Numerical integration of positive linear differential-algebraic systems
type: Item
instance of: scholarly article
title: Numerical integration of positive linear differential-algebraic systems
zbMATH Open document ID: 1277.65068
published in: Numerische Mathematik
publication date: 2013-06-17T00:00:00Z
full work available at URL: https://depositonce.tu-berlin.de/handle/11303/15759
review text: This paper develops numerical techniques for preserving the positivity as well as the algebraic constraints of linear positive differential algebraic equations. The key approach is the decomposition of \(Ex'= Ax+ f\) into its differential and algebraic components. It is shown that when applied to index one systems stiffly accurate Runge-Kutta methods preserve this positivity, but for higher index problems standard approaches are not suitable.
Mathematics Subject Classification ID: 65L80
Mathematics Subject Classification ID: 65L08
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 6176430
zbMATH Keywords: positivity
zbMATH Keywords: decomposition
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: linear positive differential algebraic equations
author: Ann-Kristin Baum
author: Volker Mehrmann
reviewed by: Kevin Burrage
describes a project that uses: RODAS
MaRDI profile type: Publication
OpenAlex ID: W2089257158
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DOI: 10.1007/S00211-013-0514-Z
description: scientific article; zbMATH DE number 6176430