Parallel solution of Fredholm integral equations of the second kind by accelerated projection methods
type: Item
instance of: scholarly article
title: Parallel solution of Fredholm integral equations of the second kind by accelerated projection methods
zbMATH Open document ID: 0794.65095
DOI: 10.1016/0167-8191(93)90020-L
author: Rajesh Aggarwal
author: David R. Dellwo
author: Morton B. Friedman
published in: Parallel Computing
publication date: 1994-08-31T00:00:00Z
review text: The authors consider accelerated projection methods, developing their earlier results [see \textit{D. R. Dellwo} and \textit{M. B. Friedman} [SIAM J. Numer. Anal. 28, No. 1, 236-250 (1991; Zbl 0725.65056)]. Since the projection operation remains unchanged the communication work associated with the solution of the relevant algebraic system is significantly reduced when compared to the classical techniques which require projection onto a space of greater dimension for increased accuracy. The methods are implemented in details for the weakly singular linear integral equation of the second kind, which appears in the special case of the theory of intrinsic viscosity. Parallelization is used to set up the algebraic systems whereas the solutions of the system itself are performed in serial. The numerical results are obtained on a Balance 2100 shared memory multiprocessor system using SHEDULE parallel programming package [\textit{J. J. Dongarra} and \textit{D. C. Sorenson}, SHEDULE users guide, Argonne National Laboratory, Argonne (1987)].
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 516729
zbMATH Keywords: parallel computation
zbMATH Keywords: accelerated projection methods
zbMATH Keywords: weakly singular linear integral equation of the second kind
zbMATH Keywords: numerical results
zbMATH Keywords: multiprocessor
reviewed by: L.Sh.Ioffe
MaRDI profile type: Publication
full work available at URL: 0167-8191(93)90020-l
OpenAlex ID: W2041745449
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description: scientific article; zbMATH DE number 516729