Grant:rfbr:14-01-00628

Spinor Representation of Maxwell's Equations

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 …

dmitry-sergeevich-kulyabov

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

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

Waveguide Modes of a Planar Gradient Optical 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. …

migran-nelsonovich-gevorkyan

Stable Algorithm of Integrating Rapidly Oscillating Functions

The work describes the new regularized algorithm for computing integrals of rapidly oscillating functions allowing effectively and accurately determine the required value in 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

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

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