The index of general nonlinear DAEs
type: Item
instance of: scholarly article
title: The index of general nonlinear DAEs
zbMATH Open document ID: 0844.34007
published in: Numerische Mathematik
publication date: 1996-09-09T00:00:00Z
review text: General nonlinear differential-algebraic equations (DAEs) are considered. For the characterization of the properties a lot of different index definitions are used in literature. A (uniform \(k\)-)solvable DAE is introduced by considering a specially perturbed DAE. For solvable DAEs, a uniform and uniform differentiation index is defined and the relations to the classical differentiation and perturbation index are shown. By examples it is illustrated that the value of many of the different standard indices can vary widely. New maximum perturbation and differentiation indices which are more closely related, are introduced.
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 65L99
zbMATH DE Number: 839154
zbMATH Keywords: nonlinear differential-algebraic equations
zbMATH Keywords: DAE
zbMATH Keywords: uniform differentiation index
author: Stephen L. Campbell
author: C. William Gear
reviewed by: René Lamour
MaRDI profile type: Publication
full work available at URL: s002110050165
OpenAlex ID: W2076751185
DOI: 10.1007/S002110050165
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description: scientific article; zbMATH DE number 839154