Mathematical Model Reduction Principle and it’s applications

Authors

  • Yaroslav Matviychuk д.т.н., проф., Національний університет «Львівська політехніка»

Keywords:

математична модель, редукція, ідентифікація, некоректність, нейронна мережа, зви- чайні диференціальні рівняння

Abstract

The detection and elimination principle of redundant elements in the mathematical model is proposed in this paper. The efficiency of the proposed approach has been analyzed based on the neural network model of economic system and differential equations models of different nature.

References

A.N.Tikhonov and V.Y.Arsenin, Solutions of Ill-Posed Problems, New York, USA: Wiley, 1977.

Y.M,Matviychuk. Mathematical modeling of dynamical systems (in ukr.) Lviv 2000 215p. http://ena.lp.edu.ua:8080/handle/ntb/22710

Yaroslav Matviychuk, Olga Karchevska, Increasing the Correctness of Mathematical Models by Novel Reduction Principle, Proceeding of the 16th International Conference on Computational Problems of Electrical Engineering, Lviv, Ukraine, September 2-5, 2015 http://ieeexplore.ieee.org/document/7333351/

Matviychuk Y., Pauchok V. Currency rate forecasting using macromodeling (in ukr.) // Bankivs’ka sprava, № 5-6, 2004. P.73-78.

Matviychuk Y.M., Pauchok V.C. Macromodels of geo-heliogenic quantities identified by experimental data (in ukr.) // Modelirovanie-2008. Transactions. Kyiv, 14-16.05.2008. – Vol.1. – P. 114-118

Published

2023-06-26

How to Cite

Matviychuk, Y. (2023). Mathematical Model Reduction Principle and it’s applications. PHYSICO-MATHEMATICAL MODELLING AND INFORMATIONAL TECHNOLOGIES, (37), 17–21. Retrieved from https://fmmit.lviv.ua/index.php/fmmit/article/view/297