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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2017, Volume 20, Number 1, Pages 107–120
DOI: https://doi.org/10.15372/SJNM20170108 (Mi sjvm639) 		 
This article is cited in 10 scientific papers (total in 10 papers)

About semi-orthogonal spline-wavelets with derivatives, and the algorithm with splitting

B. M. Shumilov

Tomsk State University of Architecture and Building, pl. Solyanaya, 2, Tomsk, 634003, Russia
Full-text PDF (451 kB) Citations (10)
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DOI: https://doi.org/10.15372/SJNM20170108
Abstract: This paper deals with the use of a scalar product with derivatives for constructing semi-orthogonal spline-wavelets. The reduction of supports of such wavelets in comparison with classical semi-orthogonal wavelets is shown. For the splines of the 3rd degree, the algorithm of wavelet-transformation in the form of the solution to a three-diagonal system of the linear equations with strict diagonal prevalence has been obtained. The results of numerical experiments on the calculation of derivatives of a discretely set function are presented.
Key words: $B$-splines, wavelets, implicit decomposition relations.
Funding agency Grant number
Russian Foundation for Basic Research 16-41-700400 р_а
Received: 27.04.2016
Revised: 20.08.2016
English version:
Numerical Analysis and Applications, 2017, Volume 10, Issue 1, Pages 90–100
DOI: https://doi.org/10.1134/S1995423917010098
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: B. M. Shumilov, “About semi-orthogonal spline-wavelets with derivatives, and the algorithm with splitting”, Sib. Zh. Vychisl. Mat., 20:1 (2017), 107–120; Num. Anal. Appl., 10:1 (2017), 90–100
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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