ON THE ERROR CONTROL FOR MULTISTEP METHODS APPLIED TO ODES WITH INVARIANTS AND DAES IN MULTIBODY DYNAMICS

Authors
EICH E FUHRER C YEN J
Citation
E. Eich et al., ON THE ERROR CONTROL FOR MULTISTEP METHODS APPLIED TO ODES WITH INVARIANTS AND DAES IN MULTIBODY DYNAMICS, Mechanics of structures and machines, 23(2), 1995, pp. 159-179
Citations number
16
Categorie Soggetti
Mechanics
Journal title
Mechanics of structures and machines → ACNP
ISSN journal
08905452
Volume
23
Issue
2
Year of publication
1995
Pages
159 - 179
Database
ISI
SICI code
0890-5452(1995)23:2<159:OTECFM>2.0.ZU;2-#
Abstract
A modified local error model is developed for numerical integration of ODEs with invariants. The basic idea is to use a commutativity relati onship that holds for implicit state-space form methods. A new implici t state-space form predictor is developed from which error estimates c an be obtained by predictor-corrector difference. This technique is de monstrated through the preliminary examples in this paper.