This article is cited in 4 papers

Application of integrodifferential splines to solving an interpolation problem

I. G. Burova, O. V. Rodnikova

Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetskaya nab. 7-9, St. Petersburg, 199034, Russia

Abstract: This paper deals with cases when the values of derivatives of a function are given at grid nodes or the values of integrals of a function over grid intervals are known. Polynomial and trigonometric integrodifferential splines for computing the value of a function from given values of its nodal derivatives and/or from its integrals over grid intervals are constructed. Error estimates are obtained, and numerical results are presented.

Key words: polynomial splines, trigonometric interpolation.

UDC: 519.632.3

Received: 03.02.2014
Revised: 23.04.2014

DOI: 10.7868/S0044466914120102

 English version: Computational Mathematics and Mathematical Physics, 2014, 54:12, 1903–1914

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