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Solving differential-algebraic equations by selecting universal dummy derivatives

McKenzie, Ross and Pryce, John D. 2016. Solving differential-algebraic equations by selecting universal dummy derivatives. In: Belair, J., Frigaard, I., Kunze, H., Makarov, R., Melnik, R. and Spiteri, R. eds. Mathematical and Computational Approaches in Advancing Modern Science and Engineering, Springer, pp. 665-676. (10.1007/978-3-319-30379-6_60)

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Abstract

A common way of making a high index DAE amenable to numerical solution is that of index reduction. A classical way of reducing a DAE’s index is the dummy derivative method of Mattsson and Söderlind, however for many problems this method only provides a local index 1 DAE. Using the Signature Matrix based structural analysis of Pryce to inform the dummy derivative method we present a way to make this reduction global, where instead of picking new dummy derivatives at run time and thus changing the overall structure of the problem you instead have to update a list of parameters.

Item Type: Book Section
Date Type: Published Online
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: Springer
Last Modified: 04 Jun 2017 09:49
URI: http://orca.cf.ac.uk/id/eprint/100284

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