Email this article ON NUMERICAL METHODS IN LOCALIZATION PROBLEMS
- Authors: Kanatnikov A.N1,2, Tkacheva O.S1
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Affiliations:
- Bauman Moscow State Technical University
- V.A. Trapeznikov Institute of Control Sciences of RAS
- Issue: Vol 60, No 11 (2024)
- Pages: 1553-1561
- Section: NUMERICAL METHODS
- URL: https://journals.rcsi.science/0374-0641/article/view/273230
- DOI: https://doi.org/10.31857/S0374064124110107
- EDN: https://elibrary.ru/JDQQEW
- ID: 273230
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Abstract
When solving localization problem numerically, the main problem is to construct a universal cross section corresponding to a given localizing function. The paper proposes two methods for solving this problem, which use estimates of the first and second order derivatives. A comparative analysis of these methods with a method based on the use of all nodes of a regular grid was carried out. A comparative analysis shows that the proposed methods are superior both in terms of computational complexity and in the quality of the resulting approximation of the universal section.
About the authors
A. N Kanatnikov
Bauman Moscow State Technical University; V.A. Trapeznikov Institute of Control Sciences of RAS
Email: skipper@bmstu.ru
Moscow, Russia
O. S Tkacheva
Bauman Moscow State Technical University
Email: tkolga17@gmail.com
Moscow, Russia
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