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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2015, Volume 18, Number 4, Pages 453–467
DOI: https://doi.org/10.15372/SJNM20150409 (Mi sjvm595) 		 
This article is cited in 6 scientific papers (total in 6 papers)

A splitting algorithm for wavelet transforms of the Hermite splines of the seventh degree

B. M. Shumilov

Tomsk State University of Architecture and Building, 2 Solyanaya sq., Tomsk, 634003, Russia
Full-text PDF (575 kB) Citations (6)
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DOI: https://doi.org/10.15372/SJNM20150409
Abstract: In this paper, an implicit method of decomposition of $7$-th degree Hermite splines to a series of “lazy” wavelets with displaced supports is investigated. A splitting algorithm for wavelet transforms of solving four five-diagonal systems of linear equations with a strict diagonal dominance in parallel is justified. Results of numerical experiments on exactness for polynomials and on compression of spline-wavelet decomposition are presented.
Key words: Hermite splines, “lazy” wavelets, implicit relations of decomposition, parallelization.
Received: 17.01.2015
Revised: 07.03.2015
English version:
Numerical Analysis and Applications, 2015, Volume 8, Issue 4, Pages 365–377
DOI: https://doi.org/10.1134/S1995423915040096
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: B. M. Shumilov, “A splitting algorithm for wavelet transforms of the Hermite splines of the seventh degree”, Sib. Zh. Vychisl. Mat., 18:4 (2015), 453–467; Num. Anal. Appl., 8:4 (2015), 365–377
Citation in format AMSBIB
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\pages 453--467
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\jour Num. Anal. Appl.
\yr 2015
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Sibirskii Zhurnal Vychislitel'noi Matematiki
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