Note on explicit parallel multistep Runge-Kutta methods
type: Item
instance of: scholarly article
title: Note on explicit parallel multistep Runge-Kutta methods
zbMATH Open document ID: 0683.65056
DOI: 10.1016/0377-0427(89)90026-5
author: P. J. van der Houwen
author: B. P. Sommeijer
author: P. A. van Mourik
published in: Journal of Computational and Applied Mathematics
publication date: 1989-01-01T00:00:00Z
review text: The authors propose a class of explicit multistep, multistage Runge-Kutta methods which is designed in such a way that all stages in each step can be computed in parallel and the computation time is comparable with that of linear multistep methods, that is, they require effectively only one right-hand side evaluation per step. In some detail a family of two-step, two-stage Runge-Kutta methods of Adams type is analyzed. Numerical examples are presented.
reviewed by: Rolf-Dieter Reiss
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4119523
zbMATH Keywords: stability
zbMATH Keywords: parallel computation
zbMATH Keywords: explicit multistep, multistage Runge- Kutta methods
zbMATH Keywords: linear multistep methods
zbMATH Keywords: two-step, two-stage Runge-Kutta methods of Adams type
zbMATH Keywords: Numerical examples
MaRDI profile type: Publication
full work available at URL: 0377-0427(89)90026-5
OpenAlex ID: W2065445194
cites work: Q3750978
cites work: Comparing numerical methods for stiff systems of O.D.E:s
cites work: Q3779682
cites work: Q4131550
cites work: Comparing Numerical Methods for Ordinary Differential Equations
description: scientific article; zbMATH DE number 4119523