Open AccessNumerical calculation of multidimensional integrals depended on input information about the function in mathematical modelling of technical and economic processes
Author(s) -
Олеся Нечуйвітер,
Olena Iarmosh,
Kyrylo Kovalchuk
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1031/1/012059
Subject(s) - function (biology) , set (abstract data type) , object (grammar) , multiple integral , mathematics , set function , numerical integration , order of integration (calculus) , computer science , mathematical analysis , artificial intelligence , evolutionary biology , biology , programming language
The object of study is a numerical integration of the functions of several variables using new information operators. The cubature formulas of the approximate calculation of double and triple integrals for different information operators are presented. Information about function is given not only by the values of a function in nodes, but also as a set of traces of a function on planes or as a set of traces of a function on lines. Attention is paid to the application of such approximate calculation of integrals in various fields of science.