Stepsize restrictions for nonlinear stability properties of neutral delay differential equations
type: Item
instance of: scholarly article
title: Stepsize restrictions for nonlinear stability properties of neutral delay differential equations
zbMATH Open document ID: 1445.65022
DOI: 10.1155/2014/304071
author: Wei Gu
author: Ming Wang
author: Dongfang Li
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations. We obtain a special stepsize condition guaranteeing global and asymptotical stability properties of numerical methods. Some confirmations of the conditions on Runge-Kutta methods are illustrated at last.
Mathematics Subject Classification ID: 65L03
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 7022124
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/304071
OpenAlex ID: W1973141618
Wikidata QID: Q59037982
cites work: Numerical Methods for Delay Differential Equations
cites work: Collocation Methods for Volterra Integral and Related Functional Differential Equations
cites work: Convergence Analysis of the Solution of Retarded and Neutral Delay Differential Equations by Continuous Numerical Methods
cites work: Numerical stability of nonlinear delay differential equations of neutral type
cites work: A stable numerical approach for implicit non-linear neutral delay differential equations
cites work: Q4795619
cites work: Nonlinear stability of Runge-Kutta methods for neutral delay differential equations
cites work: Nonlinear stability of general linear methods for neutral delay differential equations
cites work: A modified generalized Laguerre-Gauss collocation method for fractional neutral functional-differential equations on the half-line
cites work: A shifted Jacobi-Gauss collocation scheme for solving fractional neutral functional-differential equations
cites work: A Legendre-Gauss collocation method for neutral functional-differential equations with proportional delays
cites work: A new Jacobi rational-Gauss collocation method for numerical solution of generalized pantograph equations
cites work: A pseudospectral algorithm for solving multipantograph delay systems on a semi-infinite interval using Legendre rational functions
cites work: Nonlinear stability of discontinuous Galerkin methods for delay differential equations
cites work: Q5319617
cites work: Stepsize restrictions for total-variation-boundedness in general Runge--Kutta procedures
cites work: On strong stability preserving time discretization methods
cites work: Stepsize Restrictions for Stability of One-Step Methods in the Numerical Solution of Initial Value Problems
cites work: Stepsize Conditions for General Monotonicity in Numerical Initial Value Problems
cites work: The extended one-leg methods for nonlinear neutral delay-integro-differential equations
cites work: Dissipativity of Runge-Kutta methods for neutral delay integro-differential equations
cites work: Q3687624
cites work: Stability analysis of Runge-Kutta methods for systems of delay differential equations
cites work: LDG method for reaction-diffusion dynamical systems with time delay
cites work: Long time behavior of non-Fickian delay reaction-diffusion equations
cites work: Nonlinear stability of general linear methods for delay differential equations
cites work: Numerical Solution of Implicit Neutral Functional Differential Equations
cites work: Monotonicity for Runge-Kutta methods: inner product norms
cites work: Stability of exact and discrete energy for non-Fickian reaction-diffusion equations with a variable delay
description: scientific article; zbMATH DE number 7022124