(1) Tamaki Campus, The University of Auckland, Private Bag, 92019 Auckland, New Zealand;(2) Campus de Beaulieu, INRIA-Rennes, F-35042 Rennes Cedex, France
Abstract:
This paper presents a new composition law for Runge-Kutta methods when applied to index-2 differential-algebraic systems. Applications of this result to the study of the order of composite methods and of symmetric methods are given.