Index:scopus

Modelica-based TCP simulation

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 …

tatyana-refatovna-velieva

Maxwell's Equations Instantaneous Hamiltonian

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 …

dmitry-sergeevich-kulyabov

Geometrization of Maxwell's Equations in the Construction of Optical Devices

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 …

dmitry-sergeevich-kulyabov

Field Calculation for the Horn Waveguide Transition in the Single-Mode Approximation of the Cross-Sections Method

We investigate the waveguide propagation of polarized monochromatic light in a smoothly irregular transition between two regular planar dielectric waveguides. The single-mode …

migran-nelsonovich-gevorkyan

Application of Functional Integrals to Stochastic Equations

Representing a probability density function (PDF) and other quantities describing a solution of stochastic differential equations by a functional integral is considered in this …

edik-artashevich-ayrjan

A Geometric Approach to the Lagrangian and Hamiltonian Formalism of Electrodynamics

In solving field problems, for example problems of electrodynamics, we commonly use the Lagrangian and Hamiltonian formalisms. Hamiltonian formalism of field theory has the …

dmitry-sergeevich-kulyabov

Diagram Representation for the Operator Approach of One-Step Processes Stochastization

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 …

ekaterina-gennadyevna-eferina

Operating System Plan9 as the Implementation of the GRID Ideology

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 …

migran-nelsonovich-gevorkyan

Stochastization Of One-Step Processes In The Occupations Number Representation

By the means of the method of stochastization of onestep processes we get the simplified mathematical model of the original stochastic system. We can explore these models by …

anna-vladislavovna-korolkova

Hybrid Simulation Of Active Traffic Management

For the study and verification of our mathematical model of RED-like active traffic management module a discrete simulation model and a continuous analytical model were developed. …

anna-vladislavovna-korolkova

Using two Types of Computer Algebra Systems to Solve Maxwell Optics Problems

To synthesize Maxwell optics systems, the mathematical apparatus of tensor and vector analysis is generally employed. This mathematical apparatus implies executing a great number …

dmitry-sergeevich-kulyabov

The Stochastic Processes Generation in OpenModelica

This paper studies program implementation problem of pseudo-random number generators in OpenModelica. We give an overview of generators of pseudo-random uniform distributed …

migran-nelsonovich-gevorkyan

Stochastic Runge–Kutta Software Package for Stochastic Differential Equations

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, …

migran-nelsonovich-gevorkyan

Spinor-Like Hamiltonian for Maxwellian Optics

Background Spinors are more special objects than tensor. Therefore possess more properties than the more generic objects such as tensors. Group of Lorentz two-spinors is the …

dmitry-sergeevich-kulyabov

Operator Approach to the Master Equation for the One-Step Process

Background. Presentation of probability as an intrinsic property of the nature leads researchers to switch from deterministic to stochastic description of the phenomena. On the …

michal-hnatic

Operator Approach to the Master Equation for the One-Step Process

Background. Presentation of probability as an intrinsic property of the nature leads researchers to switch from deterministic to stochastic description of the phenomena. On the …

michal-hnatic

Numerical and Analytical Modeling of Guided Modes of a Planar Gradient Waveguide

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. …

edik-artashevich-ayrjan

Diagram Representation for the Stochastization of Single-Step Processes

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 …

ekaterina-gennadyevna-eferina

The Method of Constructing Models of Peer to Peer Protocols

The models of peer to peer protocols are presented with the help of one-step processes. On the basis of this presentation and the method of randomization of one-step processes, it …

anastasiya-vyacheslavovna-demidova

Designing Installations for Verification of the Model of Active Queue Management Discipline RED in the GNS3

The problem of RED-module mathematical model results verification, based on GNS3 experimental stand, is discussed in this article. The experimental stand consists of virtual Cisco …

tatyana-refatovna-velieva