Order stars and stability for delay differential equations
type: Item
instance of: scholarly article
title: Order stars and stability for delay differential equations
zbMATH Open document ID: 0937.65079
author: Nicola Guglielmi
author: Ernst Hairer
published in: Numerische Mathematik
publication date: 1999-10-31T00:00:00Z
review text: The authors study the \(\tau(0)\)-stability of symmetric Runge-Kutta methods of delay differential equations \(y'(t)= ay(t)+ by(t-1)\) with the help of order stars. They prove that the Gauss methods all and the Radau methods for \(s=2\) satisfy this property.
reviewed by: Ziwen Jiang
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34K05
zbMATH DE Number: 1355438
zbMATH Keywords: \(\tau(0)\)-stability
zbMATH Keywords: Runge-Kutta methods
zbMATH Keywords: delay differential equations
zbMATH Keywords: order stars
zbMATH Keywords: Gauss methods
zbMATH Keywords: Radau methods
MaRDI profile type: Publication
full work available at URL: s002110050454
OpenAlex ID: W1976771036
DOI: 10.1007/S002110050454
description: scientific article; zbMATH DE number 1355438