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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 11, Pages 1817–1828
DOI: https://doi.org/10.7868/S0044466914110039 (Mi zvmmf10115) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Parametrized tiling: Accurate approximations and analysis of global dependences

S. V. Bakhanovich, P. I. Sobolevskii

Institute of Mathematics, National Academy of Sciences, ul. Surganova 11, Minsk, 220072, Belarus
Full-text PDF (624 kB) Citations (2)
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DOI: https://doi.org/10.7868/S0044466914110039
Abstract: Aspects of parametrized tiling as applied to algorithms whose computational domain can be represented as a convex polyhedron are studied. A method for constructing approximations to a set of tiles is developed, and necessary and sufficient conditions for their accuracy are stated. Formulas for determining intertile vectors are derived. A formal representation of iteration sets generating such vectors is obtained in the form of polyhedra with explicitly expressed boundaries.
Key words: tiling, tile, distributed memory computer system, optimization, convex polyhedron.
Received: 24.12.2013
Revised: 03.03.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 11, Pages 1748–1758
DOI: https://doi.org/10.1134/S0965542514110037
Bibliographic databases:
Document Type: Article
UDC: 519.671
Language: Russian
Citation: S. V. Bakhanovich, P. I. Sobolevskii, “Parametrized tiling: Accurate approximations and analysis of global dependences”, Zh. Vychisl. Mat. Mat. Fiz., 54:11 (2014), 1817–1828; Comput. Math. Math. Phys., 54:11 (2014), 1748–1758
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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