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On the error control for multistep methods applied to ODEs with invariants and DAEs in multibody dynamics

Eich, Edda; Führer, Claus LU and Yen, Jeng (1995) In Mechanics of Structures and Machines 23(2). p.159-180
Abstract
A modified local error model is developed for numerical integration of ODEs with invariants. The basic idea is to use a commutativity relationship that holds for implicit state-space form methods. A new implicit state-space form predictor is developed from which error estimates can be obtained by predictor-corrector difference: This technique is demonstrated through the preliminary examples in this paper.
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Mechanics of Structures and Machines
volume
23
issue
2
pages
159 - 180
publisher
Marcel Dekker Inc.
external identifiers
  • scopus:11544269874
ISSN
0890-5452
DOI
10.1080/08905459508905233
language
English
LU publication?
yes
id
08767690-7d3a-4b79-a81c-983055ac158f (old id 1414642)
date added to LUP
2009-06-08 16:01:36
date last changed
2017-02-13 13:07:14
@article{08767690-7d3a-4b79-a81c-983055ac158f,
  abstract     = {A modified local error model is developed for numerical integration of ODEs with invariants. The basic idea is to use a commutativity relationship that holds for implicit state-space form methods. A new implicit state-space form predictor is developed from which error estimates can be obtained by predictor-corrector difference: This technique is demonstrated through the preliminary examples in this paper.},
  author       = {Eich, Edda and Führer, Claus and Yen, Jeng},
  issn         = {0890-5452},
  language     = {eng},
  number       = {2},
  pages        = {159--180},
  publisher    = {Marcel Dekker Inc.},
  series       = {Mechanics of Structures and Machines},
  title        = {On the error control for multistep methods applied to ODEs with invariants and DAEs in multibody dynamics},
  url          = {http://dx.doi.org/10.1080/08905459508905233},
  volume       = {23},
  year         = {1995},
}