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The computation of consistent initial values for nonlinear index-2 differential–algebraic equations

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Abstract

The computation of consistent initial values for differential–algebraic equations (DAEs) is essential for starting 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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Authors and Affiliations

  1. Humboldt-Universität Berlin, Unter den Linden 6, D-10099, Berlin, Germany

    Diana Estévez Schwarz & René Lamour

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  1. Diana Estévez Schwarz
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  2. René Lamour
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Estévez Schwarz, D., Lamour, R. The computation of consistent initial values for nonlinear index-2 differential–algebraic equations. Numerical Algorithms 26, 49–75 (2001). https://doi.org/10.1023/A:1016696413810

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