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A composition law for Runge-Kutta methods applied to index-2 differential-algebraic equations
Authors:R. P. K. Chan  P. Chartier
Affiliation:(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.
Keywords:Differential-algebraic systems of index 2  Runge-Kutta methods  rooted trees  symmetric methods  composition
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