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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2010, Volume 13, Number 4, Pages 439–450 (Mi sjvm418)  
An analog to Gaussian quadrature implemented on a specific trigonometric basis

V. V. Smelov, A. S. Popov

Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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Abstract: A new quadrature formula based on a nonstandard basis of trigonometric functions is constructed. The quadrature is comparable in accuracy to the Gauss quadrature formula and is used with the same class of functions. However, this quadrature has nothing to do with the quadrature for periodic functions, which is also based on trigonometric functions.
Key words: quadrature formula, weight function, nodes and coefficients of a quadrature, approximation.
Received: 10.11.2009
Revised: 27.11.2009
English version:
Numerical Analysis and Applications, 2010, Volume 3, Issue 4, Pages 357–366
DOI: https://doi.org/10.1134/S1995423910040075
Bibliographic databases:
Document Type: Article
UDC: 519.644
Language: Russian
Citation: V. V. Smelov, A. S. Popov, “An analog to Gaussian quadrature implemented on a specific trigonometric basis”, Sib. Zh. Vychisl. Mat., 13:4 (2010), 439–450; Num. Anal. Appl., 3:4 (2010), 357–366
Citation in format AMSBIB
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\by V.~V.~Smelov, A.~S.~Popov
\paper An analog to Gaussian quadrature implemented on a~specific trigonometric basis
\jour Sib. Zh. Vychisl. Mat.
\yr 2010
\vol 13
\issue 4
\pages 439--450
\mathnet{http://mi.mathnet.ru/sjvm418}
\transl
\jour Num. Anal. Appl.
\yr 2010
\vol 3
\issue 4
\pages 357--366
\crossref{https://doi.org/10.1134/S1995423910040075}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-78650343746}
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