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Efficient Runge-Kutta integrators for index-2 differential algebraic equations
Author(s):
J.
C.
Butcher;
R.
P. K.
Chan.
Journal:
Math. Comp.
67
(1998),
1001-1021.
MSC (1991):
Primary 65L05, 65L06, 65L20
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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
DOI:
10.1090/S0025-5718-98-00953-3
PII:
S 0025-5718(98)00953-3
Keywords:
Differential algebraic systems of index 2,
singly-implicit Runge-Kutta methods,
diagonal extensions,
Laguerre polynomials
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 of article:
Copyright
1998,
American Mathematical Society
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