The additional dynamics of least squares completions for linear differential algebraic equations
type: Item
instance of: scholarly article
title: The additional dynamics of least squares completions for linear differential algebraic equations
zbMATH Open document ID: 1132.34006
author: Irfan Okay
author: Stephen L. Campbell
author: Peter Kunkel
published in: Linear Algebra and its Applications
publication date: 2007-08-27T00:00:00Z
full work available at URL: http://www.lib.ncsu.edu/resolver/1840.16/3151
review text: The present paper deals with the numerical treatment of linear differential algebraic equations (DAEs) of higher index. The authors suggest to derive the essential underlying ordinary differential equation (ODE) and to construct a completion of it on an open subset. These completions are not unique for higher index DAEs and their extra dynamics depend on the choice of the linear algebra. The completed ODE can then be integrated numerically with a suitable standard ODE integrator. Nevertheless, the additional dynamics of the completion can affect the numerical solution of the DAE. The present paper analyzes this extra dynamics in the case of least squares completions of linear invariant DAEs.
reviewed by: Johannes Schropp
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A30
Mathematics Subject Classification ID: 65L80
zbMATH DE Number: 5183332
zbMATH Keywords: differential algebraic equations
zbMATH Keywords: DAEs
zbMATH Keywords: extra dynamics
describes a project that uses: GELDA
MaRDI profile type: Publication
OpenAlex ID: W2085232468
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DOI: 10.1016/J.LAA.2007.02.005
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description: scientific article; zbMATH DE number 5183332