Публікації

Публікації в зарубіжних виданнях

 

  1. Lytvyn, O. N. Interlineation functions (the blending function interpolation) and some its application [Теxt] / O. N. Lytvyn // Intern. Congr. Mathematics. Sect. 15: Numerical Analysis and Sci. Computing, Berlin, 1998, Aug. 18-27. Abstr. – Berlin, 1998. – P. 28.
  2. Lytvyn, O. N. Methods of a solution of boundary value problems of continuum mechanicsreducing to the system of linear (LIDE) and nonlinear (NIDE) integro-differencial equations [Теxt] / O. N. Lytvyn // Numerical modeling in continuum mechanics : proceedings of the 4th Summer Conference, Prague, 31 July-4 August, 2000. – Prague, 2001. – P. 240–249.
  3. Lytvyn, O. M. Interlineation and interflatation functions of many variables (blending function interpolation) and economical algorithms in the approximation theory [Теxt] / O. M. Lytvyn // Intern. Conf. Computational methods. ICCM2007. Singapore, December 14-15, 2004. : Abstract. – Singapoure, 2004. – Р. 173.
  4. Lytvyn, O. N. Interlineation and interflation functions of many variables (blending function interpolation) and economical algorithms in the approximation tneory [Теxt] / O. N. Lytvyn // The International Conference Of Computational Mathematics, December, 15-17, 2004. – Singapoure, 2004. – P. 1100–1109.
  5. Lytvyn, O. M. Interlinеаtion and interflatation function many variables (the blending function interpolation) and multidimensional signal processing [Теxt] / O. M. Lytvyn // Signal and image processing: Proceeding of the Second IASTED International Multi–Conference on Automation, Control, and Information Technology, (June 20 – 24, 2005). – Novosibirsk, 2005. – P. 280–285.
  6. Lytvyn, O. M. The mathematical modeling in the computer tomography with using direct Fourier method and spline-interlineation of the functions [Теxt] / O. M. Lytvyn, K. E. Babenko // Signal and image processing: proceeding of the Second IASTED International Multi – Conference on Automation, Control, and Information Technology, (June 20 – 24 2005). – Novosibirsk, 2005. – P. 268–273.
  7. Lytvyn, O. N.Reconstruction of 3D objects with use interflation of functions [Теxt] / O. N. Lytvyn, Y. I. Pershina // Signal and image processing: proceeding of the Second IASTED International Multi – Conference on Automation, Control, and Information Technology, (June 20–24, 2005). – Novosibirsk, 2005. – P. 274–279.
  8. Lytvyn, O. M. Interlineation and interflatation functions of many variables (blending function interpolation) and economical algorithms in the approximation theory. Computational methods [Теxt] / O. M. Lytvyn // Proc. 1st Inter. Conf. of Comput. Methods, Singapoure, 15-17 Dec. 2004. / editors : G. R. Liu, V. B. C. Tan, X. Han. – Singapoure: Springer, 2006. – Pd. 2. – Р. 1105–1110.
  9. Lytvyn, O. M. Interpolation, Interlineation and interflatation are future of the Computational Methods [Теxt] / O. M. Lytvyn // International Conference on Computational Methods. ICCM2007, Hiroshima, Japan, april 4-6, 2007 : abstract. – Hiroshima, 2007. – Р. 173.
  10. Operators of the interflatation of functions of 3 variables in the 3D computer tomography [Теxt] / O. N. Lytvyn, O. O. Lytvyn, V. I. Mezhuyev, K. E. Babenko, Y. I. Pershina // 5th World Congress on industrial process computer tomography : papers, Bergen, Norvey, 3-6 Sept. 2007. – P. 242–249.
  11. Construction methods of 4D mathematical models of 3D bodies on a basis of interlination, interflatation, blending approximation and wavelets. What, Where, When [Теxt] / 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. – P. 443–453.
  12. Lytvyn, O. M. A method for 3D computer tomography using blending approximation [Теxt] / O. M. Lytvyn, Y. I. Pershina // Proc. of the 5th International Symposium on Process Tomography, (25–26 August 2008), Zakopane, Poland, 2008 : Zeszyty Naukowe. Elektryka / Politechnika Lodzka. – Zakopane, 2009. – P. 177–180.
  13. Lytvyn, O. M. The decision of 3d and 4d problems of a computer tomography using interflatation functions [Теxt] / O. M. Lytvyn, Y. I. Pershina // Proc. of the IASTED International Conf. on Automation, Control, and Information Technology (ASIT 2010) (June 15 – 18 2010). – Novosibirsk, 2010. – P. 97–102.
  14. Lytvyn, O. M. Methods in the multivariate digital signal processing with using spline-interlineation [Теxt] / O. M. Lytvyn, O. P. Nechuyviter // Proc. of the IASTED International Conferences on Automation, Control, and Information Technology (ASIT 2010) (June 15–18 2010). – Novosibirsk, 2010. – P. 90–96.
  15. New method of restoration of internal structure 3D bodies by means of projections which arrive from a computer tomograph [Теxt] / O. M.Lytvyn, Y. I. Pershina, O. O. Lytvyn, S. I. Kulyk, N. A. Shumeyko // Proc. of the 6th World Congress on Industrial Process Tomography, (6–9 September 2010). – Beijing, China, 2010. – P. 429–436.
  16. Lytvyn, O. M. Some numerical aspects of calculation of optimal coordinate functions in the finite element method for an elliptic problem of 2m order [Текст] / O. M. Lytvyn, K. V. Nosov, T. A. Baranova // International Youth School of Mathematics "The Issues of Calculation Optimization (ISCOPT - 2011") : Conference Proceeding: 01/2011, Katsyveli, Crimea, Ukraine, 2011. – P. 89–90.
  17. 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. – P. 45–56.