In data networks, a negative phenomenon such as global synchronization can occur. It manifests itself in the form of auto-oscillations, which may capture the whole segment of the …
This article discusses stochastic numerical methods of Runge-Kutta methods with weak and strong convergences for systems of stochastic differential equations in the Ito form. At …
Background. This paper study statistical data gathered from wind turbines located on the territory of the Republic of Poland. The research is aimed to construct the stochastic …
The purpose of this paper is a brief review of tools for parallel computing implemented in the current version of the Julia Language. Julia is a young promising language designed …
In this paper we study statistical data collected from wind turbines located on the territory of the Republic of Poland. Sensors, mounted at three points of the wind power plant, …
The emergence of self-oscillating modes in data-transmission networks negatively affects characteristics of these networks. As a result the task of identifying zones of …
Spinors are more special objects than tensor. Therefore possess more properties than the more generic objects such as tensors. Thus, the group of Lorentz two-spinors is the …
For the study and verification of our mathematical model of telecommunication systems a discrete simulation model and a continuous analytical model were developed. However, for …
The Hamiltonian formalism is extremely elegant and convenient to mechanics problems. However, its application to the classical field theories is a difficult task. In fact, you can …
The mathematical model of light propagation in a planar gradient optical waveguide consists of the Maxwell's equations supplemented by the matter equations and boundary conditions. …
The paper considers the technics of construction of optical devices based on the method of geometrization of Maxwell's equations. The method is based on representation of material …
We investigate the waveguide propagation of polarized monochromatic light in a smoothly irregular transition between two regular planar dielectric waveguides. The single-mode …
Representing a probability density function (PDF) and other quantities describing a solution of stochastic differential equations by a functional integral is considered in this …
In solving field problems, for example problems of electrodynamics, we commonly use the Lagrangian and Hamiltonian formalisms. Hamiltonian formalism of field theory has the …
The mathematical model of light propagation in a planar gradient optical waveguide consists of the Maxwell's equations supplemented by the matter equations and boundary conditions. …
The work describes the new regularized algorithm for computing integrals of rapidly oscillating functions allowing effectively and accurately determine the required value in the …
By the means of the method of stochastization of one-step processes we get the simplified mathematical model of the original stochastic system. We can explore these models by …