Improved numerical integration of perturbed oscillators via average

Authors
Martin, P Farto, JM
Citation
P. Martin et Jm. Farto, Improved numerical integration of perturbed oscillators via average, APPL MATH C, 99(2-3), 1999, pp. 129-139
Citations number
13
Categorie Soggetti
Engineering Mathematics
Journal title
APPLIED MATHEMATICS AND COMPUTATION
ISSN journal
00963003 → ACNP
Volume
99
Issue
2-3
Year of publication
1999
Pages
129 - 139
Database
ISI
SICI code
0096-3003(19990315)99:2-3<129:INIOPO>2.0.ZU;2-G
Abstract
This paper addresses the improvement of numerical integration results provi ded by both general purpose codes and special codes, when integrating oscil latory problems. This improvement is achieved by means of a technique of av erage: the first approximation of Kryloff and Bogoliuboff. Numerical exampl es are given, including the numerical integration of the satellite problem. The results are compared with some symplectic integrators. (C) 1999 Elsevi er Science Inc. All rights reserved.