Numerical solution of constant coefficient linear delay differential equations as abstract Cauchy problems
type: Item
instance of: scholarly article
title: Numerical solution of constant coefficient linear delay differential equations as abstract Cauchy problems
zbMATH Open document ID: 0949.65072
published in: Numerische Mathematik
publication date: 2000-12-05T00:00:00Z
review text: This paper presents a new approach for the numerical solution of the Cauchy problem for delay differential equations based on its transformation into an abstract Cauchy problem and on subsequent discretization into a system of ordinary differential equations. For the discretization scheme convergence and asymptotic stability are investigated.
reviewed by: Rudolf Scherer
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34K05
zbMATH DE Number: 1419739
zbMATH Keywords: delay differential equations
zbMATH Keywords: abstract Cauchy problem
zbMATH Keywords: convergence
zbMATH Keywords: asymptotic stability
author: Alfredo Bellen
author: S. Maset
MaRDI profile type: Publication
full work available at URL: s002110050001
OpenAlex ID: W2025792238
DOI: 10.1007/S002110050001
Recommended article: Asymptotic stability in the numerical solution of linear pure delay differential equations as abstract Cauchy problems
Recommended article: Q3560398
Recommended article: Analysis and numerical solution of linear delay differential-algebraic equations
Recommended article: An approach to the numerical integration of the Cauchy problem for delay differential equations
Recommended article: Q3583417
Recommended article: Numerical solution of retarded functional differential equations as abstract Cauchy problems.
Recommended article: Numerical Methods for Delay Differential Equations
Recommended article: Q3143382
Recommended article: A new approach to numerical solution of fixed-point problems and its application to delay differential equations
Recommended article: The application of numerical methods to solve linear systems with a time delay
description: scientific article; zbMATH DE number 1419739