Approximation and Smoothing of Functions Based on Godunov Regularization

Approximation and Smoothing of Functions Based on Godunov Regularization Full article

Journal

Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662

Output data

Year: 2024, Volume: 64, Number: 8, Pages: 1653-1666 Pages count : 14 DOI: 10.1134/s0965542524700799

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0008

A new approach to function approximation is presented based on the ideas of S.K. Godunov on the regularization of ill-conditioned systems. The proposed method makes it possible to determine the values of functions at fine grid nodes based on data from a larger grid, while providing control over the smoothness of the resulting function. The estimates of convergence and smoothness are substantiated, and the results of computational experiments are presented illustrating the effectiveness of the proposed method.

Biberdorf E.A. , Abdisheripov K.K.
Approximation and Smoothing of Functions Based on Godunov Regularization
Computational Mathematics and Mathematical Physics. 2024. V.64. N8. P.1653-1666. DOI: 10.1134/s0965542524700799 WOS Scopus РИНЦ OpenAlex

Бибердорф Э.А. , Абдишерипов К.К.
Аппроксимация и сглаживание функции на основе регуляризации по Годунову
Журнал вычислительной математики и математической физики. 2024. Т.64. №8. С.1342-1354. DOI: 10.31857/S0044466924080017 РИНЦ OpenAlex

Submitted:	Apr 2, 2024
Accepted:	May 2, 2024
Published print:	Sep 26, 2024
Published online:	Sep 26, 2024

Web of science:	WOS:001324967400011
Scopus:	2-s2.0-85205314396
Elibrary:	69921011
OpenAlex:	W4402883544

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