Mine

Chebyshev collocation method for solving second order ODEs using integration matrices

The spectral collocation method for solving two-point boundary value problems for second order differential equations is implemented, based on representing the solution as an …

konstantin-petrovich-lovetskiy

Asymptote-based scientific animation

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 …

migran-nelsonovich-gevorkyan

Implementation of hyperbolic complex numbers in Julia language

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 …

anna-vladislavovna-korolkova

Multistage pseudo-spectral method (method of collocations) for the approximate solution of an ordinary differential equation of the first order

The classical pseudospectral collocation method based on the expansion of the solution in a basis of Chebyshev polynomials is considered. A new approach to constructing systems of …

konstantin-petrovich-lovetskiy

Multistage collocation pseudo-spectral method for the solution of the first order linear ODE

The two-stage method for solving ODEs is based on the interpolation of the coefficients of the derivative of the solution. Transforms with a spectral integration matrix gives a …

leonid-antonovich-sevastianov

Surrogate modeling assistant software

Computer modeling is designed to predict the behavior of complex systems by solving the corresponding mathematical equations of the physical process. The simulation requires a huge …

anastasia-vyacheslavovna-demidova

Implementation of an analytical-numerical approach to stochastization of one-step processes in the Julia programming language

In this paper, we use the method of stochastization of one-step processes to demonstrate the advantages of a stochastic representation of the system. To achieve this goal, the …

arseny-vitalievich-fedorov

Computer simulation of the stochastic RED algorithm

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 …

anna-maria-yurievna-apreutesey

Computer Algebra in JULIA

Recently, the place of the main programming language for scientific and engineering computations has been little by little taken by Julia. Some users want to work completely within …

dmitry-sergeevich-kulyabov

Using a Template Engine as a Computer Algebra Tool

In research problems that involve the use of numerical methods for solving systems of ordinary differential equations (ODEs), it is often required to select the most efficient …

migran-nelsonovich-gevorkyan

Numerical integrating of highly oscillating functions: effective stable algorithms in case of 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

Hybrid modelling of the RED algorithm in the Julia language

This work is devoted to studying the possibilities of hybrid modeling of communication network algorithms in the Julia programming language. A simulation of the system, which …

anna-maria-yurievna-apreutesey

Comparative analysis of machine learning methods by the example of the problem of determining muon decay

The history of using machine learning algorithms to analyze statistical models is quite long. The development of computer technology has given these algorithms a new breath. …

migran-nelsonovich-gevorkyan

Application of a numerical-analytical approach in the process of modeling differential equations in the Julia language

It is known that modeling consists of a few stages. Analytic calculations are made first and afterwards, they are converted into numerical ones. It is a fairly complicated task, …

arseny-vitalievich-fedorov

The multi-model approach to the study of complex systems using the example of the RED active queue management algorithm

Different kinds of models are used to study various natural and technical phenomena. Usually, the researcher is limited to using a certain kind of model approach, not using others …

anna-vladislavovna-korolkova

Paralinguistic model for emotions recognition with deep neural networks

In this paper the computer paralinguistic model for emotions recognition based on deep neural networks is proposed. The main stages of its construction were studied and relevant …

eugene-yurievich-shchetinin

On improving the accuracy of the classification on imbalanced classes with machine learning

Imbalance of the classes, characterized by a disproportional ratio of observations in each class, is one of the significant problems in machine learning. Class imbalances can be …

eugene-yurievich-shchetinin

Hyperbolic numbers as Einstein numbers

In the special theory of relativity (SR) it is usual to highlight so-called paradoxes. One of these paradoxes is the formal appearance of speed values grater then the light speed. …

dmitry-sergeevich-kulyabov

Skin cancer classification computer system development with deep learning

Melanoma is a deadly form of skin cancer that is often undiagnosed or misdiagnosed as a benign skin lesion. Its early detection is extremely important, since the life of patients …

anastasiya-vyacheslavovna-demidova

Languages for modeling the RED active queue management algorithms: Modelica vs. Julia

This work is devoted to the study of the capabilities of the Modelica and Julia programming languages for the implementation of a continuously discrete paradigm in modeling hybrid …

anna-maria-yurievna-apreutesey