6TH-ORDER LIE GROUP INTEGRATORS

被引：31

作者：

FOREST, E

机构：

[1] Exploratory Studies Group, Lawrence Berkeley Laboratory, Berkeley

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1992年 / 99卷 / 02期

关键词：

D O I：

10.1016/0021-9991(92)90203-B

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper we present the coefficients of several sixth-order symplectic integrators of the type developed by R. Ruth. To get these results we fully exploit the connection with Lie groups. These integrators, as well as all the explicit integrators of Ruth, may be used in any equation where some sort of Lie bracket is preserved. In fact, if the Lie operator governing the equation of motion is separable into two solvable parts, the Ruth integrators can be used. © 1992.

引用

页码：209 / 213

页数：5

共 8 条

[1]

Berz M., 1989, Particle Accelerators, V24, P109

[2]

CANDY J, IN PRESS J COMPUT PH

[3] COMPUTATION OF NONLINEAR BEHAVIOR OF HAMILTONIAN-SYSTEMS USING LIE ALGEBRAIC METHODS [J].

DRAGT, AJ ;

FOREST, E .

JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (12) :2734-2744

[4] 4TH-ORDER SYMPLECTIC INTEGRATION [J].

FOREST, E ;

RUTH, RD .

PHYSICA D, 1990, 43 (01) :105-117

[5]

FOREST E, 1987, SSC138 SSC CTR DES G

[6]

NERI F, 1988, PREPRINT U MARYLAND

[7]

RUTH RD, 1983, IEEE T NUCL SCI, V30

[8]

YOSHIDA H, 1990, PHYS LETT A, V150

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