Email this article Error Estimate for the Displacement Method
- Authors: Goloveshkin V.A.1,2, Solov’ev S.Y.3
-
Affiliations:
- Institute of Applied Mechanics
- MIREA—Russian Technological University
- Department of Computational Mathematics and Cybernetics
- Issue: Vol 43, No 2 (2019)
- Pages: 65-73
- Section: Article
- URL: https://journals.rcsi.science/0278-6419/article/view/176292
- DOI: https://doi.org/10.3103/S0278641919020043
- ID: 176292
Cite item
Open Access
Access granted
Subscription Access
Abstract
The problem of constructing an explicit formula for a majorant of a number sequence specified by recurrence relations is considered. Problems of this kind arise when estimating the error of recursive methods for calculating certain functions of a real variable. A special approach to studying the given recurrence relations is proposed in this work, based on which it is established that a majorant can be provided by a quite specific formula and belongs to the class of subexponential functions.
About the authors
V. A. Goloveshkin
Institute of Applied Mechanics; MIREA—Russian Technological University
Author for correspondence.
Email: nikshevolog@yandex.ru
Russian Federation, Moscow, 125040; Moscow, 119454
S. Yu. Solov’ev
Department of Computational Mathematics and Cybernetics
Author for correspondence.
Email: soloviev@glossary.ru
Russian Federation, Moscow, 119991
Supplementary files
