EQUIVARIANT SYMPLECTIC DIFFERENCE-SCHEMES AND GENERATING-FUNCTIONS

被引：22

作者：

GE, Z

机构：

[1] Department of Mathematics, University of Arizona, Tucson

来源：

PHYSICA D | 1991年 / 49卷 / 03期

基金：

中国国家自然科学基金;

关键词：

D O I：

10.1016/0167-2789(91)90154-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that all the known results on the preservation of first integrals by a symplectic difference scheme can be unified under the equivalence theorem of Feng-Ge. In particular, when the equivalence theorem is applied to the first type of generating function on a Lie group, we obtain the Lie-Poisson integrator.

引用

页码：376 / 386

页数：11

共 23 条

[1]

Arnold VI., 1978, MATH METHODS CLASSIC, DOI 10.1007/978-1-4757-1693-1

[2] SYMPLECTIC INTEGRATION OF HAMILTONIAN-SYSTEMS [J].

CHANNELL, PJ ;

SCOVEL, C .

NONLINEARITY, 1990, 3 (02) :231-259

[3]

CHANNELL PJ, IN PRESS PHYSICA D

[4] THE MOMENT MAP AND COLLECTIVE MOTION [J].

GUILLEMIN, V ;

STERNBERG, S .

ANNALS OF PHYSICS, 1980, 127 (01) :220-253

[5] HAMILTONIAN DIFFERENCING OF FLUID-DYNAMICS [J].

HOLM, DD ;

KUPERSHMIDT, BA ;

LEVERMORE, CD .

ADVANCES IN APPLIED MATHEMATICS, 1985, 6 (01) :52-84

[6]

Kang F., 1985, INT WORKSH APPL DIFF, P59

[7]

KANG F, IN PRESS CONSTRUCTIO

[8]

KANG F, 1987, LECTURE NOTES PHYSIC, V264, P1

[9]

KANG F, 1986, J COMPUT MATH, V4, P27

[10]

KANG F, 1988, LECTURE NOTES MATH, V1297

← 1 2 3 →