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Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs.

Diagonally Implicit Runge-Kutta (DIRK) methods are amongst the most useful and cost-effective methods for solving initial value problems but the dependency of the functions evaluations on the previous functions evaluations makes DIRK method not so favourable for parallel computers. In this paper we...

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Main Authors: Ismail, Fudziah, Siri, Zailan, Othman, Mohamad, Suleiman, Mohamed
Format: Article
Language:English
English
Published: EuroJournals 2009
Online Access:http://psasir.upm.edu.my/id/eprint/16033/1/Parallel%20execution%20of%20diagonally%20implicit%20Runge.pdf
http://psasir.upm.edu.my/id/eprint/16033/
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spelling my.upm.eprints.160332015-09-29T03:16:46Z http://psasir.upm.edu.my/id/eprint/16033/ Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs. Ismail, Fudziah Siri, Zailan Othman, Mohamad Suleiman, Mohamed Diagonally Implicit Runge-Kutta (DIRK) methods are amongst the most useful and cost-effective methods for solving initial value problems but the dependency of the functions evaluations on the previous functions evaluations makes DIRK method not so favourable for parallel computers. In this paper we used DIRK methods which are specifically designed for parallel execution to solve a set of initial value problems. Numerical results based on the sequential and parallel modes are tabulated and compared, which shows the advantage of the algorithms based on the parallel mode. EuroJournals 2009-02 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/16033/1/Parallel%20execution%20of%20diagonally%20implicit%20Runge.pdf Ismail, Fudziah and Siri, Zailan and Othman, Mohamad and Suleiman, Mohamed (2009) Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs. European Journal of Scientific Research, 26 (4). pp. 480-489. ISSN 1450-216X English
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
English
description Diagonally Implicit Runge-Kutta (DIRK) methods are amongst the most useful and cost-effective methods for solving initial value problems but the dependency of the functions evaluations on the previous functions evaluations makes DIRK method not so favourable for parallel computers. In this paper we used DIRK methods which are specifically designed for parallel execution to solve a set of initial value problems. Numerical results based on the sequential and parallel modes are tabulated and compared, which shows the advantage of the algorithms based on the parallel mode.
format Article
author Ismail, Fudziah
Siri, Zailan
Othman, Mohamad
Suleiman, Mohamed
spellingShingle Ismail, Fudziah
Siri, Zailan
Othman, Mohamad
Suleiman, Mohamed
Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs.
author_facet Ismail, Fudziah
Siri, Zailan
Othman, Mohamad
Suleiman, Mohamed
author_sort Ismail, Fudziah
title Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs.
title_short Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs.
title_full Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs.
title_fullStr Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs.
title_full_unstemmed Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs.
title_sort parallel execution of diagonally implicit runge-kutta methods for solving ivps.
publisher EuroJournals
publishDate 2009
url http://psasir.upm.edu.my/id/eprint/16033/1/Parallel%20execution%20of%20diagonally%20implicit%20Runge.pdf
http://psasir.upm.edu.my/id/eprint/16033/
_version_ 1643826099313967104
score 13.211869

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