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

Edda Eich; Claus Führer; Jeng Yen

doi:10.1080/08905459508905233

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

Edda Eich, Claus Führer, Jeng Yen

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	159-180
Journal	Mechanics of Structures and Machines
Volume	23
Issue number	2
DOIs	https://doi.org/10.1080/08905459508905233
Publication status	Published - 1995

Bibliographical note

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)

Subject classification (UKÄ)

Mathematics

Access to Document

10.1080/08905459508905233

Cite this

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

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 = "Edda Eich and Claus F{\"u}hrer and Jeng Yen",

note = "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)",

year = "1995",

doi = "10.1080/08905459508905233",

language = "English",

volume = "23",

pages = "159--180",

journal = "Mechanics of Structures and Machines",

issn = "0890-5452",

publisher = "Taylor & Francis",

number = "2",

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T1 - On the error control for multistep methods applied to ODEs with invariants and DAEs in multibody dynamics

AU - Eich, Edda

AU - Führer, Claus

AU - Yen, Jeng

N1 - 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)

PY - 1995

Y1 - 1995

N2 - 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.

AB - 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.

U2 - 10.1080/08905459508905233

DO - 10.1080/08905459508905233

M3 - Article

SN - 0890-5452

VL - 23

SP - 159

EP - 180

JO - Mechanics of Structures and Machines

JF - Mechanics of Structures and Machines

IS - 2

ER -

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

Abstract

Bibliographical note

Subject classification (UKÄ)

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