Head of Department

nechuiviter

Olesia Nechuiviter (Olesya Nechuyviter)

Нечуйвітер Олеся Петрівна

Doctor of Physical and Mathematical Sciences, Professor

Education (1989-1994) Kharkiv National University, Mechanical and Mathematical faculty.
Higher degree (2006) PhD in Physical and Mathematical Sciences at Institute of Cybernetics of National Academy of Science of Ukraine, Kiev. Specialization: ”Mathematical Modeling and Computational Methods”. Thesis: “An optimal by the order of exactness qubature formulas for calculation of Fouriers coefficients of functions two variables with using spline-interlineation”, http://disser.com.ua/content/254100.html.

(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

Research interests

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.

Experience
  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
Grants and Fellowships
  • (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.
Selected Publications Under the authorship Olesia Nechuiviter published about 120 scientific works, including  5 monographs in co-authorship with the academic of the National Academy of Sciences of Ukraine, the director of the Institute of Cybernetics of the National Academy of Sciences of Ukraine Sergienko I.V., academic of the National Academy of Sciences of Ukraine Zadiraka V.K., professor Litvin O.N., scientific articles in foreign and leading professional publications of Ukraine.

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

ORCID ID: 0000-0003-2775-8471

Google Academy Profile:
https://scholar.google.com.ua/citations?user=OURFcCkAAAAJ&hl=uk
h-index: 6

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. O. N. Lytvyn, O. P. Nechuyviter, 3D Fourier Coefficients on the Class of Differentiable Functions and Spline Interflatation. Journal of Automation and Information Sciences. – 2012. – Vol. 44, № 3. – pp. 45–56.
  2. O. N. Lytvyn, O. P. Nechuiviter, Approximate Calculation of Triple Integrals of Rapidly Oscillating Functions with the Use of Interflatation. Scientific lists of the Belgorod State University, Russia. Series: Mathematics and Physics. – 2013. – №11 (154), 31. – Р. 54 – 73.
  3. O. N. Lytvyn, O. P. Nechuiviter, About the Error of Numerical Integration of Highly Oscillatory Functions of Three Variables. Scientific Lists of the Belgorod State University, Russia. Series: Mathematics and Physics. – 2013. – №19 (162), 32. – Р. 101 – 107.
  4. O. N. Lytvyn, O. P. Nechuiviter, Approximate Calculation of  Integrals of Highly Oscillatory Functions of Three Variables with the Use of Interflatation. Announcer of Moscow State Regional University, Series: Physics and Mathematics. – 2013. – № 2. – С. 3–9.
  5. 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.

         International  Poceedings:

  1. O. M. Lytvyn, Y. I. Pershina, O.P. Nechuyviter, O.O. Litvin, S.I. Kuyik Construction Methods of 4D Mathematical Models 3D Bodies on a Basis Interlineation, Interflatation, Blending Approximation and Wavelets. What Where When Multi-dimensional Advances for Industrial Process Monitoring: Poceedings of International Symposium (23-24 June 2009). – Leeds, UK. – 2009. – P. 443- 453.
  2. О.N. Lytvyn, О.P. Nechuyviter, Methods in the Multivariate Digital Signal Processing with Using Spline-interlineation. Proceeding of IASTED International Conferences on Automation, Control and Information Technology (ASIT 2010) (June 15 – 18, 2010). – Novosibirsk. – 2010. – P. 90 – 96.

                   Journals in Ukraine:

