Jurnal matematik modellashtirish, hisoblash matematikasi va sonli usullarning zamonaviy usullarini ishlab chiqish va qoʻllashga qaratilgan boʻlib, sunʼiy intellekt, maʼlumotlarni intellektual tahlil qilish (data mining), teskari va notoʻgʻri qoʻyilgan masalalar, parallel hisoblash hamda dasturlash texnologiyalariga ustuvor eʼtibor qaratadi.
| Nashriyot | Тошкент ахборот технологиялари университети қошидаги, Ахборот-коммуникация технологиялари илмий-инновацион, маркази |
|---|---|
| Shahar | Toshkent |
| ISSN | 2181-8460 |
| e-ISSN | 2181-046X |
| Tashkil etilgan | 2015 |
| Maqolalar soni | 184 |
| OAK holati | Ro‘yxatda |
The subject of this article is modeling the process of propagation of gas mixtures and aerosol particles in the surface layer of the atmosphere. A model of the process of propagation of industrial emissions in the…
The paper studies the process of wet deposition of radioactive impurities, including their interaction with rain, snow, and fog. Mathematics models describing the deposition process are presented based on data from the…
The mathematical model of the cleaning process of a cylindrical device operating on centrifugal force, describing the movement of particles and their resistance coefficients, is presented in the form of a system of…
In the modern world, the problem of storing grain crops and their processed products plays a vital role in ensuring food security. One of the key aspects of preserving grain quality is monitoring heat and moisture…
This article presents a scientific study of seismic oscillations and Rayleigh wave propagation models. The research details how Rayleigh waves propagate in a semi-infinite elastic medium, the types of motions they…
This study analyzes the level of atmospheric air pollution in the city of Tashkent, focusing on the annual dynamics of pollutant emissions from stationary sources and the content of particulate matter PM10 and PM2.5. In…
The article addresses the problem of numerical modeling of groundwater filtration processes, taking into account the influence of wells on the groundwater level. The considered nonlinear problem is transformed into a…
This paper presents a mathematical model and a numerical algorithm designed for monitoring and forecasting the ecological conditions of the near-surface atmospheric layer. The model accounts for weather and climate…
The IP-based rail transpot network lists the radio communication Reliability Index and methodology for its calculation. In general, the use of the classical graph-probability method for calculating the reliability of an…
His study analyses chlorophyll indices in plants as indicators of the presence of phytopathogens and abiotic stress. Special attention is given to the identification of early signs of strawberry spider mite infestation…
This article provides an advanced control model for controlling the temperature and water level in smart home systems. The proposed model combines adaptive splines, Kalman filters, a dynamically adjustable PID…
This study examines the annotation of documents with respect to semantic roles. The data for thematic models is formed based on the standard bag-of-words hypothesis. The question of the number and uniqueness of themes…
This paper investigates the existence and conditional stability of solutions for a initialboundary value problem related to a third-order mixed-type Sobolev equation. These types of problems arrays in various fields…
To solve elliptic equations, iterative methods are mainly used, the number of iterations in which is often very large. For this reason, it is of interest to develop high-precision direct oriented methods for solving…
Using the Duhamel-Neumann relationship and the equations of motion, the Saint-Venant compatibility conditions, are written as a system of six dynamic equations with respect to strains. It is shown that, unlike the…
In this work, a mathematical model of the thermo-electro-magnetic-elastic deformation process of thin plates with a complex shape was developed and calculation experiments were carried out using the…
A numerical study of the non-stationary technological process of filtering lowconcentration solutions through a porous medium, proceeding in accordance with Darcy’s law taking into account the phenomena of colmatation…
A multidimensional mathematical model of simultaneous heat and moisture transfer processes in inhomogeneous porous bodies is proposed, considering internal heat and moisture release, heat and moisture exchange with the…
The nonlinear viscoelastic vibration protection system is considered, which consists of a vibration protection object installed on a platform, which, in turn, is installed on another platform, the lower platform is…
The approximate solution of linear Fredholm integral equations of the second kind is one of the pressing problems in the field of computational mathematics today. Most researchers offer various approximate methods for…
This paper investigates the construction of an optimal quadrature formula for Fourier integrals of ????(????) function using the method of ????-functions. The function ????(????) belongs to the Hilbert space, which…
In the present article, the problem of constructing the optimal quadrature formula in the sense of Sard is discussed for numerical integration of the weighted integrals in the Hilbert space of real-valued functions…
One of the classical problems in computational mathematics is to construct an interpolation formulas from a countable set of data. This paper demonstrates the problem of construction of optimal interpolation formulas…
This paper presents the construction of an optimal quadrature formula in Sobolev space for integrals with power-logarithmic kernels. Formulas are derived for calculating the coefficients of the optimal quadrature…
