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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
; and
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
Taylor & Francis
external identifiers
  • scopus:11544269874
ISSN
0890-5452
DOI
10.1080/08905459508905233
language
English
LU publication?
yes
additional info
Mechanics Based Design of Structures and Machines: An International Journal, 1539-7742, Volume 23, Issue 2, 1995, Pages 159 – 179 The Journal was Previously published as: Mechanics of Structures and Machines (0890-5452) until 2003 Previously published as: Journal of Structural Mechanics (0360-1218) until 1986 The information about affiliations in this record was updated in December 2015. The record was previously connected to the following departments: Numerical Analysis (011015004)
id
08767690-7d3a-4b79-a81c-983055ac158f (old id 1414642)
date added to LUP
2016-04-04 08:54:29
date last changed
2021-01-03 06:53:22
@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    = {{Taylor & Francis}},
  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}},
  doi          = {{10.1080/08905459508905233}},
  volume       = {{23}},
  year         = {{1995}},
}