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Russian Mathematical Surveys, 1970, Volume 25, Issue 4, Pages 157–166
DOI: https://doi.org/10.1070/RM1970v025n04ABEH001263 (Mi rm5379) 		 
The cubayure formulae of L. A. Lyusternik

A. N. Ivanova
English version PDF (394 kB) (1)
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DOI: https://doi.org/10.1070/RM1970v025n04ABEH001263
Abstract: In this paper a short survey is given of the work of L. A. Lyusternik on cubature formulae, which are many-dimensional generalizations of the standard quadrature formulae of Gauss for an interval.
A general method is developed for constructing such formulae; a number of specific formulae are given and certain applications are made to the solution of partial differential equations.
Received: 28.12.1969
Russian version:
Uspekhi Matematicheskikh Nauk, 1970, Volume 25, Issue 4(154), Pages 157–165
Bibliographic databases:
Document Type: Article
UDC: 517.392
MSC: 65D32, 12D10, 65D30, 65D25, 65Nxx
Language: English
Original paper language: Russian
Citation: A. N. Ivanova, “The cubayure formulae of L. A. Lyusternik”, Uspekhi Mat. Nauk, 25:4(154) (1970), 157–165; Russian Math. Surveys, 25:4 (1970), 157–166
Citation in format AMSBIB
\Bibitem{Iva70}
\by A.~N.~Ivanova
\paper The cubayure formulae of L.\,A.~Lyusternik
\jour Uspekhi Mat. Nauk
\yr 1970
\vol 25
\issue 4(154)
\pages 157--165
\mathnet{http://mi.mathnet.ru/rm5379}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=277128}
\zmath{https://zbmath.org/?q=an:0199.11702|0222.41018}
\transl
\jour Russian Math. Surveys
\yr 1970
\vol 25
\issue 4
\pages 157--166
\crossref{https://doi.org/10.1070/RM1970v025n04ABEH001263}
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  • https://www.mathnet.ru/eng/rm/v25/i4/p157
    • This publication is cited in the following 1 articles:
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    		Успехи математических наук Russian Mathematical Surveys
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    Russian version PDF:284
    English version PDF:38
    References:53
    First page:1
     
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