Parallel methods for ODEs with improved absolute stability boundaries
type: Item
instance of: scholarly article
title: Parallel methods for ODEs with improved absolute stability boundaries
zbMATH Open document ID: 0789.65056
author: Peter B. Worland
published in: Journal of Parallel and Distributed Computing
publication date: 1993-12-20T00:00:00Z
review text: Explicit PECE multi-block methods are considered for the parallel solution of mildly stiff initial value problems. The general procedure adopted is to consider modifications to existing methods of this type in order to achieve bigger regions of absolute stability. More specifically, from an existing PECE method a new method is derived by taking a linear combination of the predicted and corrected values to define the output values. For a number of well-known methods particular combinations are derived experimentally using computer searches, to get methods with improved stability regions. For comparison purposes the local truncation error terms are also given for all the original and modified formulae considered. Typical cost/accuracy plots are given for all the methods, based on constant stepsize implementations.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34E13
zbMATH DE Number: 469115
zbMATH Keywords: predictor-corrector method
zbMATH Keywords: parallel computation
zbMATH Keywords: stiff problems
zbMATH Keywords: explicit PECE multi-block methods
zbMATH Keywords: regions of absolute stability
zbMATH Keywords: comparison
zbMATH Keywords: local truncation error
MaRDI profile type: Publication
full work available at URL: jpdc.1993.1041
OpenAlex ID: W1998716872
DOI: 10.1006/JPDC.1993.1041
description: scientific article; zbMATH DE number 469115