4TH-ORDER SYMPLECTIC INTEGRATION

被引：534

作者：

FOREST, E ^{[1
]}

RUTH, RD ^{[1
]}

机构：

[1] STANFORD UNIV,STANFORD LINEAR ACCELERATOR CTR,STANFORD,CA 94309

来源：

PHYSICA D | 1990年 / 43卷 / 01期

关键词：

D O I：

10.1016/0167-2789(90)90019-L

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present an explicit fourth-order method for the integration of Hamilton's equations. This method preserves the property that the time evolution of such a system yields a canonical transformation from the initial conditions to the final state. That is, the integration step is an explicit symplectic map. Although the result is first derived for a specific type of Hamiltonian, it is shown to be quite general. In particular, the results can be applied to any Lie group. © 1990.

引用

页码：105 / 117

页数：13

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