Acceleration of Runge-Kutta integration schemes
type: Item
instance of: scholarly article
title: Acceleration of Runge-Kutta integration schemes
zbMATH Open document ID: 1067.65070
DOI: 10.1155/S1026022604311039
author: Firdaus E. Udwadia
author: Phailaung Phohomsiri
published in: Discrete Dynamics in Nature and Society
publication date: 2005-04-22T00:00:00Z
full work available at URL: https://eudml.org/doc/124922
review text: Summary: A simple accelerated third-order Runge-Kutta-type, fixed time step, integration scheme that uses just two function evaluations per step is developed. Because of the lower number of function evaluations, the scheme proposed herein has a lower computational cost than the standard third-order Runge-Kutta scheme while maintaining the same order of local accuracy. Numerical examples illustrating the computational efficiency and accuracy are presented and the actual speedup when the accelerated algorithm is implemented is also provided.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65Y20
zbMATH DE Number: 2160817
zbMATH Keywords: numerical examples
zbMATH Keywords: Runge-Kutta scheme
zbMATH Keywords: computational efficiency
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 2160817