Solving Differential-Algebraic Equations by Selecting Universal Dummy Derivatives

Ross McKenzie () and John D. Pryce ()
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Ross McKenzie: Cardiff University, School of Mathematics
John D. Pryce: Cardiff University, School of Mathematics

A chapter in Mathematical and Computational Approaches in Advancing Modern Science and Engineering, 2016, pp 665-676 from Springer

Abstract: 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.

Keywords: Dummy Derivatives; Significant Matrix; Index Reduction; Pivotal Structure; Numerous Switches (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-30379-6_60

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DOI: 10.1007/978-3-319-30379-6_60

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