Implementation of parallel three-point block codes for solving large systems of ordinary differential equations.
The three-point fully implicit block methods are developed for solving large systems of ordinary differential equations using variable step size on a parallel shared memory computer. The methods calculate the numerical solution at three points simultaneously and are suitable for parallelization acro...
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| Format: | Article |
| Language: | English English |
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Taylor & Francis
2010
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| Online Access: | http://psasir.upm.edu.my/id/eprint/15124/ http://psasir.upm.edu.my/id/eprint/15124/ http://psasir.upm.edu.my/id/eprint/15124/1/Implementation%20of%20parallel%20three.pdf |
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upm-15124 |
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eprints |
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upm-151242015-10-29T08:18:18Z http://psasir.upm.edu.my/id/eprint/15124/ Implementation of parallel three-point block codes for solving large systems of ordinary differential equations. Abdul Majid, Zanariah Suleiman, Mohamed The three-point fully implicit block methods are developed for solving large systems of ordinary differential equations using variable step size on a parallel shared memory computer. The methods calculate the numerical solution at three points simultaneously and are suitable for parallelization across the method. The methods are in a simple form as Adams Moulton method with the specific aim of gaining efficiency. For large problems, the parallel implementation produced a good speed-up with respect to the sequential timing and hence better efficiency for the methods developed. Taylor & Francis 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/15124/1/Implementation%20of%20parallel%20three.pdf Abdul Majid, Zanariah and Suleiman, Mohamed (2010) Implementation of parallel three-point block codes for solving large systems of ordinary differential equations. International Journal of Computer Mathematics , 87 (6). pp. 1415-1429. ISSN 0020-7160 10.1080/00207160802380900 English |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Putra Malaysia |
| building |
UPM Institutional Repository |
| collection |
Online Access |
| language |
English English |
| description |
The three-point fully implicit block methods are developed for solving large systems of ordinary differential equations using variable step size on a parallel shared memory computer. The methods calculate the numerical solution at three points simultaneously and are suitable for parallelization across the method. The methods are in a simple form as Adams Moulton method with the specific aim of gaining efficiency. For large problems, the parallel implementation produced a good speed-up with respect to the sequential timing and hence better efficiency for the methods developed.
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| format |
Article |
| author |
Abdul Majid, Zanariah Suleiman, Mohamed |
| spellingShingle |
Abdul Majid, Zanariah Suleiman, Mohamed Implementation of parallel three-point block codes for solving large systems of ordinary differential equations. |
| author_facet |
Abdul Majid, Zanariah Suleiman, Mohamed |
| author_sort |
Abdul Majid, Zanariah |
| title |
Implementation of parallel three-point block codes for solving large systems of ordinary differential equations. |
| title_short |
Implementation of parallel three-point block codes for solving large systems of ordinary differential equations. |
| title_full |
Implementation of parallel three-point block codes for solving large systems of ordinary differential equations. |
| title_fullStr |
Implementation of parallel three-point block codes for solving large systems of ordinary differential equations. |
| title_full_unstemmed |
Implementation of parallel three-point block codes for solving large systems of ordinary differential equations. |
| title_sort |
implementation of parallel three-point block codes for solving large systems of ordinary differential equations. |
| publisher |
Taylor & Francis |
| publishDate |
2010 |
| url |
http://psasir.upm.edu.my/id/eprint/15124/ http://psasir.upm.edu.my/id/eprint/15124/ http://psasir.upm.edu.my/id/eprint/15124/1/Implementation%20of%20parallel%20three.pdf |
| first_indexed |
2018-09-07T13:34:46Z |
| last_indexed |
2018-09-07T13:34:46Z |
| _version_ |
1610955920611737600 |