Solving differential-algebraic equations by selecting universal dummy derivatives

McKenzie, Ross and Pryce, John D. ORCID: https://orcid.org/0000-0003-1702-7624 2016. Solving differential-algebraic equations by selecting universal dummy derivatives. 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:	21 Oct 2022 07:36
URI:	https://orca.cardiff.ac.uk/id/eprint/100284

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