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 …
The article is devoted to the application of Markov modu- lated arrival processes (Markov modulated Poisson process — MMPP, Markov modulated Bernoulli process — MMBP and Markov …
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 …
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 …
When we organize parallel computations on a cluster system, the computer system structure is not hidden from the user, and should be taken into account while writing parallel …
To synthesize Maxwell optics systems, the mathematical apparatus of tensor and vector analysis is generally employed. This mathematical apparatus implies executing a great number …
This paper studies program implementation problem of pseudo-random number generators in OpenModelica. We give an overview of generators of pseudo-random uniform distributed …
As a result of the application of a technique of multistep processes stochastic models construction the range of models, implemented as a self-consistent differential equations, …
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. …
Background. 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 …
In a planar regular optical waveguide, propagation of polarized monochromatic electromagnetic radiation obeys a law following from the Maxwell equations. The Maxwell equations in …