A polyvalent Runge-Kutta triple
type: Item
instance of: scholarly article
title: A polyvalent Runge-Kutta triple
zbMATH Open document ID: 0818.65066
DOI: 10.1016/0168-9274(94)90005-1
published in: Applied Numerical Mathematics
publication date: 1994-09-26T00:00:00Z
review text: A Runge-Kutta triple is derived consisting of a main formula of order 7, a formula of order 5 for local error estimation and a continuous extension formula of order 5. A family of such triples depending on 6 parameters is considered. The criteria used in selecting the method include accuracy and stability of the main formula and measures of the quality of the local error estimate and the continuous extension. Testing against comparable methods is reported for some delay equations and for the DETEST set of problems.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34K05
zbMATH DE Number: 644293
zbMATH Keywords: Runge-Kutta triple
zbMATH Keywords: local error estimation
zbMATH Keywords: stability
zbMATH Keywords: delay equations
author: Manuel Calvo
author: J. I. Montijano
author: Luis Rández
describes a project that uses: dverk
describes a project that uses: NSDTST
describes a project that uses: STDTST
MaRDI profile type: Publication
full work available at URL: 0168-9274(94)90005-1
OpenAlex ID: W2032820582
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description: scientific article; zbMATH DE number 644293