Linear index-1 DAEs: Regular and singular problems
type: Item
instance of: scholarly article
title: Linear index-1 DAEs: Regular and singular problems
zbMATH Open document ID: 1082.34002
DOI: 10.1023/B:ACAP.0000045308.01276.41
author: Ricardo Riaza
author: Roswitha März
published in: Acta Applicandae Mathematicae
publication date: 2005-04-07T00:00:00Z
review text: The authors study linear time-varying differential algebraic equations. They start by reviewing and comparing reduction methods with projector techniques in the regular index-1 case and propose a new hybrid approach. As examples they mainly use systems coming from the simulation of electrical circuits. Then they move on to singular problems distinguishing two types of singularities on the basis of the properties of certain system matrices. Their main tool is a scalarly implicit reduced ordinary differential equation which becomes singular, if the original differential-algebraic equation possesses singularities. Special emphasis is put on making as few smoothness assumptions as possible.
reviewed by: Werner M. Seiler
Mathematics Subject Classification ID: 34A09
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 2153908
zbMATH Keywords: differential-algebraic equation
zbMATH Keywords: linear system
zbMATH Keywords: singularity
zbMATH Keywords: projector
zbMATH Keywords: reduction
MaRDI profile type: Publication
full work available at URL: b:acap.0000045308.01276.41
OpenAlex ID: W1963947926
description: scientific article; zbMATH DE number 2153908