Parallel half-block methods for initial value problems
type: Item
instance of: scholarly article
title: Parallel half-block methods for initial value problems
zbMATH Open document ID: 0952.65055
DOI: 10.1016/S0168-9274(99)00027-6
author: Tianhai Tian
author: Kevin Burrage
published in: Applied Numerical Mathematics
publication date: 2001-01-02T00:00:00Z
review text: Several schemes are considered for making use of parallelism in the numerical solution of initial value problems. In particular, a new family of multivalue methods, the half-block methods, are studied in detail. In these methods, the solution advances in a predictor-corrector manner, with the predictor for each step evaluated in parallel with the corrector in the previous step. The evaluation of the method is both experimental and theoretical, and includes stability considerations as well as cost estimations.
Mathematics Subject Classification ID: 65L06
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L05
zbMATH DE Number: 1422600
zbMATH Keywords: predictor-corrector method
zbMATH Keywords: half-block methods
zbMATH Keywords: parallel computation
zbMATH Keywords: initial value problems
zbMATH Keywords: multivalue methods
zbMATH Keywords: stability
reviewed by: J. C. Butcher
MaRDI profile type: Publication
full work available at URL: s0168-9274(99)00027-6
OpenAlex ID: W2092349131
description: scientific article; zbMATH DE number 1422600