A family of parallel Runge-Kutta pairs
type: Item
instance of: scholarly article
title: A family of parallel Runge-Kutta pairs
zbMATH Open document ID: 0849.65054
DOI: 10.1016/0898-1221(96)00003-X
publication date: 1996-11-03T00:00:00Z
review text: Design considerations for \((p, p- 1)\) pairs of explicit parallel Runge-Kutta methods with \(p\) the order of the solution and \(p- 1\) the order of the error estimator. The objective is to use as few as possible processors with high efficiency. Pairs with \(p= 5\) and 2 processors and with \(p= 7\) and 3 processors are designed and tested.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 878530
zbMATH Keywords: explicit parallel Runge-Kutta methods
zbMATH Keywords: error estimator
author: Przemyslaw Bogacki
describes a project that uses: STDTST
describes a project that uses: NSDTST
MaRDI profile type: Publication
cites work: Parallel defect control
cites work: Parallel methods for ordinary differential equations
cites work: Q4036847
cites work: One-Stage Parallel Methods for the Numerical Solution of Ordinary Differential Equations
cites work: Two-Stage Parallel Methods for the Numerical Solution of Ordinary Differential Equations
cites work: Q4036829
cites work: Parallel implementation of interpolants for Runge-Kutta pairs
cites work: Parallel iteration of high-order Runge-Kutta methods with stepsize control
cites work: The Potential for Parallelism in Runge–Kutta Methods. Part 1: RK Formulas in Standard Form
cites work: Q4733317
cites work: Q4725642
cites work: A family of embedded Runge-Kutta formulae
cites work: An optimal (m+3)[m+4] Runge Kutta algorithm
cites work: High order embedded Runge-Kutta formulae
cites work: Some Practical Runge-Kutta Formulas
cites work: An efficient Runge-Kutta \((4,5)\) pair
cites work: Completely Imbedded Runge–Kutta Pairs
cites work: Two FORTRAN packages for assessing initial value methods
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 878530