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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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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Abstract 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.
AbstractList 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.
Author Abdulhabib A. A. Murshid
Bashir M. S. Khalaf
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Snippet The main objective of this paper is to develop and construct numerical algorithms for solving stiff system of ordinary differential equations (ODEs) which are...
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StartPage 79
SubjectTerms parallel implicit methods
predictor - corrector methods
runge-kutta methods
stiff ordinary differential equations (odes)
Title Parallel Implicit Runge-Kutta Methods for Stiff ODEs
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