Dmitry S. Kulyabov
Dmitry S. Kulyabov
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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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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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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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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 …
Edik Artashevich Ayrjan
,
A. D. Egorov
,
Dmitry Sergeevich Kulyabov
,
V. B. Malyutin
,
Leonid Antonovich Sevastyanov
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Modelica-based TCP simulation
For the study and verification of our mathematical model of telecommunication systems a discrete simulation model and a continuous …
Tatyana Refatovna Velieva
,
Ekaterina Gennadyevna Eferina
,
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
,
Leonid Antonovich Sevastianov
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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, …
Dmitry Sergeevich Kulyabov
,
Anna Vladislavovna Korolkova
,
Leonid Antonovich Sevastianov
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The Survey on Markov-Modulated Arrival Processes and Their Application to the Analysis of Active Queue Management Algorithms
The article is devoted to the application of Markov modu- lated arrival processes (Markov modulated Poisson process — MMPP, Markov …
Ivan Sergeevich Zaryadov
,
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
,
Tatiana Aleksandrovna Milovanova
,
Vladimir Tsurlukov
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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 …
Ekaterina Gennadyevna Eferina
,
Michal Hnatich
,
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
,
Leonid Antonovich Sevastianov
,
Tatyana Refatovna Velieva
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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 …
Edik Artashevich Ayrjan
,
Migran Nelsonovich Gevorkyan
,
Dmitry Sergeevich Kulyabov
,
Konstantin Petrovich Lovetskiy
,
Nikolai E. Nikolaev
,
Anton Leonidovich Sevastianov
,
Leonid Antonovich Sevastianov
,
Eugeny Borisovich Laneev
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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 …
Migran Nelsonovich Gevorkyan
,
Michal Hnatich
,
Ivan Mikhailovich Gostev
,
Anastasiya Vyacheslavovna Demidova
,
Anna Vladislavovna Korolkova
,
Dmitry Sergeevich Kulyabov
,
Leonid Antonovich Sevastianov
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Using two Types of Computer Algebra Systems to Solve Maxwell Optics Problems
To synthesize Maxwell optics systems, the mathematical apparatus of tensor and vector analysis is generally employed. This mathematical …
Dmitry Sergeevich Kulyabov
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Tensor Computations in Computer Algebra Systems
This paper considers three types of tensor computations. On their basis, we attempt to formulate criteria that must be satisfied by a …
Anna Vladislavovna Korol'kova
,
Dmitry Sergeevich Kulyabov
,
Leonid Antonovich Sevast'yanov
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An Application of Computer Algebra System Cadabra to Scientific Problems of Physics
In this article we present two examples solved in a new problem-oriented computer algebra system Cadabra. Solution of the same examples …
Leonid Antonovich Sevastianov
,
Dmitry Sergeevich Kulyabov
,
Mariya Gennadyevna Kokotchikova
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Application of Two-Spinor Calculus in Quantum Mechanical and Field Calculations
This paper describes Lorentz two-spinors and proposes using them in calculations with Dirac four-spinors and quaternions.
Dmitry Sergeevich Kulyabov
,
A G Ul'yanova
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