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

Mohd Salleh Sahimi, Norma Alias, Elankovan A Sundararajan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

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 languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages918-927
Number of pages10
Volume2073
ISBN (Print)3540422323, 9783540422327
Publication statusPublished - 2001
EventInternational Conference on Computational Science, ICCS 2001 - San Francisco, United States
Duration: 28 May 200130 May 2001

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2073
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

OtherInternational Conference on Computational Science, ICCS 2001
CountryUnited States
CitySan Francisco
Period28/5/0130/5/01

Fingerprint

Iterative methods
Parallelization
Heat Equation
Decomposition
Parallel Implementation
Speedup
Decompose
Hot Temperature
Class

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Sahimi, M. S., Alias, N., & A Sundararajan, E. (2001). The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM. In 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.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 2073 Springer Verlag, 2001. p. 918-927 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 2073).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Sahimi, MS, Alias, N & A Sundararajan, E 2001, The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM. in 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.
Sahimi MS, Alias N, A Sundararajan E. The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 2073. Springer Verlag. 2001. p. 918-927. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
Sahimi, Mohd Salleh ; Alias, Norma ; A Sundararajan, Elankovan. / The AGEB algorithm for solving the heat equation in three space dimensions and its parallelization using PVM. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 2073 Springer Verlag, 2001. pp. 918-927 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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