TITLE
EFFECTIVE CUBATURE FORMULA FOR THE APPROXIMATE CALCULATION OF THE TRIPLE INTEGRAL ON THE CLASS OF DIFFERENTIABLE FUNCTIONS
AUTHOR(S)
Olesia Nechuiviter, Kyrylo Kovalchuk
ABSTRACT
The rapid development of digital technologies encourages scientists to create new or improve existing algorithms for solving technical problems. It is time to develop mathematical models with different types of input or experimental data. In particular, in the digital signal and image processing, algorithms for the approximate calculation of integrals from rapidly oscillating functions of many variables are used in the case when the input information is given by the values of the function on lines or planes. The specified results can be easily transferred to the problem of numerical integration of functions of many variables and find their application in mathematical modeling of technical processes. The purpose of this work is to present an effective cubature formula for the approximate calculation of the triple integral on the class of differentiable functions. We consider the formula as effective if it uses less function values compared to the classic algorithm.
DOI
PAGES
261-266
DOWNLOAD
https://unitechsp.tugab.bg/images/2023/6-SHP/s15_p171_v2.pdf
How to cite this article:
Olesia Nechuiviter, Kyrylo Kovalchuk, EFFECTIVE CUBATURE FORMULA FOR THE APPROXIMATE CALCULATION OF THE TRIPLE INTEGRAL ON THE CLASS OF DIFFERENTIABLE FUNCTIONS, Proceedings of International Scientific Conference “UNITECH 2023” – Gabrovo, 261-266