Half-Explicit Runge–Kutta Methods for Sifferential-Algebraic Systems of Index $2$

Brasey, V.; Hairer, E.

doi:doi:10.1137/0730025

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SIAM J. on Numerical Analysis / Volume 30 / Issue 2

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SIAM J. Numer. Anal. 30, pp. 538-552 (15 pages)

Half-Explicit Runge–Kutta Methods for Sifferential-Algebraic Systems of Index $2$

V. Brasey and E. Hairer

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Abstract

References (17)

Half-explicit Runge-Kutta methods for differential-algebraic problems of index 2 are investigated. It is shown how the arising order conditions can be solved and a particular method of order 4 is constructed. In addition, this paper simplifies the known convergence theory for such methods and demonstrates by numerical experiments their excellent properties when applied to constrained multibody systems.

KEYWORDS

Keywords

differential-algebraic systems, Runge–Kutta methods, order conditions, constrained multibody systems

AMS Subject Headings

65L05

PUBLICATION DATA

ISSN

0036-1429 (print)

1095-7170 (online)

Publisher

$abstract.society.value is a Member of CrossRef

Society for Industrial and Applied Mathematics

ARTICLE DATA

History

Received January 30, 1991
Accepted March 26, 1992

Digital Object Identifier

http://dx.doi.org/10.1137/0730025

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Half-Explicit Runge–Kutta Methods for Sifferential-Algebraic Systems of Index $2$