Head of Department

Olesia Nechuiviter (Olesya Nechuyviter)

Нечуйвітер Олеся Петрівна

Doctor of Physical and Mathematical Sciences, Professor

(2015) Second scientific degree – Doctor of Physical and Mathematical Science at Institute of Cybernetics of National Academy of Science of Ukraine, Kiev. Specialization:”Mathematical Simulation and Methods of Calculation”. Thesis: “Cubature formulas of the computing of integrals of highly oscillating functions of three variables using interflatation of functions”,  http://irbis-nbuv.gov.ua/cgi-bin/irbis64r_81/cgiirbis_64.exe

mathematical models, digital signal processing, integrals of highly oscillatory functions of many variables, cubature formula, interpolation, interlineation, interflatation

Researches are devoted to unification of the results in the theory of optimal algorithms, theory of interlineation and interflatation (the blending-function interpolation) of many variables functions and the theory of Fourier’s analysis. The application of interlineation and interflatation theory of many variables functions to the calculation of two or more dimensions highly oscillatory integrals allows to get effective results in the construction of cubature formulas. The main advantages of methods are high exactness of approximation, the opportunity to decrease the amount of information about function during the calculation (rapid approximation). The urgent issue is the calculation of two or more dimensions Fourier coefficients in case when information about a function is set of lines or set of planes, set of traces. The results in the theory of optimal algorithms allow to prove that our methods and our cubature formulas of the evaluating of highly oscillatory integrals are optimal by the exactness, optimal by the order of exactness and asymptotic optimal cubature formulas on the classes of differentiable functions.

1. During 1994-2007 she was working at the Department of Applied Mathematics in Ukrainian Engineering and Pedagogical Academy, Kharkiv.
2. During 2007-2016 she was working as Assistant Professor the Department of Higher and Applied Mathematics in Ukrainian Engineering and Pedagogical Academy, Kharkiv.
3. During 2016-2017 she was working on a position of Professor of the Department of Higher and Applied Mathematics in Ukrainian Engineering and Pedagogical Academy, Kharkiv.
4. Since 2017 – Head of Department of Information Computer and Polygraphy Technologies

• (2001) Grant from European Science Foundation for participation in EMS Euro Summer School “Simulation of Fluid and Structure Interaction”, Prague, Czech Republic.
• (2010) Grant from European Science Foundation for participation in ESF-EMS-ERCOM Conference on Highly Oscillatory Problems From Theory to Applications Cambridge, United Kingdom, United Kingdom.
• (2011) selected to receive support from a grant provided by the International Mathematical Union’s Commission for Developing Countries (IMU-CDC), which was matched by an equal amount form the Society of Foundations of Computational Mathematics (FoCM) for attendance FoCM’11 conference.
• (2016) Grant from Grant Committee of the 7th European Congress of Mathematics for attendance 7th European Congress of Mathematics.

Scopus Autor Profile:
https://www.scopus.com/authid/detail.uri?authorId=55210918900

Web of Science Profile:
https://publons.com/researcher/2997345/olesia-nechuiviter/publications/

ORCID Profile:
0000-0003-2775-8471

Google Academy Profile:
https://scholar.google.com.ua/citations?user=OURFcCkAAAAJ&hl=uk
h-index: 7

ResearchGate Profile:
https://www.researchgate.net/scientific-contributions/2155446438_Olesia_Nechuiviter

Monography:

1. О.N. Lytvyn, О.P. Nechuyviter, An Optimal in the Order of Exactness Cubature Formulas of Calculation of Fourier Coeffitients of Functions Two Variables with using Spline-interlineation. Monography, Kharkiv, 2009, p. 135.
2. I. V. Sergienko, V.K. Zadiraka, S.S. Melnikova, О.P. Nechuyviter, Optimal Algorithms of Calculation of Highly Oscillatory Integrals and their Applications. Monography, Tom 1. Algorithms, Kiev, 2011, p. 447.
3. I. V. Sergienko, V.K. Zadiraka, S.S. Melnikova, О.P. Nechuyviter, Optimal Algorithms of Calculation of Highly Oscillatory Integrals and their Applications. Monography, Tom 2. Applications, Kiev, 2011, p. 348.

