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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 2, Pages 49–55
(Mi ivm8774)
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Weighted spherical semidesigns and cubature formulae for calculating integrals on a sphere
N. O. Kotelina, A. B. Pevnyi Chair of Applied Mathematics, Syktyvkar State University, Syktyvkar, Russia
Abstract:
In this paper we study weighted spherical semidesigns, i.e., systems of points on a sphere of a specific type. We propose a new proof of the necessary and sufficient condition for a system of points on a sphere to be a weighted spherical semidesign. This criterion gives new approaches to the construction of cubature formulae for calculating integrals over a sphere with the degree of accuracy of 5 and 9.
Keywords:
weighed spherical semidesign, cubature formula.
Received: 16.01.2012
Citation:
N. O. Kotelina, A. B. Pevnyi, “Weighted spherical semidesigns and cubature formulae for calculating integrals on a sphere”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 2, 49–55; Russian Math. (Iz. VUZ), 57:2 (2013), 42–47
Linking options:
https://www.mathnet.ru/eng/ivm8774 https://www.mathnet.ru/eng/ivm/y2013/i2/p49
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Statistics & downloads: |
Abstract page: | 174 | Full-text PDF : | 35 | References: | 25 | First page: | 4 |
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