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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 1, Pages 29–38 (Mi zvmmf5608)  
On mesh-class-optimal methods of computing quadratures

A. P. Torokhtii

Leningrad
Full-text PDF (989 kB)
Abstract: Exact and approximate solutions are obtained for the problem of constructing an optimal method of restoring quadratures, whereby, for a fixed integrand and fixed quadrature formula, the approximation error can be minimized in the class of meshes with a given number of nodes.
Received: 27.05.1981
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 1, Pages 20–26
DOI: https://doi.org/10.1016/S0041-5553(83)80005-6
Bibliographic databases:
Document Type: Article
UDC: 519.644
MSC: Primary 65D32; Secondary 41A55, 41A63
Language: Russian
Citation: A. P. Torokhtii, “On mesh-class-optimal methods of computing quadratures”, Zh. Vychisl. Mat. Mat. Fiz., 23:1 (1983), 29–38; U.S.S.R. Comput. Math. Math. Phys., 23:1 (1983), 20–26
Citation in format AMSBIB
\Bibitem{Tor83}
\by A.~P.~Torokhtii
\paper On mesh-class-optimal methods of computing quadratures
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 1
\pages 29--38
\mathnet{http://mi.mathnet.ru/zvmmf5608}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=692739}
\zmath{https://zbmath.org/?q=an:0528.65009}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 1
\pages 20--26
\crossref{https://doi.org/10.1016/S0041-5553(83)80005-6}
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