Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems
type: Item
instance of: scholarly article
title: Error of partitioned Runge-Kutta methods for multiple stiff singular perturbation problems
zbMATH Open document ID: 0956.65057
author: Aiguo Xiao
author: Shoufu Li
published in: Computing
publication date: 2000-04-27T00:00:00Z
review text: This paper considers the error behaviour of partitioned Runge-Kutta methods (PRKs) applied to stiff singular perturbation problems where the stiffness arises through the size of the reciprocal of the perturbation parameter. Under certain assumptions which include algebraic stability and diagonal stability and with \(q\) the minimum of the stage orders of the two component methods in the PRK formulation then the global orders are shown to be \(q\) in both the stepsize and the perturbation parameter.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 65L50
zbMATH DE Number: 1437132
zbMATH Keywords: error bounds
zbMATH Keywords: stepsize control
zbMATH Keywords: partitioned Runge-Kutta methods
zbMATH Keywords: stiff singular perturbation problems
zbMATH Keywords: algebraic stability
zbMATH Keywords: diagonal stability
reviewed by: Kevin Burrage
MaRDI profile type: Publication
full work available at URL: s006070050008
OpenAlex ID: W1986084506
DOI: 10.1007/S006070050008
description: scientific article; zbMATH DE number 1437132