D. A. Silaev, J. G. Ingtem, “Semilocal smoothihg splines of seventh degree”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2010, no. 6, 104

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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2010, Issue 6, Pages 104–112 (Mi vyuru232)

This article is cited in 3 scientific papers (total in 3 papers)

Semilocal smoothihg splines of seventh degree

D. A. Silaev^a, J. G. Ingtem^b

^a M. V. Lomonosov Moscow State University
^b M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics

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Abstract: Semilocal smoothing splines or $S$-splines were initiated by D. A. Silaev. Earlier there were considers and applied the splines of third and fifth degree. This work is devoted to seventh degree splines construction. Uniqueness and existence theorems are proved. Stability and convergence conditions for these splines are established.

Keywords: an approximation, a spline, numerical methods.

Received: 24.05.2010

Document Type: Article

UDC: 519.6, 517.9

Language: Russian

Citation: D. A. Silaev, J. G. Ingtem, “Semilocal smoothihg splines of seventh degree”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2010, no. 6, 104–112

Citation in format AMSBIB

\Bibitem{SilIng10}

\by D.~A.~Silaev, J.~G.~Ingtem

\paper Semilocal smoothihg splines of seventh degree

\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.

\yr 2010

\issue 6

\pages 104--112

\mathnet{http://mi.mathnet.ru/vyuru232}

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https://www.mathnet.ru/eng/vyuru/y2010/i6/p104

This publication is cited in the following 3 articles:

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