Issue |
E3S Web of Conf.
Volume 508, 2024
International Conference on Green Energy: Intelligent Transport Systems - Clean Energy Transitions (GreenEnergy 2023)
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Article Number | 04016 | |
Number of page(s) | 11 | |
Section | Mathematical Physics and Mathematics | |
DOI | https://doi.org/10.1051/e3sconf/202450804016 | |
Published online | 05 April 2024 |
Optimal cubature formulas for approximate integrals of functions defined on a sphere in three-dimensional space
Ferghana Branch of Tashkent University of Information Technology, Fergana, Uzbekistan
* Corresponding author: b.bozarov@mail.ru
The development of effective methods of approximate calculation of integrals using optimal cubature formulas and optimal quadrature formulas with trigonometric weights for defined functions on a sphere, the creation of new algorithms for approximate calculation of trigonometric weighted integrals in different classes of functions, as well as the assessment of their errors, is the goal of this work.
Key words: cubature formulas / quadrature formulas / error functional / error functional norm / optimal coefficients
© The Authors, published by EDP Sciences, 2024
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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