RUNGE-KUTTA COLLOCATION METHODS FOR RIGID-BODY LIE-POISSON EQUATIONS

Authors
ERGENC T KARASOZEN B
Citation
T. Ergenc et B. Karasozen, RUNGE-KUTTA COLLOCATION METHODS FOR RIGID-BODY LIE-POISSON EQUATIONS, International journal of computer mathematics, 62(1-2), 1996, pp. 63-71
Citations number
12
Categorie Soggetti
Computer Sciences",Mathematics
Journal title
International journal of computer mathematics
ISSN journal
00207160 → ACNP
Volume
62
Issue
1-2
Year of publication
1996
Pages
63 - 71
Database
ISI
SICI code
Abstract
The rigid body Lie-Poisson structure in three dimensions is considered . We show that the symplectic collocation type Runge-Kutta methods pre serve the one-form of the underlying system. The linear error growth, energy and momentum conservation properties of the numerical solutions are discussed for Euler top equation.