On the \(\theta\)-method for delay differential equations with infinite lag
type: Item
instance of: scholarly article
title: On the \(\theta\)-method for delay differential equations with infinite lag
zbMATH Open document ID: 0853.65076
DOI: 10.1016/0377-0427(95)00222-7
author: Yunkang Liu
published in: Journal of Computational and Applied Mathematics
publication date: 1996-12-08T00:00:00Z
review text: This paper analyses the asymptotic stability of both a simple linear delay differential equation with constant delay and the corresponding TGP stability of the linear \(\theta\)-method and the one-leg \(\theta\)-method which are shown to be TGP-stable if and only if \(\theta= 1\).
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 910310
zbMATH Keywords: theta method
zbMATH Keywords: asymptotic stability
zbMATH Keywords: linear delay differential equation
zbMATH Keywords: TGP stability
reviewed by: Kevin Burrage
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00222-7
OpenAlex ID: W2035460619
cites work: Stability analysis of linear multistep methods for delay differential equations
cites work: On the dynamics of a discretized neutral equation
cites work: Stability of the Discretized Pantograph Differential Equation
cites work: Q4860567
cites work: On the asymptotic stability of \(\theta\)-methods for delay differential equations
cites work: Q5667133
cites work: On a Functional Differential Equation
cites work: Stability analysis of numerical methods for delay differential equations
cites work: On the generalized pantograph functional-differential equation
cites work: Q4839870
cites work: On neutral functional-differential equations with proportional delays
cites work: Stability and Asymptotic Stability of Functional-Differential Equations
cites work: Asymptotic stability analysis of \(\theta\)-methods for functional differential equations
cites work: The functional-differential equation $y'\left( x \right) = ay\left( {\lambda x} \right) + by\left( x \right)$
cites work: Asymptotic behaviour of functional-differential equations with proportional time delays
cites work: Stability analysis of \(\theta\)-methods for neutral functional- differential equations
cites work: The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
cites work: The Stability of Difference Formulas for Delay Differential Equations
cites work: Q3223827
cites work: P-stability properties of Runge-Kutta methods for delay differential equations
description: scientific article; zbMATH DE number 910310