Registration Number
0221U101868,
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
26-01-2021
Organization
V.M. Glushkov Institute of Cybernetics of National Academy of Sciences of Ukraine
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The implementation of the theme continued work of its performers to create a general theory of optimal algorithms. Having the results of calculating various integrals of fast-oscillating functions (FOF), the performers aim to create a theory of integration of FOF with a given quality (in particular, with the highest quality). The report presents the optimal accuracy and (or) speed methods of numerical integration of different types of FOF, estimates of total errors are obtained for some of them, the case of approximate input information is investigated, information technologies of measurement, primary processing of information about subintegral function, formation of protected information packets and its transmission over wireless communication lines are offered. The obtained results make it possible to reasonably choose and efficiently use the computational reserves to calculate the epsilon values of the integrals from the FOF.
Product Description
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Kondratenko Olga S.
Kochubinskyi Anatoliy I.
Koshkina Nataliia V.
Luts Vasyl K.
Luts Liliya V.
Nikitina Ol'ga Yu.
Savchuk Mykhailo M.
Fal Oleksiy M.
Khom'yak Ol'ga M.
Shatalov Oleksandr S.
Shvidchenko Inna V.
Shevchuk Bohdan M.
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2021-01-26