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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2007 Volume 47, Number 6, Pages 939–943 (Mi zvmmf4591)

This article is cited in 5 papers

Spline approximation method

V. V. Gorskii

Research and Production Association of Machine Building, ul. Gagarina 33, Reutov, Moscow oblast, 143966, Russia

Abstract: A system of relations is presented for determining optimal coefficients for a set consisting of an arbitrary number of smoothly matched cubic polynomial dependences. As an example, the method is used to construct optimal approximating formulas for the viscosity of air in thermochemical equilibrium as a function of enthalpy.

Key words: optimization, approximation, interpolation, least squares method, polynomial dependence, spline.

UDC: 519.652.3

Received: 07.06.2006
Revised: 25.12.2006


 English version:
Computational Mathematics and Mathematical Physics, 2007, 47:6, 895–899

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© Steklov Math. Inst. of RAS, 2024