基于离散变分原理的Birkhoff辛算法  

The Birkhoffian symplectic algorithm based on discrete variational principle

作　　者：龚丽红[1] 张泽[1] 郑宇[1] 吴非[1] 

机构地区：[1]北方工业大学理学院,北京100144

出　　处：《科技创新导报》2013年第19期210-211,共2页Science and Technology Innovation Herald

摘　　要：从Pfaff泛函变分的角度出发描述Birkhoff方程,再从变分离散的角度的到离散的Birkhoff方程,进而的到辛流形公式、构造辛算法,最后给出一个算例将其与传统的中点格式进行比较体现离散Birkhoff方程辛算法的优越性。Express Birkhoffian equations from Pfaff variational principle.Then from discrete variational principle,discrete Birkhoffian equations is obtained.After that we can get sympletic manifold formulas and construct symplectic algorithms.At last we give an numerical example to compare it with implicit midpoint rule,which demonstrate the superiority of discrete Birkhoffian symplectic algorithm.

关 键 词：Pfaff泛函 离散Birkhoff方程 Birkhoff辛算法 

分 类 号：O177[理学—数学]