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Matematicheskoe modelirovanie, 1994, Volume 6, Number 4, Pages 77–114 (Mi mm1860)  
This article is cited in 5 scientific papers (total in 5 papers)

Computational methods and algorithms

Natural interpolate splines

N. N. Kalitkin, L. V. Kuzmina

Institute for Mathematical Modelling, Russian Academy of Sciences
Full-text PDF (3744 kB) Citations (5)
Abstract: A new principle is proposed for interpolative splines construction when boundary conditions are not given. A simple algorithm for parabolic and cubic splines is found for free parameters calculation. Numerical examples are presented; they testify that the spline accuracy corresponds to theoretical predictions. Some recommendations are given for practical calculations.
Received: 17.02.1994
Bibliographic databases:
Language: Russian
Citation: N. N. Kalitkin, L. V. Kuzmina, “Natural interpolate splines”, Mat. Model., 6:4 (1994), 77–114
Citation in format AMSBIB
\Bibitem{KalKuz94}
\by N.~N.~Kalitkin, L.~V.~Kuzmina
\paper Natural interpolate splines
\jour Mat. Model.
\yr 1994
\vol 6
\issue 4
\pages 77--114
\mathnet{http://mi.mathnet.ru/mm1860}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1308425}
\zmath{https://zbmath.org/?q=an:0991.65510}
Linking options:
  • https://www.mathnet.ru/eng/mm1860
  • https://www.mathnet.ru/eng/mm/v6/i4/p77
    • This publication is cited in the following 5 articles:
    1. Chudinov A.V., Gao W., Huang Zh., Cai W., Zhou Zh., Raznikov V.V., Kozlovski V.I., Sulimenkov I.V., “Interpolational and smoothing cubic spline for mass spectrometry data analysis”, Int. J. Mass Spectrom., 396 (2016), 42–47  crossref  isi  elib  scopus
    2. E. A. Alshina, E. S. Ivanchenko, N. N. Kalitkin, V. F. Tishkin, “High-precision invariant on rotation parameterization of curves”, Math. Models Comput. Simul., 1:1 (2009), 11–20  mathnet  crossref  mathscinet  zmath
    3. E. N. Aristova, D. F. Baidin, V. Ya. Goldin, “Dva varianta ekonomichnogo metoda resheniya uravneniya perenosa v $r-z$-geometrii na osnove perekhoda k peremennym Vladimirova”, Matem. modelirovanie, 18:7 (2006), 43–52  mathnet  zmath
    4. N. N. Kalitkin, N. M. Shlyakhov, “Interpolyatsiya $B$-splainami”, Matem. modelirovanie, 14:4 (2002), 109–120  mathnet  mathscinet  zmath
    5. Kalitkin, NN, “Natural interpolation by B-splines”, Doklady Mathematics, 62:2 (2000), 194  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математическое моделирование
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