The AGEB Algorithm for Solving the Heat Equation in Three Dimensions and Its Parallelization Using PVM
In this paper, a new algorithm in the class of the AGE method based on the Brian variant (AGEB) of the ADI is developed to solve the heat equation in 3 space dimensions. The method is it-erative, convergent, stable and second order accurate with respect to space and time. It is inherently explicit...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin / Heidelberg
2001
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| Online Access: | http://eprints.utm.my/6468/1/age3d_norma.pdf |
| _version_ | 1825909902120321024 |
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| author | Sahimi, Mohd Salleh Alias, Norma Sundarajan, Elankovan |
| author_facet | Sahimi, Mohd Salleh Alias, Norma Sundarajan, Elankovan |
| author_sort | Sahimi, Mohd Salleh |
| collection | ePrints |
| description | In this paper, a new algorithm in the class of the AGE
method based on the Brian variant (AGEB) of the ADI is developed to solve the heat equation in 3 space dimensions. The method is it-erative, convergent, stable and second order accurate with respect to space and time. It is inherently explicit and is therefore well suited for
parallel implementation on the PVM where data decomposition is run asynchronously and concurrently at every time level. Its performance is assessed in terms of speed-up, efficiency and effectiveness. |
| first_indexed | 2024-03-05T18:09:03Z |
| format | Article |
| id | utm.eprints-6468 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T18:09:03Z |
| publishDate | 2001 |
| publisher | Springer Berlin / Heidelberg |
| record_format | dspace |
| spelling | utm.eprints-64682010-06-01T15:43:31Z http://eprints.utm.my/6468/ The AGEB Algorithm for Solving the Heat Equation in Three Dimensions and Its Parallelization Using PVM Sahimi, Mohd Salleh Alias, Norma Sundarajan, Elankovan QA Mathematics In this paper, a new algorithm in the class of the AGE method based on the Brian variant (AGEB) of the ADI is developed to solve the heat equation in 3 space dimensions. The method is it-erative, convergent, stable and second order accurate with respect to space and time. It is inherently explicit and is therefore well suited for parallel implementation on the PVM where data decomposition is run asynchronously and concurrently at every time level. Its performance is assessed in terms of speed-up, efficiency and effectiveness. Springer Berlin / Heidelberg 2001 Article PeerReviewed application/pdf en http://eprints.utm.my/6468/1/age3d_norma.pdf Sahimi, Mohd Salleh and Alias, Norma and Sundarajan, Elankovan (2001) The AGEB Algorithm for Solving the Heat Equation in Three Dimensions and Its Parallelization Using PVM. Lecture Notes in Computer Science, 2073/2 . pp. 918-929. ISSN 0302-9743 (Print) 1611-3349 (Online) http://dx.doi.org/10.1007/3-540-45545-0 10.1007/3-540-45545-0 |
| spellingShingle | QA Mathematics Sahimi, Mohd Salleh Alias, Norma Sundarajan, Elankovan The AGEB Algorithm for Solving the Heat Equation in Three Dimensions and Its Parallelization Using PVM |
| title | The AGEB Algorithm for Solving the Heat Equation in Three Dimensions and Its Parallelization Using PVM |
| title_full | The AGEB Algorithm for Solving the Heat Equation in Three Dimensions and Its Parallelization Using PVM |
| title_fullStr | The AGEB Algorithm for Solving the Heat Equation in Three Dimensions and Its Parallelization Using PVM |
| title_full_unstemmed | The AGEB Algorithm for Solving the Heat Equation in Three Dimensions and Its Parallelization Using PVM |
| title_short | The AGEB Algorithm for Solving the Heat Equation in Three Dimensions and Its Parallelization Using PVM |
| title_sort | ageb algorithm for solving the heat equation in three dimensions and its parallelization using pvm |
| topic | QA Mathematics |
| url | http://eprints.utm.my/6468/1/age3d_norma.pdf |
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