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Zapiski Nauchnykh Seminarov POMI, 2013, Volume 419, Pages 77–110 (Mi znsl5739)  
This article is cited in 2 scientific papers (total in 2 papers)

Spline-wavelet coarsening of Courant-type approximations

Yu. K. Dem'yanovich, L. M. Romanovskiĭ

Saint Petersburg State University, Saint Petersburg, Russia
Full-text PDF (356 kB) Citations (2)
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Abstract: Spline-wavelet coarsening of Courant-type approximations (not necessarily piecewise-linear) is considered, and the wavelet decomposition of the corresponding embedded spaces is constructed. The coarsening suggested possesses the property of structure invariance and can be used for obtaining wavelet packages. The results presented are illustrated on model examples.
Key words and phrases: splines, wavelets, decomposition, calibration relations, reconstruction, triangulation coarsening.
Received: 31.10.2013
English version:
Journal of Mathematical Sciences (New York), 2014, Volume 199, Issue 4, Pages 414–431
DOI: https://doi.org/10.1007/s10958-014-1869-0
Bibliographic databases:
Document Type: Article
UDC: 519
Language: Russian
Citation: Yu. K. Dem'yanovich, L. M. Romanovskiǐ, “Spline-wavelet coarsening of Courant-type approximations”, Computational methods and algorithms. Part XXVI, Zap. Nauchn. Sem. POMI, 419, POMI, St. Petersburg, 2013, 77–110; J. Math. Sci. (N. Y.), 199:4 (2014), 414–431
Citation in format AMSBIB
\Bibitem{DemRom13}
\by Yu.~K.~Dem'yanovich, L.~M.~Romanovski{\v\i}
\paper Spline-wavelet coarsening of Courant-type approximations
\inbook Computational methods and algorithms. Part~XXVI
\serial Zap. Nauchn. Sem. POMI
\yr 2013
\vol 419
\pages 77--110
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5739}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2014
\vol 199
\issue 4
\pages 414--431
\crossref{https://doi.org/10.1007/s10958-014-1869-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84902313614}
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  • https://www.mathnet.ru/eng/znsl/v419/p77
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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