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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 10, Pages 1610–1621
DOI: https://doi.org/10.7868/S0044466913100116 (Mi zvmmf9925) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Monotone and convex interpolation by weighted cubic splines

B. I. Kvasov

Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, pr. Akademika Lavrent'eva 6, Novosibirsk, 630090, Russia
Full-text PDF (425 kB) Citations (16)
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DOI: https://doi.org/10.7868/S0044466913100116
Abstract: Algorithms for interpolating by weighted cubic splines are constructed with the aim of preserving the monotonicity and convexity of the original discrete data. The analysis performed in this paper makes it possible to develop two algorithms with the automatic choice of the shape-controlling parameters (weights). One of them preserves the monotonicity of the data, while the other preserves the convexity. Certain numerical results are presented.
Key words: monotone and convex interpolation, weighted cubic splines, adaptive choice of the shape-controlling parameters.
Received: 25.03.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 10, Pages 1428–1439
DOI: https://doi.org/10.1134/S0965542513100102
Bibliographic databases:
Document Type: Article
UDC: 519.652.3
Language: Russian
Citation: B. I. Kvasov, “Monotone and convex interpolation by weighted cubic splines”, Zh. Vychisl. Mat. Mat. Fiz., 53:10 (2013), 1610–1621; Comput. Math. Math. Phys., 53:10 (2013), 1428–1439
Citation in format AMSBIB
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    • This publication is cited in the following 16 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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