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This article is cited in 3 scientific papers (total in 3 papers)
Minimal cubature formulas of degree $3$ for a torus in ${\mathbb R}^3$
M. V. Noskov, I. M. Fedotova Institute of Cosmic and Information Technologies, Krasnoyarsk, Russia
Abstract:
We construct minimal cubature formulas of degree 3 for a torus in ${\mathbb R}^3$. The cases of a degenerate torus with radius $r=1$ and a torus with arbitrary radius $r>1$ are considered separately.
Key words:
cubature formula, torus, reproducing kernel.
Received: 11.02.2015
Citation:
M. V. Noskov, I. M. Fedotova, “Minimal cubature formulas of degree $3$ for a torus in ${\mathbb R}^3$”, Mat. Tr., 18:2 (2015), 49–60; Siberian Adv. Math., 26:2 (2016), 90–98
Linking options:
https://www.mathnet.ru/eng/mt293 https://www.mathnet.ru/eng/mt/v18/i2/p49
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Abstract page: | 247 | Full-text PDF : | 87 | References: | 48 | First page: | 4 |
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