ESIRK methods and variable stepsize
type: Item
instance of: scholarly article
title: ESIRK methods and variable stepsize
zbMATH Open document ID: 0927.65096
DOI: 10.1016/S0168-9274(98)00076-2
author: D. J. L. Chen
author: J. C. Butcher
published in: Applied Numerical Mathematics
publication date: 1999-11-25T00:00:00Z
review text: Singly implicit Runge-Kutta methods (SIRK) have been introduced in order to reduce the implementation costs. Many of them, however, have the disadvantage that certain internal stages approximate the solution outside the integration interval. The idea of effective order permits to overcome this difficulty, but leads to a less straightforward implementation with variable stepsizes. This article discusses step changing strategies, and analyzes local truncation errors and stability properties of the new procedures.
reviewed by: Ernst Hairer
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1311278
zbMATH Keywords: singly implicit Runge-Kutta methods
zbMATH Keywords: variable stepsize
zbMATH Keywords: effective order
zbMATH Keywords: error bounds
zbMATH Keywords: stability
MaRDI profile type: Publication
cites work: Q5577991
cites work: A generalization of singly-implicit Runge-Kutta methods
cites work: The effective order of singly-implicit Runge-Kutta methods
full work available at URL: s0168-9274(98)00076-2
OpenAlex ID: W2002894026
description: scientific article; zbMATH DE number 1311278