Increasing the real stability boundary of explicit methods
type: Item
instance of: scholarly article
title: Increasing the real stability boundary of explicit methods
zbMATH Open document ID: 0711.65068
DOI: 10.1016/0898-1221(90)90046-M
author: B. P. Sommeijer
publication date: 1990-01-01T00:00:00Z
review text: The paper proposes an extension to `classical' explicit Runge-Kutta methods. This extension results in an increased real stability boundary. As disadvantage of the new methods the fact may be noted, that the algorithm has changed from a one-step method into a multistep method. Methods of orders 1-4 are analyzed. For these methods the resulting stability boundary is found. Some numerical results of applications of these methods to parabolic partial differential equations are given.
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 4170000
zbMATH Keywords: method of lines
zbMATH Keywords: numerical examples
zbMATH Keywords: explicit Runge-Kutta methods
zbMATH Keywords: real stability boundary
zbMATH Keywords: algorithm
zbMATH Keywords: multistep method
reviewed by: Vladimir L. Makarov
MaRDI profile type: Publication
cites work: Q3208026
cites work: Q3698210
cites work: Q5674335
cites work: Q5822281
cites work: Q5536978
cites work: Stability of explicit time discretizations for solving initial value problems
cites work: Q4131550
cites work: Predictor-corrector Methods with Improved Absolute Stability Regions
cites work: Q5719651
full work available at URL: 0898-1221(90)90046-m
OpenAlex ID: W2093031030
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4170000