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Showing papers by "Th. Monovasilis published in 2019"

Proceedings Article•DOI•
Optimized two derivative Runge-Kutta methods for solving orbital and oscillatory problems

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Th. Monovasilis, Zacharoula Kalogiratou, T. E. Simos
01 Jul 2019

1 citations

Book Chapter•DOI•
Fourth order Trigonometrically-fitted and Exponentially-fitted Symplectic Methods for the Numerical Integration of the Schrödinger Equation 1

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Th. Monovasilis, Zacharoula Kalogiratou, T. E. Simos
29 Apr 2019
Proceedings Article•DOI•
Two derivative Runge-Kutta methods of order six

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Zacharoula Kalogiratou, Th. Monovasilis, T. E. Simos
01 Jul 2019
Book Chapter•DOI•
Use of Differential Equations in Firms Behavior in an Oligopoly Market

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Th. Monovasilis1, Zacharoula Kalogiratou1, Nicholas Tsounis1, G. Bertsatos1, Soultana Moustakli1 •
University of Western Macedonia1
04 Jun 2019
TL;DR: In this paper, computational biology models of the Volterra-Lotka family, known as competing species models, are used for modeling an oligopoly market, and the equilibrium of the two companies is derived under different assumptions about sectoral demand and cost functions.
Abstract: Computational biology models of the Volterra–Lotka family, known as competing species models, are used for modeling an oligopoly market. More specifically, a duopoly market is considered. Equilibrium of the two companies is derived under different assumptions about sectoral demand and cost functions. More specifically, at first, linear demand functions are considered, and then two cases of isoelastic demand function are used.
Book Chapter•DOI•
Construction of Assymptotically Symplectic Methods for the numerical solution of the Schrödinger Equation - application to 5th and 7th order. 1

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Zacharoula Kalogiratou, Th. Monovasilis, T. E. Simos
29 Apr 2019
Book Chapter•DOI•
Mathematical Modeling of the Brewery Sector in Greece with the Use of Differential Equations

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Zacharoula Kalogiratou1, Th. Monovasilis1, Nicholas Tsounis1, G. Bertsatos1, Soultana Moustakli1 •
University of Western Macedonia1
04 Jun 2019
TL;DR: In this article, the authors used computational biology models of the Volterra-Lotka family, known as competing species models, for modeling an oligopoly market, with application to the brewery sector in Greece.
Abstract: Computational biology models of the Volterra–Lotka family, known as competing species models, are used for modeling an oligopoly market, with application to the brewery sector in Greece. Parameter estimation with nonlinear least squares is performed. The findings show the company with the larger market share is experiencing a strong competition from all the other companies of the sector; the coefficient is negative and its value is −0.59. However, the coefficient for the “rest of the companies” in the sector has a positive sign although its value is small, about 0.07. This indicates that smaller companies of the sector benefited by the increase of sales of the first company maybe because they are targeting consumers with different tastes offering a completely differentiated product.