β-blocked multistep methods for Euler-Lagrange DAEs: Linear analysis
(1997) In ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik 77(8). p.609-617- Abstract
- Many different methods have been suggested for the numerical solution of index 2 and 3 Euler-Lagrange equations. We focus on 0-stability of multistep methods (φ, σ) and investigate the relations between some well-known computational techniques. By various modifications, referred to as β-blocking of the σ polynomial, some basic shortcomings of multistep methods may be overcome. This approach is related to projection techniques and has a clear and well-known analogy in control theory. In particular, it is not necessary to use BDF methods for the solution of high index problems; indeed, “nonstiff” methods may be used for part of the system provided that the state-space form is nonstiff. We illustrate the techniques and demonstrate the results... (More)
- Many different methods have been suggested for the numerical solution of index 2 and 3 Euler-Lagrange equations. We focus on 0-stability of multistep methods (φ, σ) and investigate the relations between some well-known computational techniques. By various modifications, referred to as β-blocking of the σ polynomial, some basic shortcomings of multistep methods may be overcome. This approach is related to projection techniques and has a clear and well-known analogy in control theory. In particular, it is not necessary to use BDF methods for the solution of high index problems; indeed, “nonstiff” methods may be used for part of the system provided that the state-space form is nonstiff. We illustrate the techniques and demonstrate the results with a simplified multibody model of a truck. (Less)
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https://lup.lub.lu.se/record/47e7754f-9d37-4140-91f9-586d7268c213
- author
- Arévalo, Carmen LU ; Führer, Claus LU and Söderlind, Gustaf LU
- organization
- publishing date
- 1997
- type
- Contribution to journal
- publication status
- published
- subject
- in
- ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
- volume
- 77
- issue
- 8
- pages
- 9 pages
- publisher
- John Wiley & Sons Inc.
- external identifiers
-
- scopus:4244129535
- ISSN
- 0044-2267
- DOI
- 10.1002/zamm.19970770813
- language
- English
- LU publication?
- yes
- id
- 47e7754f-9d37-4140-91f9-586d7268c213
- date added to LUP
- 2017-02-08 09:29:17
- date last changed
- 2022-01-30 17:43:17
@article{47e7754f-9d37-4140-91f9-586d7268c213,
abstract = {{Many different methods have been suggested for the numerical solution of index 2 and 3 Euler-Lagrange equations. We focus on 0-stability of multistep methods (φ, σ) and investigate the relations between some well-known computational techniques. By various modifications, referred to as β-blocking of the σ polynomial, some basic shortcomings of multistep methods may be overcome. This approach is related to projection techniques and has a clear and well-known analogy in control theory. In particular, it is not necessary to use BDF methods for the solution of high index problems; indeed, “nonstiff” methods may be used for part of the system provided that the state-space form is nonstiff. We illustrate the techniques and demonstrate the results with a simplified multibody model of a truck.}},
author = {{Arévalo, Carmen and Führer, Claus and Söderlind, Gustaf}},
issn = {{0044-2267}},
language = {{eng}},
number = {{8}},
pages = {{609--617}},
publisher = {{John Wiley & Sons Inc.}},
series = {{ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik}},
title = {{β-blocked multistep methods for Euler-Lagrange DAEs: Linear analysis}},
url = {{http://dx.doi.org/10.1002/zamm.19970770813}},
doi = {{10.1002/zamm.19970770813}},
volume = {{77}},
year = {{1997}},
}