INTEGRABLE DISCRETE-SYSTEMS AND NUMERICAL INTEGRATORS

Authors
GRAMMATICOS B DORIZZI B
Citation
B. Grammaticos et B. Dorizzi, INTEGRABLE DISCRETE-SYSTEMS AND NUMERICAL INTEGRATORS, Mathematics and computers in simulation, 37(4-5), 1994, pp. 341-352
Citations number
35
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications","Computer Science Software Graphycs Programming
Journal title
Mathematics and computers in simulation → ACNP
ISSN journal
03784754
Volume
37
Issue
4-5
Year of publication
1994
Pages
341 - 352
Database
ISI
SICI code
0378-4754(1994)37:4-5<341:IDANI>2.0.ZU;2-0
Abstract
We present an analysis of various integration schemes which are applie d to the numerical integration of, first, a one-dimensional Hamiltonia n system and, second, Painleve equations I and II. Both systems are we ll-known integrable ones. Integrable integrators are best suited for t he simulation of integrable systems since they allow simulations over long times and the use of moderately large integration steps.