In the world, special attention is paid to the creation of various optimal calculation methods. This article is devoted to the construction of derivative optimal quadrature formulas in the space of differentiable…
In this work, using the method of periodization of functions, optimal quadrature formulas of Hermite type will be constructed in spaces where the second derivatives are summable with squares. For this purpose, optimal…
One of the main problems of computational mathematics is the optimization of computational methods in function spaces. Optimization of computational methods has proven itself well in problems of the theory of quadrature…
In spline theory, there are algebraic and variational approaches. In the algebraic approach, splines are considered as some smooth piecewise polynomial functions. In the variational approach, splines are understood as…
The solution of the Cauchy problem for partial differential equations of hyperbolic type J. Hadamard led to singular integrals of a special form. Later they were called integrals in the sense of Hadamard, or Hadamard…
A number of books by I.P. Mysovkikh, A.H. Stroud, V.I. Krylov and H.T. Shulgina are devoted to the approximate calculation of integrals, where the theory of constructing quadrature and cubature formulas is presented and…
Many mathematical models in science and technology have been reduced to the approximate calculation of singular integrals with Cauchy and Hilbert kernels and the approximate solution of integral equations. In this…
Along with classical integration and differentiation, the concepts of fractional integral and fractional differential are widely used in modern mathematics. In this work, we construct an optimal quadrature formula for…
The problem of constructing optimal quadrature and interpolation formulas for the approximate calculation of certain integrals and approximation of functions is one of the important problems of computational…
The purpose of the paper is to establish a common fixed point theorem for compatible mappings of type (K) in a complete intuitionistic fuzzy Metric space with example which generalizes and improves various well-known…
The article considers the problem of simultaneously representing three natural numbers as the sum of six prime numbers. It proves a power estimate for the number of triplets, which cannot be simultaneously expressed as…
Now splines are being constructed in different spaces and with different methods, and their application is widely studied. In this work, We construct a parametric spline that belongs ????3,???? space. For this , we will…
The finite difference method is used to numerically solve many problems in physics and engineering described by mathematical physics equations. The basic concepts of difference methods are approximation, stability, and…
In this work we will consider asynchronous iteration algorithms. As is well known in multiprocessor computers the parallel application of iterative methods often shows poor scaling and less than optimal parallel…
The optimization of computational methods in function spaces is one of the main problems in computational mathematics. In this work, using the variational method optimization of difference formulas for an approximate…
There are algebraic and variational approaches of construction in the spline theory. In algebraic approach splines are considered as some smooth piecewise polynomial functions. In the variational approach splines are…
This paper discusses the construction of an optimal quadrature formula based on a functional approach for the numerical calculation of Fourier coefficients. In this case, first we solve the boundary value problem for…
The construction of an optimal interpolation formula within the Hilbert space is the focus of this paper. The difference between a given function and an interpolation formula is estimated by the norm of the error…
In this work, we consider system of linear and nonlinear Volterra integral equations (VIEs) of the first kind. At first, we have converted system of VIEs of the first kind to an equation of the second kind by…
In the modeling of a number of practical problems, it is brought to the mixed problems imposed on the system of quasi-linear hyperbolic equations. Since there is no exact solution to such problems, they are solved using…
Regimes of stochasticity and chaos are allowed in nonlinear reaction-diffusion systems that describe chemical-reactive, astrophysical, thermal, thermonuclear, plasma, epidemiological and demographic processes. The work…
The article discusses modeling the quality management system of educational information systems (EIS) using fuzzy cognitive maps, as one of the most effective approaches to solving weakly formalized problems. To…
Now in the world there are a lot of diseases threatening humanity and for these medical treatments and diagnostic methods have also improved both in practical and statistical. This paper discusses one of the most…
The article analyzes the work done so far to create a high-quality computer translation. It also describes the approaches, challenges, and solutions in achieving semantically accurate translation in computer…
The article considers a solution to a two-class recognition problem using metric al gorithms based on k-nearest neighbors. The proposed solution options are: the classical KNN algorithm based on a nonparametric estimate…
The paper proposes a method that belongs to the group of intensional methods of pattern recognition, the essence of which is the transition from a system of initial features to a reduced system of models of…