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

Brasey, Valérie; Hairer, Ernst

doi:10.1137/0730025

Scientific article

English

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

ContributorsBrasey, Valérie; Hairer, Ernst

Published inSIAM journal on numerical analysis, vol. 30, no. 2, p. 538-552

Publication date1993

Abstract

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

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

Affiliation entities

Faculté des sciences / Section de mathématiques

Citation (ISO format)

BRASEY, Valérie, HAIRER, Ernst. Half-Explicit Runge–Kutta Methods for Sifferential-Algebraic Systems of Index 2. In: SIAM journal on numerical analysis, 1993, vol. 30, n° 2, p. 538–552. doi: 10.1137/0730025

Identifiers

PID : unige:12477
DOI : 10.1137/0730025

Journal ISSN0036-1429

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

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