Index:scopus

Approaches to the implementation of generalized complex numbers in the Julia language

In problems of mathematical physics in order to study the structures ofspaces by using the Cayley–Klein models in theoretical calculations, the generalized complex numbers are …

migran-nelsonovich-gevorkyan

Practical Application of the Multi-model Approach in the Study of Complex Systems

anna-vladislavovna-korolkova

Melanoma Detection Computer System Development with Deep Neural Networks

This paper examines the problem of detecting skin malignancies, in particular, melanoma, from the analysis of dermoscopic images using deep learning methods. For this purpose, a …

eugene-yurievich-shchetinin

Deep Neural Networks for Emotion Recognition

The paper investigates the problem of recognizing human emotions by voice using deep learning methods. Deep convolutional neural networks and recurrent neural networks with …

eugene-yurievich-shchetinin

An Effective Stable Numerical Method for Integrating Highly Oscillating Functions with a Linear Phase

A practical and simple stable method for calculating Fourier integrals is proposed, effective both at low and at high frequencies. An approach based on the fruitful idea of Levin, …

leonid-antonovich-sevastianov

A Practical Approach to Testing Random Number Generators in Computer Algebra Systems

This paper has a practical aim. For a long time, implementations of pseudorandom number generators in standard libraries of programming languages had poor quality. The situation …

migran-nelsonovich-gevorkyan

A Modular Extension for a Computer Algebra System

Computer algebra systems are complex software systems that cover a wide range of scientific and practical problems. However, the absolute coverage cannot be achieved. Often, it is …

migran-nelsonovich-gevorkyan

Numerical modeling of stationary pseudospin waves on a graphene monoatomic films

For the first time, the theoretical model of the spin-electron structure of a singlelayer graphene film was proposed by Wallace. The literature also describes ferromagnetism …

le-anh-nhat

Mathematical model of cavitation under the influence of a single stretching pulse

This paper describes the created mathematical model that allows you to explore the dynamics of cavitation bubbles under the influence of a single negative pressure pulse. The time …

nikolay-yurievich-kravchenko

A new algorithm used the Chebyshev pseudospectral method to solve the nonlinear second-order Lienard differential equations

This article presents a numerical method to determine the approximate solutions of the Lienard equations. It is assumed that the second-order nonlinear Linard differential …

le-anh-nhat

Structural Approach to the Deep Learning Method

According to the modest opinion of the authors, data science, machine learning, neural networks are extremely relevant areas of science. Around them there was an expectation that …

leonid-antonovich-sevastianov

Numerical analysis of eikonal equation

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

dmitry-sergeevich-kulyabov

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 effective quadratic metric, usually …

dmitry-sergeevich-kulyabov

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 self-oscillatory regime in a control system was …

anna-vladislavovna-korolkova

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, they are one and the same, but rewritten in …

dmitry-sergeevich-kulyabov

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 methodology described in work of T. Kalibera, R. …

migran-nelsonovich-gevorkyan

Overview of social networks research software

This paper discusses the software tools which are used to study of social networks (graphs). The study of social graphs received a significant boost with the development of the …

migran-nelsonovich-gevorkyan

Numerical solution of the problem of homogeneous nucleation in the liquid phase

nickolay-yu-kravchenko

Modeling RED algorithm modifications in the OpenModelica

The goal of this work is to simulate the Random Random Detection algorithm (RED) and Double Slope Random Early Detection (DSRED) and Gentle Random Early Detection (GRED) …

anna-maria-yurievna-apreutesey

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 employed. In our research, we have been using …

dmitry-sergeevich-kulyabov