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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2012, Volume 9, Pages 445–455 (Mi semr376)  
This article is cited in 17 scientific papers (total in 17 papers)

Real, complex and functional analysis

Interpolation formula for functions with a boundary layer component and its application to derivatives calculation

A. I. Zadorin, N. A. Zadorin

Omsk department of Sobolev Mathematics Institute SB RAS, Pevtsova 13, 644099, Omsk, Russia
Full-text PDF (448 kB) Citations (17)
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Abstract: An interpolation formula for a function of one variable with a boundary layer component is constructed. Such function corresponds to the solution of a singular perturbed problem. The estimate of an accuracy is obtained. On a base of the constructed interpolation formula the difference formulas for derivatives of the function with a boundary layer component are obtained. Numerical resultes are discussed.
Keywords: function, boundary layer, nonpolynomial interpolation, difference formula for a derivative, accuracy estimation.
Received April 9, 2012, published October 17, 2012
Document Type: Article
UDC: 519.65
MSC: 65D05, 65D25
Language: English
Citation: A. I. Zadorin, N. A. Zadorin, “Interpolation formula for functions with a boundary layer component and its application to derivatives calculation”, Sib. Èlektron. Mat. Izv., 9 (2012), 445–455
Citation in format AMSBIB
\Bibitem{ZadZad12}
\by A.~I.~Zadorin, N.~A.~Zadorin
\paper Interpolation formula for functions with a boundary layer component and its application to derivatives calculation
\jour Sib. \`Elektron. Mat. Izv.
\yr 2012
\vol 9
\pages 445--455
\mathnet{http://mi.mathnet.ru/semr376}
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    • This publication is cited in the following 17 articles:
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