### Abstract

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.

Original language | English |
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Title of host publication | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Publisher | Springer Verlag |

Pages | 918-927 |

Number of pages | 10 |

Volume | 2073 |

ISBN (Print) | 3540422323, 9783540422327 |

Publication status | Published - 2001 |

Event | International Conference on Computational Science, ICCS 2001 - San Francisco, United States Duration: 28 May 2001 → 30 May 2001 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 2073 |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | International Conference on Computational Science, ICCS 2001 |
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Country | United States |

City | San Francisco |

Period | 28/5/01 → 30/5/01 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science(all)
- Theoretical Computer Science

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*(Vol. 2073, pp. 918-927). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2073). Springer Verlag.

**The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM.** / Sahimi, Mohd Salleh; Alias, Norma; A Sundararajan, Elankovan.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).*vol. 2073, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 2073, Springer Verlag, pp. 918-927, International Conference on Computational Science, ICCS 2001, San Francisco, United States, 28/5/01.

}

TY - GEN

T1 - The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM

AU - Sahimi, Mohd Salleh

AU - Alias, Norma

AU - A Sundararajan, Elankovan

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84949642170&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84949642170&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84949642170

SN - 3540422323

SN - 9783540422327

VL - 2073

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 918

EP - 927

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

PB - Springer Verlag

ER -