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/15124/1/Implementation%20of%20parallel%20three.pdf |
| _version_ | 1848842589295345664 |
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| author | Abdul Majid, Zanariah Suleiman, Mohamed |
| author_facet | Abdul Majid, Zanariah Suleiman, Mohamed |
| author_sort | Abdul Majid, Zanariah |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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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| first_indexed | 2025-11-15T08:01:32Z |
| format | Article |
| id | upm-15124 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-15T08:01:32Z |
| publishDate | 2010 |
| publisher | Taylor & Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | 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 |
| spellingShingle | Abdul Majid, Zanariah Suleiman, Mohamed Implementation of parallel three-point block codes for solving large systems of ordinary differential equations. |
| title | 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_short | 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. |
| 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 |