ELEMENTARY CONSTRUCTION OF HIGHER-ORDER LIE-POISSON INTEGRATORS

被引：12

作者：

BENZEL, S

GE, Z

SCOVEL, C

机构：

[1] FIELDS INST RES MATH SCI,WATERLOO N2L 5Z5,ON,CANADA

[2] LOS ALAMOS NATL LAB,COMP RES GRP,LOS ALAMOS,NM 87545

来源：

PHYSICS LETTERS A | 1993年 / 174卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.1016/0375-9601(93)90763-P

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Higher order Lie-Poisson integrators generated from first order ones are described and tested on an Euler equation on su (4). The technique is based upon the method of Suzuki and Yoshida combined with an observation of Scovel. This technique works for any type of autonomous ordinary differential equation, not just Hamiltonian systems, and is especially useful in generating higher order methods in an elementary manner. In particular, up to now, only first order Lie-Poisson integrators were available for Lie algebras that were not regular quadratic. This technique should also be useful in the development of higher order momentum preserving symplectic integrators such as in Patrick's [23] study of two axially symmetric coupled rigid bodies.

引用

页码：229 / 232

页数：4