en
Scientific article
English

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

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
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
ISSN of the journal0036-1429
577views
0downloads

Technical informations

Creation11/12/2010 3:52:00 PM
First validation11/12/2010 3:52:00 PM
Update time03/14/2023 4:08:53 PM
Status update03/14/2023 4:08:53 PM
Last indexation01/15/2024 9:49:42 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack