Cybernetics And Systems Analysis logo
Editorial Board Announcements Abstracts Authors archive
Cybernetics And Systems Analysis
International Theoretical Science Journal
UDC 519.622; 517.5
V.I. Bilenko,1 K.V. Bozhonok,2 S.Yu. Dzyadyk,3 O.B. Stelya,4

PIECEWISE POLYNOMIAL ALGORITHMS FOR ANALYSIS OF PROCESSES
IN INHOMOGENEOUS MEDIUM

Abstract. The authors propose, theoretically substantiate, and programmatically implemented high-precision numerical-analytical algorithms for approximation of problems solutions in inhomogeneous media on the basis of linear polynomial operators.

Keywords: piecewise polynomial approximation, inhomogeneous medium, unsaturation, best approximation, algebraic-nonlinear equations, optimal algorithms, computational optimization, parabolic splines of special kind.



FULL TEXT

1 National Pedagogical Dragomanov University, Kyiv, Ukraine,
e-mail: v.i.bilenko@npu.edu.ua.

2 National Pedagogical Dragomanov University, Kyiv, Ukraine,
e-mail: katboz2014@gmail.com.

3 State University of Telecommunications, Kyiv, Ukraine.

4 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine,
e-mail: oleg.stelya@gmail.com.

© 2018 Kibernetika.org. All rights reserved.