Parallel Implicit Runge-Kutta Methods for Stiff ODEs

The main objective of this paper is to develop and construct numerical algorithms for solving stiff system of ordinary differential equations (ODEs) which are suitable for running on parallel computers (MIMD computers).Semi-parallel implicit Runge-Kutta methods have been derived and parallel predict...

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Bibliographic Details
Published in:	AL-Rafidain journal of computer sciences and mathematics Vol. 1; no. 2; pp. 79 - 106
Main Authors:	Bashir M. S. Khalaf, Abdulhabib A. A. Murshid
Format:	Journal Article
Language:	English
Published:	Mosul University 01.12.2004
Subjects:	parallel implicit methods predictor - corrector methods runge-kutta methods stiff ordinary differential equations (odes)
ISSN:	1815-4816, 2311-7990
Online Access:	Get full text
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Summary:	The main objective of this paper is to develop and construct numerical algorithms for solving stiff system of ordinary differential equations (ODEs) which are suitable for running on parallel computers (MIMD computers).Semi-parallel implicit Runge-Kutta methods have been derived and parallel predictor - corrector methods are developed.
ISSN:	1815-4816 2311-7990
DOI:	10.33899/csmj.2004.164113