2005-11-16Buch DOI: 10.18452/2697
The Computation of Consistent Initial Values for Nonlinear Index-2 Differential-Algebraic Equations
Schwarz, Diana Estévez
Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik
The computation of consistent initial values for differential-algebraic equations (DAEs) is essential for staring a numerical integration. Based on the tractability index concept a method is proposed to filter those equations of a system of index-2 DAEs, whose differentiation leads to an index reduction. The considered equation class covers Hessenberg-systems and the equations arising from the simulation of electrical networks by means of Modified Nodal Analysis (MNA). The index reduction provides a method for the computation of the consistent initial values. The realized algorithm is described and illustrated by examples.
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