Rfbr15-07-08795

Algorithm for Lens Calculations in the Geometrized Maxwell Theory
Nowadays the geometric approach in optics is often used to find out media parameters based on propagation paths of the rays because in …
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The Riemannian Geometry is not Sufficient for the Geometrization of the Maxwell's Equations
The transformation optics uses geometrized Maxwell’s constitutive equations to solve the inverse problem of optics, namely to …
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The Automation of Stochastization Algorithm with Use of SymPy Computer Algebra Library
SymPy computer algebra library is used for automatic generation of ordinary and stochastic systems of differential equations from the …
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Implementing a Method for Stochastization of One-Step Processes in a Computer Algebra System
When modeling such phenomena as population dynamics, controllable flows, etc., a problem arises of adapting the existing models to a …
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The Methodology of Studying of Active Traffic Management Module Self-oscillation Regime
Self-oscillating modes in computer networks control systems quite negatively affect the characteristics of these networks. The problem …
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Implementation Difficulties Analysis of Stochastic Numerical Runge-Kutta Methods
This article discusses stochastic numerical methods of Runge-Kutta methods with weak and strong convergences for systems of stochastic …
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The Criteria for the Study of Occurrence of Self-Oscillation Mode of Active Traffic Management Module
In data networks, a negative phenomenon such as global synchronization can occur. It manifests itself in the form of auto-oscillations, …
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An Approach to Invistigate the Regions of Self-oscillations
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Approaches to Stochastic Modeling of Wind Turbines
Background. This paper study statistical data gathered from wind turbines located on the territory of the Republic of Poland. The …
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Implementation of Diagram Technique for Statistical Systems in Sympy
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The Construction of the SDE for Modeling Wind Speed for Wind Power Plants
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About Linearization of Active Traffic Management Module Model
The emergence of self-oscillating modes in data-transmission networks negatively affects characteristics of these networks. As a result …
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Stochastic Modeling of Wind Turbines
In this paper we study statistical data collected from wind turbines located on the territory of the Republic of Poland. Sensors, …
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Support for Parallel Computing in Julia Language
The purpose of this paper is a brief review of tools for parallel computing implemented in the current version of the Julia Language. …
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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. …
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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 …
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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 …
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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. …
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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 …
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Maxwell's Equations Instantaneous Hamiltonian
The Hamiltonian formalism is extremely elegant and convenient to mechanics problems. However, its application to the classical field …
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