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L. M. Yankiv-Vitkovska1, S. H. Savchuk1, V. K. Pauchok2, Ya. M. Matviichuk1, and D. I. Bodnar2
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DOI:10.17265/2332-8223/2016.01.005
1. Lviv Polytechnic National University 2. Ternopil National Economic University
Ionosphere, ionospheric parameters, GNSS-measurements, interpolation, regularized approximation, Spline approximation.
[1] Kalman, R. E., Falb, P. L., and Arbib, M. A. 1969. Topics in Mathematical System Theory. McGraw-Hill, New York.
[2] Zadeh, L., and Dezoer, I. 1963. Linear System Theory: The State Space Approach, McGraw-Hill, NY.
[3] Vladimirov, V. S. 1981. Equations of Mathematical Physics. V. S. Vladimirov, Moscow: Nauka, p. 512.
[4] Vasyliev, V. V., and Symak, L. A. 2008. “Fractional Calculus and Approximation Methods in the Modeling of Dynamic Systems”. Scientific Publication, V. V. Vasyliev, L. A. Symak, Kyiv, The National Academy of Sciences of Ukraine, p. 256.
[5] Tikhonov, A. N., and Arsenin, V. Y. 1979. Solutions of Ill-Posed Problems. Moscow: Nauka, p. 288.
[6] Matviichuk, Y. M. 2000. Mathematical Macro-Modeling of Dynamic Systems: Theory and Practice. Lviv: Publishing House of Ivan Franko National University of Lviv, p. 215.
[7] Matviichuk, Y. M., Kurhanevych, A., Olyva, O., Pauchok, V. 2000. “Prognostic Modeling of Dynamic Systems (Macro-Model Approach)”. In: Automatics 2000: International Conference, Lviv, September 11-15, 2000, Vol. 7, pp. 82-87, 232.
[8] Yankiv-Vitkovska, L. M., Matviichuk, Y. M., Savchuk, S. H., and Pauchok, V. K. 2012. “The Research of Changes of GNNS Stations Coordinates by the Method of Macromodelin.” Geodesy and Cartography Bulletin 1 (78): 9-17.
[9] Verlan, A. F., and Fedorchuk, V. A. 2013. Models of the Dynamics of Electromechanical Systems. The National Academy of Sciences of Ukraine, Pukhov Institute for Modeling in Energy Engineering. Kyiv: Naukova Dumka, p. 222.
[10] Malachivskyy, P. S. 2009. “Mathematical Modeling of Functional Relationships between Physical Quantities Using Continuous and Smooth Minimax Spline Approximations”. The thesis is presented for Dr. Tech. Sci. of the 01.05.02 specialty “Mathematical modeling and computing methods”. Lviv Polyteсhniс National University, Lviv.
[11] Malachkivskyi, P. S. 2013. Continuous and Smooth Minimax Spline Approximation. Ukraine, Glushkov Institute of Cybernetics; Mathematical Modeling Center of the Pidstryhach Institute for Applied Problems of Mechanics and Mathematics. Kyiv: Naukova Dumka, p. 271.