RUS
ENG
Full version
JOURNALS
// Matematicheskie Trudy
// Archive
Mat. Tr.,
2015
Volume 18,
Number 2,
Pages
49–60
(Mi mt293)
This article is cited 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.
UDC:
519.6
Received:
11.02.2015
DOI:
10.17377/mattrudy.2015.18.204
Fulltext:
PDF file (187 kB)
References
Cited by
English version:
Siberian Advances in Mathematics, 2016,
26
:2,
90–98
Bibliographic databases:
©
Steklov Math. Inst. of RAS
, 2024