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Modelling of interval thermal processes in electronic systems at the interval uncertainty of the determinative parameters
Applied Mathematical Modelling. 2017. No. 42. P. 257–268.
Madera A. G., Kandalov P.
As the practice shows, the parameters of electronic systems that determine the thermal processes are not unambiguously known and identified, but they are indeterminate and interval stochastic, which, in its turn, causes the intevally stochastic character of the thermal processes. This article develops a method that allows modelling unsteady interval stochastic thermal processes in an electronic system at the interval indeterminacy of the determinative parameters. The method is based on obtaining and further solving equations for the unsteady statistical measures (mathematical expectations, variances and covariances) of the temperature distribution in an electronic system at given change intervals and the statistical measures of the determinative parameters. Application of the elaborated method to modelling interval stochastic temperature fields by giving the example of a particular electronic system is considered.
Priority areas:
engineering science
Language:
English
Nersisyan A., Frontiers in Molecular Biosciences 2026 Vol. 13 Article 1995001
Antiviral activity is commonly summarized using endpoint measures such as EC50 or EC90, yet these quantities emerge from a dynamic biological system and depend on viral replication kinetics, host-cell properties, experimental design, and the assay used to quantify infection. Infectious-virus titers, viral RNA, infected-cell fractions, viability measurements, and immune readouts capture different components of the ...
Added: October 15, 2026
Maddalena L., Yildiz B., Del Vecchio Blanco F. et al., Risk Analysis 2026 Vol. 46 No. 4 P. 1–26
Heated tobacco products (HTPs) are marketed as alternatives to conventional cigarettes with a potential reduced risk profile. Yet, their actual impact on cancer and noncancer disease risk remains uncertain and requires rigorous quantitative assessment. In this study, we develop a unified and transparent computational framework for toxicological risk assessment of HTPs, integrating chemical emissions data ...
Added: September 22, 2026
Гущина В. А., / Series chemrxiv-2023-vpzhz-v2 "ChemRxiv". 2023.
All-inorganic perovskite CsPbBr3 and Cs4PbBr6 nanoparticles are being intensively studied due to their unique properties and wide range of applications; however, however, the nature of their optical properties is not yet fully understood due to the difficulty of synthesis of singlephase nanoparticles. In this article we describe the features of the synthesis of single-phase particles ...
Added: May 14, 2026
Pilé I., Deng Y., Shchur L., / Series arXiv "math". 2026. No. 2604.10254.
We investigate the spatial overlap of successive spin configurations in Markov chain Monte Carlo simulations using the local Metropolis algorithm and the Svendsen-Wang and Wolff cluster algorithms. We examine the dynamics of these algorithms for two models in different universality classes: the Ising model and the Potts model with three components. The overlap of two ...
Added: April 20, 2026
Samsonova E. S., Zheltukhin V. S., Shemakhin A.Y, et al., High Energy Chemistry 2024 Vol. 58 No. Suppl. 3 P. S393–S399
A two-dimensional axisymmetric plasma model of a radio frequency induction discharge of low pressure (13–133 Pa) with gas blowing is presented. The model includes the Navier−Stokes equations, the continuity equations for ions, electrons, and metastable atoms, the equations for the conservation of energy of electrons and atoms in the ground state, and the Maxwell equations ...
Added: February 26, 2026
Abdullin I. S., Zheltukhin V. S., A. Yu. Shemakhin, Journal of Engineering Physics and Thermophysics 2024 Vol. 97 No. 2 P. 480–493
A self-consistent end-to-end model defining a radio-frequency inductive jet discharge of lowered pressure (13.3–133 Pa) in an undisturbed gas flow and in the presence of a solid body has been proposed. The model comprises three interrelated submodels defining the parts of such a discharge, participating in its interaction with the material treated: the plasma jet, ...
Added: February 26, 2026
Урюпин И. В., Sukharev A., Vlasenko A., Информационные технологии и вычислительные системы 2023 № 3 С. 79–92
Transportation systems including air transportation play one of the most important roles in the economic and social development of any country. The effectiveness of the quality of control of such complex systems can be assessed according to various criteria, from the cost of developing infrastructure to the degree of satisfaction of the population with transport. ...
Added: February 24, 2026
Урюпин И. В., Vlasenko A., Экономика и математические методы 2024 Т. 60 № 2 С. 92–104
At present, in an unstable geopolitical situation, one of the most important tasks for the Russian Federation is the creation of advanced domestic aircraft that will not be inferior to its foreign counterparts. The cost of operating is the main criterion in the design of a new aircraft to ensure competitiveness in air transport systems. ...
Added: February 24, 2026
Урюпин И. В., Vlasenko A., Sukharev A., Экономика и математические методы 2025 Т. 61 № 4 С. 73–85
At present development of advanced civil aircraft is one of the key priorities in Russia. To become commercially successful advanced civil aircraft should provide competitive lifecycle costs. Accordingly, it requires balancing operational expenses and consumer-acceptable pricing during an aircraft design phase. However, price evaluation of a prospective aircraft with the analog method or the income ...
Added: February 24, 2026
Akaev A., Давыдова О. И., Korotayev A., Философия и общество 2025 № 4(117) С. 5–46
This article presents a comprehensive macroeconomic analysis of countries grouped into civilizational clusters based on a cultural-historical approach. The object of the study is the macroeconomic dynamics of states in the context of civilizational differences, and the subject is the model-based assessment and forecast of GDP growth rates for the period up to 2050. The ...
Added: February 24, 2026
Nizomutdinov B., Olga G. Filatova, , in: Proceedings of the 2025 Communication Strategies in Digital Society Seminar (2025 ComSDS), 9 April 2025.: IEEE, 2025. P. 248–253.
