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19th International Asian School-Seminar on Optimization Problems of Complex Systems, OPCS 2023

作者： Petrakova, Viktoriya Krivorotko, Olga Institute of Computational Modeling Sb Ras Department of Computational Mathematics Krasnoyarsk Russia International Mathematical Center Sobolev Institute of Mathematics Sb Ras Novosibirsk Russia

ISBN: (纸本)9798350331134

To describe the epidemic outbreak, we divide the entire population into five groups: susceptible to the virus (S), active infected (I), immune after vaccination or disease (R), vaccinated but not yet immune (V), and deceased (D), whose dynamics is described by SIR-type models and relies on the mass balance law. The population is considered rational and agents tend to choose isolation and vaccination strategies based on their own benefit, leading to an optimal control model. Such dynamic are described by mean field game (MFG) approach. A number of epidemiological scenarios have been constructed and computational results were compared with statistical data in Krasnoyarsk region for one month in 2022 to estimate the epidemiological situation in the region under consideration. MFG approach allows to take into account the heterogeneity of the population, which leads to the fact that the epidemiological MFG models are a kind of layer between simple differential SIR models and computationally complex agent based models. © 2023 IEEE.

关键词： COVID-19

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Organization of Storage and Processing of Experimental Results from the Continuous Process of Styrene-Butadiene Copolymerization Using Databases

Organization of Storage and Processing of Experimental Resul...

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2025 International Russian Smart Industry Conference, SmartIndustryCon 2025

作者： Mikhailova, Tatiana Mikhailov, Vladimir Mustafina, Svetlana Ufa University of Science and Technology Department of Mathematical and Computer Modeling Ufa Russia Institute of Computational Mathematics and Information Technologies Kazan Federal University Kazan Russia

ISBN: (纸本)9798331511241

The article presents an approach to storing and processing the results of industrial, laboratory, and computational experiments based on databases. The approach is presented on the example of the process of copolymerization of butadiene with styrene, which proceeds continuously in a cascade of series-connected ideal mixing reactors. A conceptual and logical database model of the industrial process under study has been created. The constructed structure can be adapted for other copolymerization processes, depending on the type of process, its formulation, and the process flow conditions. The presented physical model is implemented as a database and has been tested in the Microsoft SQL Server environment. © 2025 IEEE.

关键词： Data reduction

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Artificial neural network model of non-Darcy MHD Sutterby hybrid nanofluid flow over a curved permeable surface:Solar energy applications

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Propulsion and Power Research 2023年第3期12卷 410-427页

作者： Shaik Jakeer Maduru Lakshmi Rupa Seethi Reddy Reddisekhar Reddy A.M.Rashad Centre for Computational Modeling Chennai Institute of TechnologyChennai 600069India Department of Mathematics S.A.S.Vellore Institute of TechnologyVellore 632014India Department of Mathematics Koneru Lakshmaiah Education FoundationBowrampetHyderabad 500043TelanganaIndia Department of Mathematics Aswan UniversityFaculty of ScienceAswan 81528Egypt

The conversion of solar radiation to thermal energy has recently much interest as the requirement for renewable heat and power *** to their enhanced ability to promote heat transmission,nanofluids can significantly improve solar-thermal systems’*** section aims to study the heat transfer behavior of the Sutterby hybrid nanofluid flow of magnetohydrodynamics in the presence of a non-uniform heat source/sink and linear thermal radiation over a non-Darcy curved permeable surface.A novel implementation of an intelligent numerical computing solver based on multi-layer perceptron(MLP)feed-forward back-propagation artificial neural network(ANN)with the Levenberg-Marquard algorithm is provided in the current *** were gathered for the ANN model’s testing,certification,and *** mathematical equations are nonlinear,which are resolved for velocity,the temperature in addition to the skin friction coefficient,and the rate of heat transfer by using the bvp4c with MATLAB *** ANN model selects data,constructs and trains a network,then evaluates its efficacy via mean square *** illustrate the impact of a wide range of physical factors on variables,including pressure,velocity,and *** the entire study,the thermal energy improved by the SiO2(silicon dioxide)-Au(gold)hybrid nanofluid than the SiO2-TiO2(titanium dioxide)hybrid *** higher internal heat generation/absorption parameter values increase the temperature.

关键词： ANN model Sutterby hybrid nanofluid Magnetic field Non-DarcyForchheimer Curved surface Radiation

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Review of the Mean Field Models for Predicting the Spread of Viral Infections

Review of the Mean Field Models for Predicting the Spread of...

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2023 IEEE Ural-Siberian Conference on computational Technologies in Cognitive Science, Genomics and Biomedicine, CSGB 2023

作者： Petrakova, Viktoriya Krivorotko, Olga Neverov, Andrei Institute of Computational Modeling Sb Ras Department of Computational Mathematics Krasnoyarsk Russia Sobolev Institute of Mathematics Sb Ras Department of Applied Inverse Problems Novosibirsk Russia Sobolev Institute of Mathematics Sb Ras International Mathematical Center Novosibirsk Russia

ISBN: (纸本)9798350307979

Models for the dynamics and control of disease spread are now developing rapidly and play a central role in making decisions about the introduction of various antiviral measures. One of the approaches to solving such problems may be the use of mean field models, which, on the one hand, allow to take into account some stochastic processes occurring in the population and, on the other hand, are expressed in the form of systems with a small number of equations, the solution of which does not require large computing power. This work is devoted to a review of mean field models now used to solve epidemiological problems, as well as a comparison of four specific approaches that can be formulated within the framework of mean field theory. © 2023 IEEE.

