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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 2, Pages 206–211 (Mi zvmmf177)  
This article is cited in 5 scientific papers (total in 5 papers)

On a theorem in spline theory

Yu. V. Kupriyanova

Faculty of Mathematics, Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia
Full-text PDF (598 kB) Citations (5)
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Abstract: A Hermite spline of third degree is constructed on a three-dimensional simplex. The deviation of its directional derivatives up to the third order is estimated in angle-free terms. The resulting estimates hold for any tetrahedron irrespective of its geometry.
Key words: Hermite spline, cubic element, tetrahedral Hermite polynomials, finite elements.
Received: 12.07.2006
Revised: 06.08.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 2, Pages 195–200
DOI: https://doi.org/10.1007/s11470-008-2003-5
Bibliographic databases:
Document Type: Article
UDC: 519.652.3
Language: Russian
Citation: Yu. V. Kupriyanova, “On a theorem in spline theory”, Zh. Vychisl. Mat. Mat. Fiz., 48:2 (2008), 206–211; Comput. Math. Math. Phys., 48:2 (2008), 195–200
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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