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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 12, Pages 1966–1978
DOI: https://doi.org/10.7868/S0044466914120102 (Mi zvmmf10127) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Application of integrodifferential splines to solving an interpolation problem

I. G. Burova, O. V. Rodnikova

Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia
Full-text PDF (354 kB) Citations (4)
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DOI: https://doi.org/10.7868/S0044466914120102
Abstract: This paper deals with cases when the values of derivatives of a function are given at grid nodes or the values of integrals of a function over grid intervals are known. Polynomial and trigonometric integrodifferential splines for computing the value of a function from given values of its nodal derivatives and/or from its integrals over grid intervals are constructed. Error estimates are obtained, and numerical results are presented.
Key words: polynomial splines, trigonometric interpolation.
Received: 03.02.2014
Revised: 23.04.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 12, Pages 1903–1914
DOI: https://doi.org/10.1134/S0965542514120094
Bibliographic databases:
Document Type: Article
UDC: 519.632.3
Language: Russian
Citation: I. G. Burova, O. V. Rodnikova, “Application of integrodifferential splines to solving an interpolation problem”, Zh. Vychisl. Mat. Mat. Fiz., 54:12 (2014), 1966–1978; Comput. Math. Math. Phys., 54:12 (2014), 1903–1914
Citation in format AMSBIB
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    • This publication is cited in the following 4 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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