International  Journals:

1. Construction methods of 4 D – mathematical models of 3 D – bodies on a basis of interlination, interflatation, blending approximation and wavelets. What, Where, When / O. M. Lytvyn, Y. I. Pershina, O. P. Nechuyviter [et al.] // Multi-dimensional Advances for Industrial Process Monitoring: proceedings of International Symposium, 23-24 June 2009. – Leeds, 2009. – pp. 443–453.
2. Lytvyn O. N. Methods in the Multivariate Digital Signal Processing with Using Spline-interlineation / O. N. Lytvyn, O. P. Nechuyviter // Proceeding of IASTED International Conferences on Automation, Control and Information Technology (ASIT 2010) (June 15 – 18 2010). – Novosibirsk. – 2010. – pp. 90 – 96. (Scopus)
3. Lytvyn, O. N. 3D Fourier Coefficients on the Class of Differentiable Functions and Spline Interflatation [Теxt] / O. N. Lytvyn, O. P. Nechuyviter // Journal of Automation and Information Sciences. – 2012. – Vol. 44, № 3. – pp. 45–56. (Web of Science)
4. O.N. Lytvyn, O. P. Nechuiviter, Approximate Calculation of Triple Integrals of Rapidly Oscillating Functions with the Use of Lagrange Polynomial Interflatation. Cybernetics and Systems Analysis. – 2014. – Vol. 50, № 3. – pp. 410–418. (Scopus, Web of Science)
5. Nechuiviter O. Approximate Calculation of Triple Integrals of Rapidly Oscillating Functions with the Use of Different Type of Information about Function. Technische Universität Berlin. Book of Abstracts: 7th European Congress of Mathematics July 18-22, 2016, Technische Universität Berlin. – 2016. –pp. 703.
6. Vitaliy Mezhuyev, Muamer N. Mohammed, MohdArfian Bin Ismail, Mohamad Fadli Zolkipli, Oleg M. Lytvyn, Оleg О. Lytvyn, Olesia Nechuiviter, Yulia Pershyna, Development of GPU-based Visual Environment for Metamaterials Design // Advance Science Letters. – Vol. 24, Iss. 10.– 2018. – pp. 7269-7272. (Web of Science)
7. Vitaliy Mezhuyev, Olesia Nechuiviter, Yulia Pershyna, Kateryna Keita, Oleg M. Lytvyn, Oleg O. Lytvyn, Cubature formula for approximate calculation of integrals of two-dimensional irregular highly oscillating functions / U.P.B. Sci. Bull., Series A.– Vol. 80, Iss. 3. – 2018. – pp.169-182. (Scopus)
8. Oleg M. Lytvyn, Olesia Nechuiviter, Yulia Pershyna, Vitaliy Mezhuyev, Input Information in the Approximate Calculation of Two-Dimensional Integral from Highly Oscillating Functions (Irregular Case) / Recent Developments in Data Science and Intelligent Analysis of Information. ICDSIAI 2018. Advances in Intelligent Systems and Computing, vol. 836. Springer, Cham. – 2018. – pp. 365-373. (Scopus)
9. V. Mezhuyev, Oleg M. Lytvyn, Iuliia Pershyna, Olesia Nechuiviter and Oleg О. Lytvyn, Algorithm for the Reconstruction of the Discontinuous Structure of a Body by Its Projections along Mutually Perpendicular Lines // Proceedings of 2018 7th International Conference on Software and Computer Applications (ICSCA 2018). – Kuantan, Malaysia. – Feb. 8-10, 2018. – pp. 158 – 163. (Scopus, Web of Science)
10. Nechuiviter O. Different Types of Information about Function in Approximate Calculation of Triple Integrals of Rapidly Oscillating Functions Proceedings of the International Congress of Mathematicians. Book of Abstracts: Augest 1-10, 2018, Rio de Janeiro. – 2018. – pp. 213.
11. Tsykhanovska І, Yevlash V., Alexandrov A., Khamitova B, Svidlo K., Nechuiviter O. Forming the Structure of Whipped Desserts When Introducing the Food Additive “Magnetofood” to Their Formulation // Eastern-European Journal of Enterprise Technologies, Vol 2, No 11 (98), – 2019, – pp. 45-55. (Scopus)
