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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Vydané v:	AL-Rafidain journal of computer sciences and mathematics Ročník 1; číslo 2; s. 79 - 106
Hlavní autori:	Bashir M. S. Khalaf, Abdulhabib A. A. Murshid
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Mosul University 01.12.2004
Predmet:	parallel implicit methods predictor - corrector methods runge-kutta methods stiff ordinary differential equations (odes)
ISSN:	1815-4816, 2311-7990
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Popis
Shrnutí:	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