Efficient Runge-Kutta integrators for index-2 differential algebraic equations
Open Access
- 1 July 1998
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 67 (223) , 1001-1021
- https://doi.org/10.1090/s0025-5718-98-00953-3
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.Keywords
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