Grant:rudn:5-100

Software Package For The Active Queue Management Module Model Verification

Self-oscillation modes in control systems of data transmission networks negatively affect the characteristics of these networks. To investigate the self-oscillation mode for …

tatyana-refatovna-velieva

Проблемы реализации стохастических численных методов Рунге–Кутты

В данной работе рассматриваются стохастические численные методы типа Рунге–Кутты с слабой и сильной сходимостями для систем стохастических дифференциальных уравне- ний в форме Ито. …

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Моделирование системы с управлением на языке Modelica

Описана и реализована в среде OpenModelica упрощенная модель передачи трафика в системе с активным управлением очередью с алгоритмом типа RED. Продемонстрирована динамика поведения …

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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 solve the problem of finding the parameters of the …

dmitry-sergeevich-kulyabov

Software Implementation of the Eikonal Equation

The Maxwell equations have a fairly simple form. However, finding solutions to Maxwell's equations is an extremely difficult task. Therefore, various simplifying approaches are …

dmitry-sergeevich-kulyabov

Automatic Code Generation for Stochastic Runge–Kutta Methods

In this paper we consider in detail the realization of Runge–Kutta stochastic numerical methods with weak and strong convergence for systems of stochastic differential equations in …

migran-nelsonovich-gevorkyan

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 this case it is a direct problem. However …

dmitry-sergeevich-kulyabov

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 schemes of kinetic interaction. Schemes of …

anastasiya-vyacheslavovna-demidova

Functional Integral Approach to the Solution of a System of Stochastic Differential Equations

A new method for the evaluation of the characteristics of the solution of a system of stochastic differential equations is presented. This method is based on the representation of …

edik-artashevich-ayrjan

Численный анализ геометризованных уравнений Максвелла

В работе показано применение метода характеристик к уравнению эйконала, записанного для линз Максвелла и Люнеберга. Уравнение эйканала преобразовано к системе из четырех ОДУ. …

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Реализация метода стохастизации одношаговых процессов в системе компьютерной алгебры

При моделировании таких явлений как популяционная динамика, исследование управляемых потоков и т.д. возникает проблема адаптации существующих моделей под исследуемое явление. Для …

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Вычислительная и имитационная модели системы с управлением на Modelica

При моделировании сетевых протоколов является проблемой выбор модельного подхода и средства программной реализации. Специфика данной предметной области состоит в том, что для …

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Two Formalisms of Stochastization of One-Step Models

To construct realistic mathematical models from the first principles, the authors suggest using the stochastization method. In a number of works different approaches to …

dmitry-sergeevich-kulyabov

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 of finding the areas of self-oscillations is …

dmitry-sergeevich-kulyabov

Simple Model of Nonlinear Spin Waves in Graphene Structures

A series of theoretical and experimental works is known which investigated the magnetic properties of graphene structures. This is due, among other things, to the prospects of …

dmitry-sergeevich-kulyabov

Regularized Computation of Oscillatory Integrals with Stationary Points

Ability to calculate integrals of rapidly oscillating functions is crucial for solving many problems in optics, electrodynamics, quantum mechanics, nuclear physics, and many other …

konstantin-petrovich-lovetskiy

Issues in the Software Implementation of Stochastic Numerical Runge–Kutta

This paper discusses the application of stochastic Runge-Kutta-like numerical methods with weak and strong convergences for systems of stochastic differential equations in Itô …

migran-nelsonovich-gevorkyan

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 phenomenon under study. For this purpose, we …

migran-nelsonovich-gevorkyan

Characteristics of Lost and Served Packets for Retrial Queueing System with General Renovation and Recurrent Input Flow

The retrial queuing system with general renovation is under investigation. The mechanism of general renovation with retrials means that the packet at the end of its service in …

e.-v.-bogdanova

The approach to investigation of the the regions of self-oscillations

Self-oscillating modes in control systems of computer networks quite negatively affect the characteristics of these networks. The problem of finding the areas of self-oscillations …

tatyana-refatovna-velieva