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Global error estimation for index-1 and -2 DAEs
Authors:Jeannerod  CP  Visconti  J
Institution:(1) LMC/IMAG, 51 Rue des Mathématiques, Grenoble, France E-mail:
Abstract:In this paper, we consider the extension of three classical ODE estimation techniques (Richardson extrapolation, Zadunaisky's technique and solving for the correction) to DAEs. Their convergence analysis is carried out for semi-explicit index-1 DAEs solved by a wide set of Runge-Kutta methods. Experimentation of the estimation techniques with RADAU5 is also presented: their behaviour for index-1 and -2 problems, and for variable step size integration is investigated. This revised version was published online in June 2006 with corrections to the Cover Date.
Keywords:global error estimation  differential algebraic equations  implicit Runge-Kutta methods  Richardson extrapolation  Zadunaisky's technique  solving for the correction
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