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Sibirskii Zhurnal Vychislitel'noi Matematiki
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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2013, Volume 16, Number 3, Pages 287–301 (Mi sjvm518)  
This article is cited in 11 scientific papers (total in 11 papers)

Cubic multiwavelets orthogonal to polynomials and a splitting algorithm

B. M. Shumilov

Tomsk State University of Architecture and Building, Tomsk
Full-text PDF (2513 kB) Citations (11)
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Abstract: In this paper, an implicit method of decomposition of hermit cubic splines using the new type multiwavelets with supercompact supports is investigated. The splitting algorithm of wavelet-transformations on the parallel solution of two three-diagonal systems of the linear equations with strict diagonal domination is reasonable. The results of numerical experiments are presented.
Key words: hermit splines, multiwavelets, implicit relations of decomposition, parallelization.
Received: 26.03.2012
Revised: 06.08.2012
English version:
Numerical Analysis and Applications, 2013, Volume 6, Issue 3, Pages 247–259
DOI: https://doi.org/10.1134/S1995423913030087
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: B. M. Shumilov, “Cubic multiwavelets orthogonal to polynomials and a splitting algorithm”, Sib. Zh. Vychisl. Mat., 16:3 (2013), 287–301; Num. Anal. Appl., 6:3 (2013), 247–259
Citation in format AMSBIB
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\by B.~M.~Shumilov
\paper Cubic multiwavelets orthogonal to polynomials and a~splitting algorithm
\jour Sib. Zh. Vychisl. Mat.
\yr 2013
\vol 16
\issue 3
\pages 287--301
\mathnet{http://mi.mathnet.ru/sjvm518}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3380129}
\transl
\jour Num. Anal. Appl.
\yr 2013
\vol 6
\issue 3
\pages 247--259
\crossref{https://doi.org/10.1134/S1995423913030087}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84884167241}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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