Differential-Algebraic Equations: Theory and Simulation

Peter Kunkel
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Peter Kunkel: Universität Leipzig, Fakultät für Mathematik und Informatik, Mathematisches Institut

Chapter Chapter 16 in Numerical Algebra, Matrix Theory, Differential-Algebraic Equations and Control Theory, 2015, pp 435-462 from Springer

Abstract: Abstract We give an overview of the theory of unstructured nonlinear DAEs of arbitrary index. The approach is extended to overdetermined consistent DAEs in order to be able to include known first integrals. We then discuss various computational issues for the numerical solution of corresponding DAE problems. These include the design of special Gauß-Newton techniques as well as the treatment of parametrized nonlinear systems in the context of DAEs. Examples demonstrate their applicability and performance.

Keywords: Collocation Method; Implicit Function Theorem; Full Column Rank; Automatic Differentiation; Arbitrary Index (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-15260-8_16

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DOI: 10.1007/978-3-319-15260-8_16

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