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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2013, Volume 13, Issue 1, Pages 76–90 (Mi vngu132)  
Numerical methods of interpolation for the solution of some problems of the convex geometry in Lobachevsky's space

M. V. Kurkinaa, E. D. Rodionovb, V. V. Slavskya

a Yugra State University, Khanty-Mansiysk, Russia
b Altai State University, Barnaul, Russia
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Abstract: Convex surfaces in Lobachevsky's space correspond to conformally flat metrics of the bounded curvature. Convex polyhedrons are the most important convex sets in the practical relation. In this paper the corresponding conformally flat metrics are studied, and numerical algorithms for the construction of such metrics are considered in details.
Keywords: conformally flat metrics, interpolation, convex polyhedrons in Lobachevsky's space.
Received: 15.04.2012
English version:
Journal of Mathematical Sciences, 2014, Volume 203, Issue 4, Pages 516–526
DOI: https://doi.org/10.1007/s10958-014-2155-x
Document Type: Article
UDC: 514.765.2+519.65
Language: Russian
Citation: M. V. Kurkina, E. D. Rodionov, V. V. Slavsky, “Numerical methods of interpolation for the solution of some problems of the convex geometry in Lobachevsky's space”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 13:1 (2013), 76–90; J. Math. Sci., 203:4 (2014), 516–526
Citation in format AMSBIB
\Bibitem{KurRodSla13}
\by M.~V.~Kurkina, E.~D.~Rodionov, V.~V.~Slavsky
\paper Numerical methods of interpolation for the solution of some problems of the convex geometry in Lobachevsky's space
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2013
\vol 13
\issue 1
\pages 76--90
\mathnet{http://mi.mathnet.ru/vngu132}
\transl
\jour J. Math. Sci.
\yr 2014
\vol 203
\issue 4
\pages 516--526
\crossref{https://doi.org/10.1007/s10958-014-2155-x}
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    		Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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