On using explicit Runge-Kutta-Nyström methods for the treatment of retarded differential equations with periodic solutions
type: Item
instance of: scholarly article
title: On using explicit Runge-Kutta-Nyström methods for the treatment of retarded differential equations with periodic solutions
zbMATH Open document ID: 0937.65084
DOI: 10.1016/S0096-3003(98)10020-6
published in: Applied Mathematics and Computation
publication date: 2000-06-07T00:00:00Z
review text: This paper is concerned with the numerical treatment of retarded differential equations. Embedded high order pairs of explicit Runge-Kutta-Nyström methods are used coupled with Hermite interpolants. New continuous extensions of high phase-lag order are constructed and analyzed. Numerical experiments and comparisons over various test problems are given.
reviewed by: Rudolf Scherer
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34K05
Mathematics Subject Classification ID: 34K28
zbMATH DE Number: 1311056
zbMATH Keywords: delay equations
zbMATH Keywords: scaling
zbMATH Keywords: continuous extensions
zbMATH Keywords: phase lag
zbMATH Keywords: numerical experiments
zbMATH Keywords: retarded differential equations
zbMATH Keywords: explicit Runge-Kutta-Nyström methods
author: George Papageorgiou
author: I. Th. Famelis
describes a project that uses: Mathematica
describes a project that uses: Matlab
MaRDI profile type: Publication
cites work: Theory of functional differential equations. 2nd ed
cites work: Q3337396
cites work: Issues in the numerical solution of evolutionary delay differential equations
cites work: Solving Ordinary Differential Equations I
cites work: Diagonally Implicit Runge–Kutta–Nyström Methods for Oscillatory Problems
cites work: Q3698187
cites work: The collocation method of the numerical approximation of the periodic solutions of functional differential equations
cites work: High-Order Embedded Runge-Kutta-Nystrom Formulae
cites work: High Phase-Lag-Order Runge--Kutta and Nyström Pairs
cites work: Interpolating runge-kutta-nyström methods of high order
cites work: Q3823708
cites work: Continuous Runge-Kutta(-Nyström) methods with reduced phase-errors
cites work: Eine Runge-Kutta-Nyström-Formel 9-ter Ordnung mit Schrittweitenkontrolle für Differentialgleichungenx =f(t, x)
description: scientific article; zbMATH DE number 1311056