Stability of continuous Runge-Kutta-type methods for nonlinear neutral delay-differential equations
type: Item
instance of: scholarly article
title: Stability of continuous Runge-Kutta-type methods for nonlinear neutral delay-differential equations
zbMATH Open document ID: 1205.65214
author: Yuan Zhang
author: Wansheng Wang
author: Shoufu Li
published in: Applied Mathematical Modelling
publication date: 2010-04-24T00:00:00Z
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 5701228
zbMATH Keywords: nonlinear neutral delay-differential equations
zbMATH Keywords: numerical stability
zbMATH Keywords: contractivity
zbMATH Keywords: asymptotic stability
zbMATH Keywords: continuous Runge-Kutta methods
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: j.apm.2008.10.038
OpenAlex ID: W1981827551
cites work: Q3860165
cites work: Q4229393
cites work: Numerical modelling in biosciences using delay differential equations
cites work: Bifurcation analysis of a neutral delay differential equation modelling the torsional motion of a driven drill-string.
cites work: Q3039751
cites work: Bifurcation of periodic solutions in a nonlinear difference-differential equations of neutral type
cites work: Modelling of the baroreflex-feedback mechanism with time-delay
cites work: Bifurcations in a nonlinear model of the baroreceptor-cardiac reflex
cites work: On the generalized pantograph functional-differential equation
cites work: Structured population models, conservation laws, and delay equations
cites work: Stability analysis of numerical methods for systems of neutral delay-differential equations
cites work: Stability analysis of LMMs for systems of neutral multidelay-differential equations
cites work: On the contractivity and asymptotic stability of systems of delay differential equations of neutral type
cites work: The NGP-stability of Runge-Kutta methods for systems of neutral delay differential equations
cites work: Linear stability of general linear methods for systems of neutral delay differential equations
cites work: The stability of linear multistep methods for linear systems of neutral differential equations
cites work: Strong contractivity properties of numerical methods for ordinary and delay differential equations
cites work: Numerical stability of nonlinear delay differential equations of neutral type
cites work: Q4795619
cites work: A stable numerical approach for implicit non-linear neutral delay differential equations
cites work: Nonlinear stability of one-leg methods for delay differential equations of neutral type
cites work: Nonlinear stability of Runge-Kutta methods for neutral delay differential equations
cites work: Q5866785
cites work: Q4445112
cites work: On error growth functions of Runge-Kutta methods
cites work: Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations
cites work: Stability of numerical methods for delay differential equations
cites work: Q4000061
cites work: On the \(\theta\)-method for delay differential equations with infinite lag
cites work: Asymptotic stability properties of \(\theta\)-methods for the pantograph equation
cites work: Short proofs and a counterexample for analytical and numerical stability of delay equations with infinite memory
cites work: On the one-leg \(\theta \)-methods for solving nonlinear neutral functional differential equations
DOI: 10.1016/J.APM.2008.10.038
description: scientific article; zbMATH DE number 5701228