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A timing comparison of the conjugate gradient and Gauss-Seidel parallel algorithms in a one-dimensional flow equation using PVM
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Source ACM Southeast Regional Conference archive
Proceedings of the 33rd annual on Southeast regional conference table of contents
Clemson, South Carolina
SESSION: Algorithms table of contents
Pages: 205 - 212  
Year of Publication: 1995
ISBN:0-89791747-2
Author
Luke Olszewski  Georgia Southern University, Statesboro, GA
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 3,   Downloads (12 Months): 32,   Citation Count: 0
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ABSTRACT

The development of parallel processing came about due to the ineffectiveness of a single processor to accommodate the solutions of large scale problems in a reasonable amount of time. In this paper, we shall introduce one such problem, and discuss the implementation of two parallel algorithms applied to the linear approximations. This study will illustrate how an approximation method which has a faster rate of convergence may not necessarily produce the best solution time.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
Jacob Bear and Arnold Verruijt. Modelling Groundwater Flow and Pollution. D. Reidel Publishing Company, Dordrecht, Holland, 1987.
 
2
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Michael Celia. Introduction to Groundwater Hydrology. WSRC-SRTC Notes, November, 1992.
 
4
Michael A. Celia, Efthimios T. Bouloutas, and Rebecca L. Zarba. A General Mass-Conservative Numerical Solution for the Unsaturated Flow Equation. Water Resources Research, Vol. 26, No. 7, pp. 1483--1496, July, 1990.
 
5
 
6
Geist, Beguelin, Dongarra, Jiang, Manchek, Sunderam. PVM 3.0 User's Guide and Reference Manuel. Oak Ridge National Laboratory, February, 1993.
 
7
Peter S. Huyakorn and George F. Pinder. Computational Methods in Subsurface Flow. Academic Press, Inc., pp. 25--26, 1983.
 
8
Claes Johnson. Numerical Solutions of Partial Differential Equations by the Finite Element Method. Cambridge University Press, 1987.
 
9
Erwin Kreyszig. Advanced Engineering Mathematics. John Wiley and Sons, Inc., 1988.
 
10
Pingshan Li. Numerical Solutions for the Unsaturated Flow Equation. Masters Thesis, Dept. of Mathematics, Univ. of S. Carolina, 1992.
 
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12
George F. Pinder. Flow Through Porous Media. CML Publications, Great Britain, pp. 92--96, 1983.