The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM
In this paper, a new algorithm in the class of the AGE 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 iterative, convergent, stable and second order accurate with...
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| Format: | Article |
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Springer Berlin / Heidelberg
2001
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| _version_ | 1796853418070900736 |
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| author | Sahimi, Mohd Salleh Alias, Norma Sundararajan, Elankovan |
| author_facet | Sahimi, Mohd Salleh Alias, Norma Sundararajan, Elankovan |
| author_sort | Sahimi, Mohd Salleh |
| collection | ePrints |
| description | In this paper, a new algorithm in the class of the AGE 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 iterative, 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 | 2024-03-05T17:59:12Z |
| format | Article |
| id | utm.eprints-2424 |
| institution | Universiti Teknologi Malaysia - ePrints |
| last_indexed | 2024-03-05T17:59:12Z |
| publishDate | 2001 |
| publisher | Springer Berlin / Heidelberg |
| record_format | dspace |
| spelling | utm.eprints-24242009-05-04T05:04:27Z http://eprints.utm.my/2424/ The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM Sahimi, Mohd Salleh Alias, Norma Sundararajan, Elankovan QA75 Electronic computers. Computer science QA Mathematics In this paper, a new algorithm in the class of the AGE 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 iterative, 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 2001-01-01 Article PeerReviewed Sahimi, Mohd Salleh and Alias, Norma and Sundararajan, Elankovan (2001) The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM. Lecture Notes in Computer Science , 2073/2001 (1). pp. 918-927. ISSN 0302-9743 http://dx.doi.org/10.1007/3-540-45545-0_104 10.1007/3-540-45545-0_104 |
| spellingShingle | QA75 Electronic computers. Computer science QA Mathematics Sahimi, Mohd Salleh Alias, Norma Sundararajan, Elankovan The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM |
| title | The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM |
| title_full | The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM |
| title_fullStr | The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM |
| title_full_unstemmed | The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM |
| title_short | The AGEB Algorithm for Solving the Heat Equation in Three Space Dimensions and Its Parallelization Using PVM |
| title_sort | ageb algorithm for solving the heat equation in three space dimensions and its parallelization using pvm |
| topic | QA75 Electronic computers. Computer science QA Mathematics |
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