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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 9, Pages 1673–1684 (Mi zvmmf115)  
This article is cited in 9 scientific papers (total in 9 papers)

Refined-mesh interpolation method for functions with a boundary-layer component

A. I. Zadorin

Omsk Branch of the Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, ul. Pevtsova 13, Omsk, 644099, Russia
Full-text PDF (1046 kB) Citations (9)
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Abstract: Linear and quadratic spline interpolation methods for a one-variable function with a boundary-layer component are examined. It is shown that the interpolation method for such a function leads to considerable errors when applied on a uniform mesh. The error of linear and quadratic spline interpolations on meshes that are refined in the boundary layer is estimated. Numerical results are presented.
Key words: refined-mesh interpolation methods, function with a boundary-layer component, spline interpolation of functions of one variable.
Received: 27.11.2007
Revised: 26.02.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 9, Pages 1634–1645
DOI: https://doi.org/10.1134/S0965542508090121
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. I. Zadorin, “Refined-mesh interpolation method for functions with a boundary-layer component”, Zh. Vychisl. Mat. Mat. Fiz., 48:9 (2008), 1673–1684; Comput. Math. Math. Phys., 48:9 (2008), 1634–1645
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :150
    References:58
    First page:5
     
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