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Preprints of the Keldysh Institute of Applied Mathematics, 2020, 075, 24 pp.
DOI: https://doi.org/10.20948/prepr-2020-75 (Mi ipmp2866) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Improved error estimates for an exponentially convergent quadratures

A. A. Belov, N. N. Kalitkin, V. S. Khokhlachev
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DOI: https://doi.org/10.20948/prepr-2020-75
Abstract: Physicists often need to calculate integrals numerically, and with high accuracy. In recent years, it has been shown that for some practically important classes of functions, it is possible to dramatically increase the accuracy and reduce the complexity of quadratures. The paper describes the corresponding mathematical apparatus with the latest improvements, which reduce the complexity of calculations by hundreds of times or more. Examples of physical problems to which it is well applicable are given.
Keywords: quadrature, trapezoidal rule, exponential convergence.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00175
Document Type: Preprint
UDC: 519.6
Language: Russian
Citation: A. A. Belov, N. N. Kalitkin, V. S. Khokhlachev, “Improved error estimates for an exponentially convergent quadratures”, Keldysh Institute preprints, 2020, 075, 24 pp.
Citation in format AMSBIB
\Bibitem{BelKalKho20}
\by A.~A.~Belov, N.~N.~Kalitkin, V.~S.~Khokhlachev
\paper Improved error estimates for an exponentially convergent quadratures
\jour Keldysh Institute preprints
\yr 2020
\papernumber 075
\totalpages 24
\mathnet{http://mi.mathnet.ru/ipmp2866}
\crossref{https://doi.org/10.20948/prepr-2020-75}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Препринты Института прикладной математики им. М. В. Келдыша РАН
     
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