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


Citation

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

Abstract / Synopsis

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.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Publisher: EuroJournals
Keywords: Diagonally Implicit Runge-Kutta (DIRK) methods; Sequential; Parallel.
Depositing User: Najwani Amir Sariffudin
Date Deposited: 25 Jul 2013 08:24
Last Modified: 29 Sep 2015 11:16
URI: http://psasir.upm.edu.my/id/eprint/16033
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