12. Mezhuyev, V.I, Lytvyn, O.M., Lytvyn, O.O., Pershyna, I.I., Nechuiviter, O.P., Khurdei, Y.L. Operators of approximation of functions f(x, y) by their projections on the system of nonparallel lines for computed tomography / International Journal of Machine Learning and Computing. Volume 9, Issue 2, 1 April 2019, – pp. 154-159. (Scopus)
13. Mezhuyev V, Lytvyn O.M., Pershyna I., Nechuiviter O, Lytvyn O.O., Lavrik V., Kovalska O., Gunchenko Y. Acceptance of the methods of decision-making: A case study from software development companies in Ukraine and Malaysia // Proceedings of 2019 8th International Conference on Software and Computer Applications (ICSCA 2019). – Penang, Malaysia. – Feb. 19-21, 2019. – pp. 199 – 204. (Scopus)
14. O. M. Lytvyn, I. Pershyna, O. Nechuiviter and O. O. Lytvyn, “Restoration of Discontinuous Functions by Interpolation Data Using Rectangular Elements,” 2019 9th International Conference on Advanced Computer Information Technologies (ACIT), Ceske Budejovice, Czech Republic, 2019, pp. 40-43. (Scopus)
15. V. Mezhuyev, O. M. Lytvyn, I. Pershyna, O. Nechuiviter, Approximation of discontinuous functions of two variables by discontinuous interlination splines using triangular elements // Journal of the Serbian Society for Computational Mechanics. – 2020. – Vol. 14, № 1. – pp. 75–89. (Web of Science)
16. O. M. Lytvyn, G. Zaluzhna, I. Nefodova, I. Pershyna and O. Nechuiviter, “General Method for Constructing of the Exact Solution of the Problem for Non-Stationary Heat Conductivity Equation in the Complex Field,” 2020 10th International Conference on Advanced Computer Information Technologies (ACIT), Deggendorf, Germany, 2020, pp. 144-147. (Scopus, Web of Science)
17. O. P. Nechuiviter, Сubature formula for approximate calculation integral of highly oscillating function of tree variables (irregular case) // Radio Electronics, Computer Science, Control. – 2020. – № 4. – pp. 65–73. (Web of Science)
18. O. P. Nechuiviter, Application of the theory of new information operators in conducting research in the field of information technologies // Information Technologies and Learning Tools. – 2021. – No. 2 (82), pp. 282–296. (Web of Science)
19. O. P. Nechuiviter, O. V. Iarmosh, K. H. Kovalchuk, Numerical calculation of multidimensional integrals depended on input information about the function in mathematical modelling of technical and economic processes / IOP Conf. Series: Materials Science and Engineering. International Conference on Technics, Technologies and Education 2020 (ICTTE 2020) 4th-6th November 2020, Yambol, Bulgaria, 2021. – Vol. 1031 012059. (Scopus)
20. R. Trishch, O. Nechuiviter, K. Dyadyura, O. Vasilevskyi, I. Tsykhanovska // Qualimetric method of assessing risks of low quality products // MM Science Journalthis link is disabled, 2021, 2021-October, pp. 4769–4774. (Scopus)

1. EMS Euro Summer School “Simulation of Fluid and Structure Interaction”, Prague, Czech Republic, 19 – 29 August, 2001;
2. ESF-EMS-ERCOM Conference on Highly Oscillatory Problems From Theory to Applications Cambridge, United Kingdom, United Kingdom, 12 – 17 September, 2010;
3. Foundations of Computational Mathematicsconference, Budapest, 4 – 14 July, 2011.
4. 7th European Congress of Mathematics, Berlin, 18 – 22 July, 2016.