Efficient Runge-Kutta integrators for index-2 differential algebraic equations
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- by J. C. Butcher and R. P. K. Chan PDF
- Math. Comp. 67 (1998), 1001-1021 Request permission
Abstract:
In seeking suitable Runge-Kutta methods for differential algebraic equations, we consider singly-implicit methods to which are appended diagonally-implicit stages. Methods of this type are either similar to those of Butcher and Cash or else allow for the importation of a final derivative from a previous step. For these two classes, with up to three additional diagonally-implicit stages, we derive methods that satisfy appropriate order conditions for index-2 DAEs.References
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Additional Information
- J. C. Butcher
- Affiliation: Department of Mathematics, The University of Auckland, Auckland, New Zealand
- Email: butcher@math.auckland.ac.nz
- R. P. K. Chan
- Affiliation: Division of Science and Technology, Tamaki Campus, The University of Auckland, Auckland, New Zealand
- Email: chan@scitec.auckland.ac.nz
- Received by editor(s): December 9, 1994
- Received by editor(s) in revised form: April 16, 1997
- Additional Notes: The first author’s work was supported by the New Zealand Foundation for Research, Science and Technology.
- © Copyright 1998 American Mathematical Society
- Journal: Math. Comp. 67 (1998), 1001-1021
- MSC (1991): Primary 65L05, 65L06, 65L20
- DOI: https://doi.org/10.1090/S0025-5718-98-00953-3
- MathSciNet review: 1464142