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Registration Number

0222U002897, 0120U103277 , R & D reports

Title

Develop methods and algorithms for optimal integration of fast-oscillating functions

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Head

Zadiraka Valerii K., Доктор фізико-математичних наук

Registration Date

16-02-2022

Organization

V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine

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 The obtained results continue the work of its executors to create a general theory of optimal algorithms. Within the framework of the work the optimal methods of integration of fast-oscillating functions are developed in terms of accuracy and speed, their quality characteristics for some classes of functions of different smoothness (classical and interpolation) are determined; algorithms for calculating information operators for sub-integrated functions obtained by remote monitoring of objects; algorithms of cryptographic analysis of information resources; elements of the general theory of optimal integration of fast-oscillating functions of different types (Fourier transform, cosine, sine transform, Bessel transform, wavelet transform) are developed. The obtained results allow to increase the accuracy of calculation of integrals from fast-oscillating functions and to transfer the problem from the category of unsolvable to the category of solvable problems and can be used in solving complex problems of mathematical modeling, mathematical physics, astronomy, digital signal and image processing, applied statistics, information security, etc.

Product Description

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Hnativ Lev O.
Kolomys Olena M.
Kondratenko Olga S.
Kochubinskyi Anatoliy I.
Koshkina Nataliia V.
Luts Vasyl K.
Luts Liliya V.
Nikitina Ol'ga Yu.
Savchuk Mykhailo M.
Fal Oleksii M.
Khomiak Olha M
Shatalov Oleksandr S.
Shvidchenko Inna V.
Shevchuk Bohdan М.

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2022-03-09