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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 2, Pages 211–220 (Mi zvmmf4820)  
This article is cited in 2 scientific papers (total in 2 papers)

On the approximation of the derivatives of the Hermite interpolation polynomial on a triangle

A. V. Meleshkina

Saratov State University, Astrakhanskaya ul. 83, Saratov, 410012 Russia
Full-text PDF (206 kB) Citations (2)
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Abstract: Bounds on the deviation of the directional derivatives of the Hermite polynomial in the directions of a triangle sides are obtained; it is proved that these bounds are sharp. As a consequence, bounds on the deviations of the partial derivatives up to the third order inclusive are obtained.
Key words: interpolation Hermite polynomial on a triangle, approximation of derivatives, bounds on the approximation error.
Received: 29.08.2008
Revised: 29.08.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 2, Pages 201–210
DOI: https://doi.org/10.1134/S0965542510020016
Bibliographic databases:
Document Type: Article
UDC: 519.652.2
Language: Russian
Citation: A. V. Meleshkina, “On the approximation of the derivatives of the Hermite interpolation polynomial on a triangle”, Zh. Vychisl. Mat. Mat. Fiz., 50:2 (2010), 211–220; Comput. Math. Math. Phys., 50:2 (2010), 201–210
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/zvmmf/v50/i2/p211
    • 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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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