Papers by Anna V . Korolkova
АВТОМАТИЗАЦИЯ УСТАНОВКИ И РАСПРОСТРАНЕНИЯ ОБРАЗА НА БОЛЬШОЕ ЧИСЛО ТИПОВЫХ РАБОЧИХ МЕСТ ПОЛЬЗОВАТЕЛЯ ПРИ ПОМОЩИ ПРОТОКОЛА BITTORRENT
T Comm Телекоммуникации И Транспорт, 2013
Vestnik Rossijskogo universiteta družby narodov, 2017
Построение стохастической модели Bittorrent-подобного протокола методом комбинаторной кинетики
T-Comm - Телекоммуникации и Транспорт, Nov 1, 2013
Implementation of Geometric Algebra in Computer Algebra Systems
Programming and Computer Software, Feb 1, 2023
Software Package Development for the Active Traffic Management Module Self-oscillation Regime Investigation
Springer eBooks, May 27, 2018
Self-oscillating modes in control systems of computer networks quite negatively affect the charac... more 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 is actual and important as the study of parameters of self-oscillations. These studies are extremely labor-intensive because of the substantial non-linear nature of the mathematical model. To investigate the self-oscillation parameters, the authors used the method of harmonic linearization. However, the previously used model with symmetric oscillations showed its limitations. In this paper, a more complex model with asymmetric oscillations is applied. For this purpose, the authors developed the program complex with both numerical analysis elements and elements of symbolic calculations.
Computer Algebra Tools for Geometrization of Maxwell’s Equations
Programming and Computer Software, Jul 28, 2023
Julia language features for processing statistical data
Discrete and Continuous Models and Applied Computational Science, Mar 30, 2023
arXiv (Cornell University), Jul 19, 2020
Combinatorial and operator approaches to RED modeling
Mathematical modelling and geometry, Dec 1, 2015
The mathematical model of the traffic transfer process with a rate adjustable by RED
Geometric Algebra and Quaternion Techniques in Computer Algebra Systems for Describing Rotations in Eucledean Space
Computational Mathematics and Mathematical Physics, 2023
Spinor representation of Maxwell’s equations
Journal of physics, 2017
Spinors are more special objects than tensor. Therefore possess more properties than the more gen... more 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 covering group of the Lorentz group. Since the Lorentz group is a symmetry group of Maxwell's equations, it is assumed to reasonable to use when writing the Maxwell equations Lorentz two-spinors and not tensors. We describe in detail the representation of the Maxwell's equations in the form of Lorentz two-spinors. This representation of Maxwell's equations can be of considerable theoretical interest.
Analytical-Numerical Implementation of Polyvector Algebra in Julia
Programming and Computer Software, Feb 1, 2022
Abstract Geometric algebra is based on the works by Grassmann and Clifford. Its main objects of r... more Abstract Geometric algebra is based on the works by Grassmann and Clifford. Its main objects of research are polyvectors ( p -vectors) and multivectors. Polyvectors, together with the exterior product, implement the Grassmann algebra, while multivectors with the geometric product implement the Clifford algebra. Multivector algebra generalizes many operations and objects of analytic geometry and differential geometry (e.g., vector and mixed products, normal vectors and binormals, etc.) to the multidimensional case, as well as provides their geometric interpretation. Complex numbers and quaternions are isomorphic to multivectors of a special kind. This paper applies certain ideas of geometric algebra to solve problems that occur in computer geometry. For this purpose, the Grassmann.jl package for Julia is used.
Essay On The Study Of The Self-Oscillating Regime In The Control System
ECMS 2019 Proceedings edited by Mauro Iacono, Francesco Palmieri, Marco Gribaudo, Massimo Ficco
Discrete and Continuous Models and Applied Computational Science
This article discusses a universal way to create animation using Asymptote the language for vecto... more This article discusses a universal way to create animation using Asymptote the language for vector graphics. The Asymptote language itself has a built-in library for creating animations, but its practical use is complicated by an extremely brief description in the official documentation and unstable execution of existing examples. The purpose of this article is to eliminate this gap. The method we describe is based on creating a PDF-file with frames using Asymptote, with further converting it into a set of PNG images and merging them into a video using FFmpeg. All stages are described in detail, which allows the reader to use the described method without being familiar with the used utilities.
Discrete and Continuous Models and Applied Computational Science
Hyperbolic complex numbers are used in the description of hyperbolic spaces. One of the well-know... more Hyperbolic complex numbers are used in the description of hyperbolic spaces. One of the well-known examples of such spaces is the Minkowski space, which plays a leading role in the problems of the special theory of relativity and electrodynamics. However, such numbers are not very common in different programming languages. Of interest is the implementation of hyperbolic complex in scientific programming languages, in particular, in the Julia language. The Julia language is based on the concept of multiple dispatch. This concept is an extension of the concept of polymorphism for object-oriented programming languages. To implement hyperbolic complex numbers, the multiple dispatching approach of the Julia language was used. The result is a library that implements hyperbolic numbers. Based on the results of the study, we can conclude that the concept of multiple dispatching in scientific programming languages is convenient and natural.
The purpose of this work is to study the capabilities of the Julia language for numerical modelin... more The purpose of this work is to study the capabilities of the Julia language for numerical modeling of stochastic systems. As a stochastic system we consider the model of interaction between the process of data transmission via the Transmission Control Protocol (TCP) and the process of regulating the flow state using the Random Early Detection (RED) algorithm. The mathematical model of this interaction is a system of stochastic differential equations, where there are both continuous and discrete elements of the model. When simulating such systems, it is important to consider the properties of continuous parameters, such as queue length of a router and the TCP window size, as well as discrete transitions between TCP states and the probabilistic packet drop function. Such hybrid systems can be quite easily implemented in specialized dynamic systems modeling languages, for example in Modelica. However, this software package does not have built-in universal tools for modeling stochastic ...
ArXiv, 2020
Anna V. Korolkova,1, * Dmitry S. Kulyabov,1, 2, † and Michal Hnatič3, 4, 5, ‡ Department of Appli... more Anna V. Korolkova,1, * Dmitry S. Kulyabov,1, 2, † and Michal Hnatič3, 4, 5, ‡ Department of Applied Probability and Informatics, Peoples’ Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation Laboratory of Information Technologies Joint Institute for Nuclear Research 6 Joliot-Curie, Dubna, Moscow region, 141980, Russian Federation Department of Theoretical Physics, SAS, Institute of Experimental Physics, Watsonova 47, 040 01 Košice, Slovak Republic Pavol Jozef Šafárik University in Košice (UPJŠ), Šrobárova 2, 041 80 Košice, Slovak Republic Bogoliubov Laboratory of Theoretical Physics Joint Institute for Nuclear Research 6 Joliot-Curie, Dubna, Moscow region, 141980, Russian Federation
Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear Research6, Joliot-Curie, ... more Bogoliubov Laboratory of Theoretical PhysicsJoint Institute for Nuclear Research6, Joliot-Curie, Dubna, Moscow region, Russia, 141980During development of methods for stochastization of one-step processes the attention wasfocused on obtaining the stochastic equations in the form of the Langevin, since this form ofstochastic equations is most usual in the construction and study of one-step processes mod-els. When applying the method there is the problem of justifying the transition from masterequation to the Fokker–Planck equation for the different versions of the model. However,the forms of partial differential equations (master equation and the Fokker–Planck equation)wider description of the model to researchers. It is proposed to treat these equations withthe help of perturbation theory in the framework of quantum field theory. For this pur-pose the methodology was described and the analytical software complex was constructedto write down put the main kinetic equation in the opera...
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Papers by Anna V . Korolkova