  1. О.N. Lytvyn, О.P. Nechuyviter, Formulas for an Evaluation of Fourier Coeffitients of Functions of Two Variables with using Spline-interlineation. Reports of National Academy of Science of Ukraine. – Kiev. –1998. – № 1. – P. 23-28.
  2. О.N. Lytvyn, О.P. Nechuyviter, An Optimal by the Order of Exactness Cubature Formula of Calculation of Highly Oscillatory Integrals of Functions Two Variables with using Spline-interlineation. Reports of National Academy of Science of Ukraine. – Kiev. –2006. – № 6. – P. 9-13.
  3. О.N. Lytvyn, О.P. Nechuyviter, An Optimal by the Order of Exactness Cubature Formula for Double Integrals of Highly Oscillation Functions and Spline-interlineation. Tavrichesky Messenger of Informatics and Mathematics, – Simferopol, 2008. – №2. – P. 13 – 17.
  4. О.N. Lytvyn, О.P. Nechuyviter, The Interlineation and Optimal by the Order of Exactness Cubature Formula of Calculation Integrals of Highly Oscillatory Functions. Electronics and control system. – Kiev. 2008. – №4(18). – P. 5-14.
  5. О.N. Lytvyn, О.P. Nechuiviter, About One Cubature Formula for Calculation 2D – Fourier Coefficients with the use of Interlineation. Reports of National Academy of Science of Ukraine. – Kiev. –2010. – № 3. – P. 24-29.
  6. O. N. Lytvyn, O. P. Nechuiviter, 3D – Fourier Coefficients and Interflatation of Functions. Contemporary Problems of Mathematics, Mechanics and Computing Sciences. Collection of the Reports, Kharkiv National University. – 2011. – P. 272–278.
  7. O. N. Lytvyn, O. P. Nechuiviter, Spline-interlineation and Optimal by the Order of Exactness Cubature Formulas for Calculation 2D – Fourier Coefficients for One Class of Functions. Messenger of Kharkiv National University. Series: The Mathematical Modelling. Information Technologies. Automated Systems of Management. Kharkiv. – 2011. – № 960. – С. 207–214.
  8. O. N. Lytvyn, O. P. Nechuiviter, Operators of Piece-wise Spline-interlineation and 2 D – Fourier’s Coefficients on Gelder’s Class of Functions. Messenger of Kharkiv National University. Series: The Mathematical Modelling. Information Technologies. Automated Systems of Management. Kharkiv. – 2012. – № 1015. – С. 246–254.
  9. О.N. Lytvyn, О.P. Nechuiviter, 3D – Fourier Coefficients on the Class of Differential Functions and Spline-interflatation. Reports of National Academy of Science of Ukraine. – Kiev. –2012. – № 3. – P. 45-50.
  10. О.N. Lytvyn, О.P. Nechuiviter, About One Cubature Formula for Calculation 2 D – Fourier Coefficients with the Use of Interlineation. Reports of National Academy of Science of Ukraine. – Kiev. –2012. – № 8. – P. 36-41.

                International Proceedings in Ukraine:

  1. О.P. Nechuyviter, An Optimal by the Order of Exactness Cubature Formula for Double Integrals of Highly Oscillation Functions basing on Spline-interlineation. Proceedings of International Symposium “Questions of Optimal Calculation (QОC-ХХХІІІ)”, devoted for the 50 Anniversary of creating The Institute of Cybernetics of National Academy of Science of Ukraine, Kiev, –P.91.
  2. О.P. Nechuyviter, Cubature Formula for Evaluation 2 D Fouriers Coefficients using Spline-interlineation. Proceedings of International Symposium “Questions of Optimal Calculation (QОC-ХХХV)”, Institute of Cybernetics of National Academy of Science of Ukraine, Kiev, –Т.2., P. 145-149.
  3. О.P. Nechuiviter, An Optimal by the Order of Exactness Cubature Formula for Evaluation of 3D Fouriers Coefficients with using Spline-interflatation on the Class of Differentiable Functions. Proceedings of International Youth School “Questions of Optimal Calculation (QОC – XXXVII)”, Institute of Cybernetics of National Academy of Science of Ukraine, Kiev, 2011. – P. 131-132.
  4. О.P. Nechuiviter, About the Estimation for Rounding Error of Cubature Formula of approximate calculation 2 D – Fouriers Coefficients with the use of Interlineation. Proceedings of International Conference “Questions of Optimal Calculation (QОC – ПОО-XL)”, Institute of Cybernetics of National Academy of Science of Ukraine, Kiev, 2013. – P. 186-187.
  5. О.P. Nechuiviter, Approximate Calculation of Integrals from Rapidly Oscillating Functions of Three Variables in Case of Different Informative Operators. Proceedings of International Youth School “Questions of Optimal Calculation (QОC – ПОО-XLII)”, Institute of Cybernetics of National Academy of Science of Ukraine, Kiev, 2015. – P. 29.
Attended Euro Conferences
  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.