The modern development of urban digital services greatly simplifies the interaction of citizens and authorities, making it urgent to find new approaches to analyze their effectiveness. The study examined user reviews of the Unified Map of St. Petersburg mobile application as a data source for evaluating the social effectiveness of electronic services. The main hypothesis ...
Added: January 13, 2026
A. V. Titova, S. D. Korolkov, V. V. Izmodenov, Lobachevskii Journal of Mathematics 2025 Vol. 46 No. 9 P. 4526–4533
The stability of the heliopause, the tangential discontinuity separating the solar wind from the interstellar medium, is influenced by various processes, including the Kelvin–Helmholtz instability. This study investigates the role of charge exchange collisions between protons and hydrogen (H) atoms in reduction of the Kelvin–Helmholtz growth rate at the heliopause. Using a two-dimensional gasdynamic model ...
Added: January 12, 2026
Kagan M., Silkin V. M., Efremov D. V., / Series arXiv "math". 2024. No. 2411.12836.
In this study, we analyze the dielectric function of high-Tc cuprates as a function of doping level, taking into account the full energy band dispersion within the CuO2 monolayer. In addition to the conventional two-dimensional (2D) gapless plasmon mode, our findings reveal the existence of three anomalous branches within the plasmon spectrum. Two of these branches ...
Added: November 27, 2024
Influence of anisotropy on the study of critical behavior of spin models by machine learning methods
Sukhoverkhova D., Shchur L., / Series arXiv "math". 2024. No. 2410.14523.
In this paper, we applied a deep neural network to study the issue of knowledge transferability between statistical mechanics models. The following computer experiment was conducted. A convolutional neural network was trained to solve the problem of binary classification of snapshots of the Ising model's spin configuration on a two-dimensional lattice. During testing, snapshots of ...
Added: October 21, 2024
Болдырев К. А., Glushak A., Pisarev V. et al., Радиоактивные отходы 2024 № 3 С. 83–95
This article overviews global and Russian atomistic modelling experience in exploring the properties of clay and cement-based materials for the long-term safety assessment of high-level waste (HLW) repositories. It explains the general concept of molecular dynamics simulation providing some case studies solved based on it. It discusses the accuracy of the calculated parameters and coefficients, ...
Added: September 30, 2024
Mozolenko V., Fadeeva Marina, Shchur L., / Series arXiv "math". 2024. No. 2405.10865.
The development of new algorithms for simulations in physics is as important as the development of new analytical methods. In this paper we present a comparison of the recently developed microcanonical population annealing (MCPA) algorithm with the rather mature Wang-Landau algorithm. The comparison is performed on two cases of the Potts model exhibiting a first ...
Added: May 20, 2024
Kagan M., Аксёнов С. В., / Series Research Square "Research Suqare". 2024. No. 1.
We study different resonances (first of all of the Fano type) in the interference device formed by the Aharonov-Bohm ring with superconducting (SC) wire in the topologically nontrivial state playing a role of a bridge between top and bottom arms. We analyze Majorana modes on the ends of the SC wire and show that the collapse of the ...
Added: April 10, 2024
Alexandrov A. E., S. P. Borisov, Bunina L. V. et al., Российский технологический журнал 2023 Vol. 11 No. 3 P. 56–69
Objectives. The wear monitoring of metal structural elements of power plants-in particular, pipelines of nuclear power plants-is an essential means of ensuring safety during their operation. Monitoring the state of the pipeline by direct inspection requires a considerable amount of labor, as well as, in some cases, the suspension of power plant operation. In order ...
Added: March 21, 2024
IEEE, 2022.
This collection of scientific papers contains articles written based on reports given at the conference "4th International Conference on Control Systems, Mathematical Modeling, Automation and Energy Efficiency (SUMMA)". This conference took place in Lipetsk (Russia) on November 9-11, 2022.
The articles cover a wide range of topics corresponding to the following topics:
I. Industrial Applied Mathematics and ...
Added: February 15, 2024
IEEE, 2023.
Added: February 14, 2024
Ребров Я. В., Glazkov V., Murtazoev A. F. et al., / Series cond-mat "arxiv.org". 2023.
Nabokoite family compounds ACu7(TeO4)(SO4)5Cl (A=Na, K, Cs, Rb) are one of the candidates for the evasive spin-liquid state predicted for highly-frustrated square kagome lattice (SKL). Their magnetic subsystem includes SKL layers decorated by additional copper ions. All members of this family are characterized by quite high Curie-Weiss temperatures (∼80−200 K), but magnetic ordering was reported ...
Added: January 29, 2024
Урюпин И. В., Sukharev A., Власенко А. О., Информационные технологии и вычислительные системы 2023 № 3 С. 79–92
Transportation systems including air transportation play one of the most important roles in the economic and social development of any country. The effectiveness of the quality of control of such complex systems can be assessed according to various criteria, from the cost of developing infrastructure to the degree of satisfaction of the population with transport. ...
Added: January 12, 2024
Springer, 2023.
This volume gathers together selected peer-reviewed works presented at the BIOMAT 2022 International Symposium, which was virtually held on November 7-11, 2022, with an organization staff based in Rio de Janeiro, Brazil.
Topics touched on in this volume include infection spread in a population described by an agent-based approach; the study of gene essentiality via network-based ...
Added: November 7, 2023
Akaev A., Malkov S., Bilyuga S. et al., , in: Reconsidering the Limits to Growth. A Report to the Russian Association of the Club of Rome.: Springer, 2023. P. 253–307.
Akaev et al. outline their methodological approach to mathematical modeling of social self-organization and historical dynamics, which is used in the study of processes occurring in the world and in forecasting further world development. They describe basic equations (in the demographic, ecological, economic, technological, social, and political spheres) and the order of their use in ...
Added: October 5, 2023