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.
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McKenzie, R., Pryce, J.D. (2016). Solving Differential-Algebraic Equations by Selecting Universal Dummy Derivatives. In: Bélair, J., Frigaard, I., Kunze, H., Makarov, R., Melnik, R., Spiteri, R. (eds) Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-30379-6_60
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DOI: https://doi.org/10.1007/978-3-319-30379-6_60
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