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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 4, Pages 570–579 (Mi zvmmf149)  
This article is cited in 3 scientific papers (total in 3 papers)

Construction of hyperbolic interpolation 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 (1020 kB) Citations (3)
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Abstract: The problem of constructing a hyperbolic interpolation spline can be formulated as a differential multipoint boundary value problem. Its discretization yields a linear system with a five-diagonal matrix, which may be ill-conditioned for unequally spaced data. It is shown that this system can be split into diagonally dominant tridiagonal systems, which are solved without computing hyperbolic functions and admit effective parallelization.
Key words: shape-preserving interpolation, differential multipoint boundary value problem, grid method, discrete hyperbolic spline, parallelization of tridiagonal Gaussian elimination.
Received: 09.03.2007
Revised: 12.10.2007
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 4, Pages 539–548
DOI: https://doi.org/10.1134/S0965542508040039
Bibliographic databases:
Document Type: Article
UDC: 519.652.3
Language: Russian
Citation: B. I. Kvasov, “Construction of hyperbolic interpolation splines”, Zh. Vychisl. Mat. Mat. Fiz., 48:4 (2008), 570–579; Comput. Math. Math. Phys., 48:4 (2008), 539–548
Citation in format AMSBIB
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    • This publication is cited in the following 3 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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