Dmitry S. Kulyabov
Dmitry S. Kulyabov
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Constrained Hamiltonian approach to the Maxwell theory
The most common physical formalisms are the Lagrangian formalism and the Hamiltonian formalism. From the superficial point of view, …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Migran Nelsonovich Gevorkyan
,
Leonid Antonovich Sevastianov
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Essay on the study of the self-oscillating regime in the control system
The authors for a long time have investigated the phenomenon of global synchronization. Specifically, the occur- rence of a …
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
,
Tatyana Refatovna Velieva
,
Ivan Sergeevich Zaryadov
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Finslerian representation of the Maxwell equations
When the Maxwell equations are geometrized, the Maxwell Lagrangian is usually reduced to the Yang-Mills Lagrangian. In this case, the …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Tatyana Refatovna Velieva
,
Anastasiya Vyacheslavovna Demidova
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arXiv
Numerical analysis of eikonal equation
The Maxwell equations have a fairly simple form. However, finding solutions of Maxwell’s equations is an extremely difficult …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Tatiana Refatovna Velieva
,
Migran Nelsonovich Gevorkyan
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Statistically significant performance testing of Julia scientific programming language
In this article, we compare the support for SIMD instructions for Julia and Fortran. The comparison is carried out according to the …
Migran Nelsonovich Gevorkyan
,
Anastasiya Vyacheslavovna Demidova
,
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
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New Features in the Second Version of the Cadabra Computer Algebra System
In certain scientific domains, there is a need for tensor operations. To facilitate tensor computations, computer algebra systems are …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korol'kova
,
Leonid Antonovich Sevast'yanov
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Parametric study of the control system in the TCP network
Self-oscillating modes in control systems of computer networks quite negatively affect the characteristics of these networks so the …
Tatyana Refatovna Velieva
,
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
,
Sergey Aleksandrovich Abramov
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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 …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Leonid Antonovich Sevastianov
,
Migran Nelsonovich Gevorkyan
,
Anastasiya Vyacheslavovna Demidova
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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 …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Tatyana Refatovna Velieva
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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. …
Edik Artashevich Ayrjan
,
Alexander Egorov
,
Dmitry Sergeevich Kulyabov
,
Victor Malyutin
,
Leonid Antonovich Sevastianov
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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 …
Anastasiya Vyacheslavovna Demidova
,
Migran Nelsonovich Gevorkyan
,
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Leonid Antonovich Sevastianov
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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 …
E. v. Bogdanova
,
Ivan Sergeevich Zaryadov
,
Tatiana Aleksandrovna Milovanova
,
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
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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 …
Migran Nelsonovich Gevorkyan
,
Anastasiya Vyacheslavovna Demidova
,
Tatyana Refatovna Velieva
,
Anna Vladislavovna Korol'kova
,
Dmitry Sergeevich Kulyabov
,
Leonid Antonovich Sevast'yanov
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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 …
Migran Nelsonovich Gevorkyan
,
Anastasiya Vyacheslavovna Demidova
,
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
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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, …
Konstantin Petrovich Lovetskiy
,
Leonid Antonovich Sevastianov
,
Dmitry Sergeevich Kulyabov
,
Nikolai E. Nikolaev
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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 …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Tatyana Refatovna Velieva
,
Ekaterina Gennadyevna Eferina
,
Leonid Antonovich Sevastianov
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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 …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Leonid Antonovich Sevastianov
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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 …
Tatyana Refatovna Velieva
,
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Ivan Sergeevich Zaryadov
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DOI
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 …
Migran Nelsonovich Gevorkyan
,
Anastasiya Vyacheslavovna Demidova
,
Ivan Sergeevich Zaryadov
,
R.A. Sobolewski
,
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
,
Leonid Antonovich Sevastianov
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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. …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Leonid Antonovich Sevastianov
,
Ekaterina Gennadyevna Eferina
,
Tatyana Refatovna Velieva
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