Title | ||
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Cellular Computing and Least Squares for Partial Differential Problems Parallel Solving. |
Abstract | ||
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This paper shows how partial differential problems can be numerically solved on a parallel cellular architecture through a completely automated procedure. This procedure leads from a discrete differential problem to a Cellular Algorithm that efficiently runs on parallel distributed memory architectures. This completely automated procedure is based on a adaptation of the Least Square Finite Elements Method that allows local only computations in a discrete mesh. These local computations are automatically derived from the discrete differential problem through formal computing and lead automatically to a Cellular Algorithm which is efficiently coded for parallel execution on a dedicated distributed interactive platform. |
Year | Venue | Keywords |
---|---|---|
2014 | JOURNAL OF CELLULAR AUTOMATA | Partial differential equations,cellular automata,distributed memory,parallel architectures,LSFEM,finite elements |
Field | DocType | Volume |
Cellular computing,Least squares,Topology,Computer science,Algorithm,Finite element method,Theoretical computer science,Partial derivative,Non-linear iterative partial least squares,Cellular neural network | Journal | 9 |
Issue | ISSN | Citations |
1 | 1557-5969 | 0 |
PageRank | References | Authors |
0.34 | 4 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nicolas Fressengeas | 1 | 0 | 1.35 |
Hervé Frezza-Buet | 2 | 80 | 10.20 |