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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 2, Pages 221–233 (Mi zvmmf4821)  
This article is cited in 26 scientific papers (total in 26 papers)

Spline interpolation on a uniform grid for a function with a boundary layer component

A. I. Zadorina, N. A. Zadorinb

a Omsk Branch of the Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099 Russia
b Omsk State University, pr. Mira 55a, Omsk, 644077 Russia
Full-text PDF (240 kB) Citations (26)
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Abstract: Spline interpolation of functions of one variable with a boundary-layer component is examined. Functions of this type can arise in the solution of a singularly perturbed boundary value problem on an interval. Spline interpolation formulas that are exact for the boundary-layer component are constructed, and their errors are estimated. Formulas for calculating the derivative based on the constructed interpolants are obtained. Numerical results are presented.
Key words: interpolation of functions of one variable with a boundary-layer component, spline interpolation, large gradients, interpolation error estimate, singularly perturbed boundary value problem.
Received: 24.06.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 2, Pages 211–223
DOI: https://doi.org/10.1134/S0965542510020028
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. I. Zadorin, N. A. Zadorin, “Spline interpolation on a uniform grid for a function with a boundary layer component”, Zh. Vychisl. Mat. Mat. Fiz., 50:2 (2010), 221–233; Comput. Math. Math. Phys., 50:2 (2010), 211–223
Citation in format AMSBIB
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    • This publication is cited in the following 26 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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