Method Based on Exact Numerical Discretization
作者:
张静静
河南理工大学数学与信息科学学院,河南 焦作 454000
Author(s):
ZHANG Jingjing
School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo Henan 454000,China
关键词:
精确数值离散;  修正中点公式;  哈密尔顿系统;  辛算法
Keywords:
exact numerical discretization;  modified midpoint formula;  Hamilton system;  symplectic
分类号:
O 241.82
文献标志码:
A
摘要:
对数值计算中经典的中点公式参数化,基于精确数值离散的思想构造了带参数的修正中点公式.此修正中点公式是对称的具有2阶精度的辛算法,应用此修正中点公式模拟简单单摆问题.数值实验表明:对于小的初始摆角和较大的初始摆角,带参数的修正中点公式比经典的中点公式更优越.
Abstract:
The modified midpoint formula with a parameter is constructed by parameterizing the classical midpoint formula and based on the idea of exact numerical discretization.The modified midpoint formula is symmetric,second order convergent and symplectic.When applied to simple pendulum problem,it shows that the modified midpoint formula with a parameter is better than classical midpoint formula for small and large initial angular displacements.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目:国家自然科学基金(11201125),河南省教育厅课题(12B110010)和河南理工大学博士基金(B2011-093)资助项目.
更新日期/Last Update: 1900-01-01