Numerical experiments with a multistep Radau method

Schneider, Stefan

doi:10.1007/BF01989754

Scientific article

English

Numerical experiments with a multistep Radau method

Contributors

Schneider, Stefan

Published in

BIT, vol. 33, no. 2, p. 332-350

Publication date

1993

Abstract

This paper describes an implementation of multistep collocation methods, which are applicable to stiff differential problems, singular perturbation problems, and D.A.E.s of index 1 and 2. These methods generalize one-step implicit Runge-Kutta methods as well as multistep one-stage BDF methods. We give numerical comparisons of our code with two representative codes for these methods, RADAU5 and LSODE.

Keywords

Multistep collocation method
Continuous solution
Stability

UNIGE affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

SCHNEIDER, Stefan. Numerical experiments with a multistep Radau method. In: BIT, 1993, vol. 33, n° 2, p. 332–350. doi: 10.1007/BF01989754

Article (Published version)

Identifiers

PID : unige:76260
DOI : 10.1007/BF01989754

Additional URL for this publication

http://link.springer.com/10.1007/BF01989754

Journal ISSN

0006-3835

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16/10/2015 09:19:00

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16/10/2015 09:19:00

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14/03/2023 23:43:16

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31/10/2024 01:35:48

Numerical experiments with a multistep Radau method

Contributors

Published in

Publication date

Abstract

Keywords

UNIGE affiliation entities

Citation (ISO format)

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Additional URL for this publication

Journal ISSN

Technical informations

Creation

First validation

Update

Status update

Last indexation