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...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English English |
| Published: |
EuroJournals
2009
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/16033/ http://psasir.upm.edu.my/id/eprint/16033/1/Parallel%20execution%20of%20diagonally%20implicit%20Runge.pdf |
| _version_ | 1848842846961926144 |
|---|---|
| author | Ismail, Fudziah Siri, Zailan Othman, Mohamad Suleiman, Mohamed |
| author_facet | Ismail, Fudziah Siri, Zailan Othman, Mohamad Suleiman, Mohamed |
| author_sort | Ismail, Fudziah |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T08:05:38Z |
| format | Article |
| id | upm-16033 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:05:38Z |
| publishDate | 2009 |
| publisher | EuroJournals |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| spellingShingle | Ismail, Fudziah Siri, Zailan Othman, Mohamad Suleiman, Mohamed Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs. |
| title | 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_short | Parallel execution of diagonally implicit Runge-Kutta methods for solving IVPs. |
| title_sort | parallel execution of diagonally implicit runge-kutta methods for solving ivps. |
| url | http://psasir.upm.edu.my/id/eprint/16033/ http://psasir.upm.edu.my/id/eprint/16033/1/Parallel%20execution%20of%20diagonally%20implicit%20Runge.pdf |