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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 2, Pages 211–220
(Mi zvmmf4820)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/zvmmf4820 https://www.mathnet.ru/eng/zvmmf/v50/i2/p211
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Abstract page: | 511 | Full-text PDF : | 187 | References: | 53 | First page: | 4 |
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