关键词： Computing power

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Analysis of an epidemiological model with age of infection, vaccination, quarantine and asymptomatic transmission

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Journal of the Franklin Institute 2023年第1期360卷 657-692页

作者： Li, Chin-Lung Li, Chun-Hsien Cheng, Chang-Yuan Institute of Computational and Modeling Science National Tsing Hua University Hsinchu30013 Taiwan Department of Mathematics National Kaohsiung Normal University Kaohsiung82444 Taiwan Department of Applied Mathematics National Pingtung University No. 4-18 Minsheng Rd. Pingtung City Pingtung90003 Taiwan

In this study, we considered both control strategies -vaccination and quarantine- to solve an epidemiological problem. We used the SVIRS model as our baseline, to further classify infected individuals into classes according to them being symptomatic/asymptomatic and quarantined/non-quarantined. The age since infection is also relevant to describe the population dynamics by detailed features, among which, the age-specific quarantine rate poses some mathematical challenges since the possibility of an infected individual being quarantined exists at any age of infection. Firstly, we provided the model's well-posedness property, and formulated the basic reproduction number R0 to determine whether the disease dies out or persists. Secondly, we demonstrated how backward bifurcation occurs in the proposed model under a complicated criterion, and explored it to observe the effects of certain parameters on the dynamics. We also investigated, as a special case, the global convergence to an endemic equilibrium using the Lyapunov functionals approach. We conducted some numerical simulations to illustrate the theoretical results and bi-stability due to the occurrence of backward bifurcation. © 2022 The Franklin Institute

关键词： Cell proliferation

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Processing of Experimental Results Using Databases on the Example of the Batch Process of Isoprene Polymerization 5

Processing of Experimental Results Using Databases on the Ex...

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5th International Conference on Control Systems, Mathematical modeling, Automation and Energy Efficiency, SUMMA 2023

作者： Mikhailova, Tatiana Mustafin, Ilnur Mikhailov, Vladimir Miftakhov, Eldar Mustafina, Svetlana Ufa University of Science and Technology Department of Mathematical Modeling Ufa Russia Kazan Federal University Institute of Computational Mathematics and Information Technologies Kazan Russia

ISBN: (纸本)9798350309126

This article presents an approach to organizing a database for storing and processing the results of experiments on the polymerization of isoprene using microheterogeneous catalytic systems in a batch mode. The proposed approach can be applied both to work with production data and with the results of computational experiments. The implementation of this approach will automate the process of recording data into a database, which will greatly facilitate the structuring of information. As an example, the work presents the results of a computational experiment on the polymerization of isoprene in a reactor in the presence of a titanium-containing catalyst system. © 2023 IEEE.

关键词： Database systems

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Entropy generation analysis of couple stress Casson fluid flow through non-permeable stretching channel

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The European Physical Journal Special Topics 2025年 1-20页

作者： Jat, Kavita Sharma, Kalpna Choudhary, Prasun Soni, Pooja Department of Mathematics and Statistics Manipal University Jaipur Jaipur India Centre for Computational Modeling Chennai Institute of Technology Chennai India

Channel flow is an important component of Earth's hydrological cycle, supporting human societies, ecosystems and the overall functioning of the planet. Its management and conservation is essential for sustaining water resources and maintaining the health of aquatic ecosystems. The current article demonstrates the utilisation of the semi-analytical differential transform method. The Casson fluid, incorporating a couple stress term, was utilised in flow analysis to lessen entropy formation. The convection was modelled linearly alongside heat radiation within the context of Darcy–Forchheimer flow. The governing equation of the flow, along with the energy equation, was reduced into highly nonlinear ordinary differential equations by similarity transformations. Key variables of the current article such as Bejan number, thermal radiation parameters, Forchheimer number, Casson fluid parameter, skin friction coefficient, heat transfer rates and their effects were noticed. Entropy generation number improves with enhanced inputs of porosity medium parameter while it goes to down with Casson fluid parameter. Temperature profiles are demonstrating improving nature with larger data of Forchheimer and Brinkman number.

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Interpolatory model reduction of dynamical systems with root mean squared error

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IFAC-PapersOnLine 2025年第1期59卷 385-390页

作者： Sean Reiter Steffen W.R. Werner Department of Mathematics Virginia Tech Blacksburg VA 24061 USA Department of Mathematics and Division of Computational Modeling and Data Analytics Academy of Data Science Virginia Tech Blacksburg VA 24061 USA

The root mean squared error is an important measure used in a variety of applications like structural dynamics and acoustics to model averaged deviations from standard behavior. For large-scale systems, simulations of this quantity quickly become computationally prohibitive. Model order reduction techniques resolve this issue via the construction of surrogate models that emulate the root mean squared error measure using an intermediate linear system. However, classical approaches require a large number of system outputs, which is disadvantageous in the design of reduced-order models. In this work, we consider directly the root mean squared error as the quantity of interest using the concept of quadratic-output models and propose several new model reduction techniques for the construction of appropriate surrogates. Numerical tests are performed on a model of a plate with tuned vibration absorbers.

关键词： model order reduction root mean squared error rational interpolation quadratic terms nonlinear systems

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Semi-analytical finite element method applied for characterizing micropolar fibrous composites

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Applied mathematics and Mechanics(English Edition) 2024年第12期45卷 2147-2164页

作者： J.A.OTERO Y.ESPINOSA-ALMEYDA R.RODRIGUEZ-RAMOS J.MERODIO School of Engineering and Sciences Monterrey Institute of TechnologyEstado de Mexico 52926Mexico Institute of Engineering and Technology Autonomous University of Ciudad JuarezCiudad JuarezChihuahua 32310Mexico Postgraduate Program in Computational Modeling in Science and Technology Federal Fluminense UniversityRıo de Janeiro 27255-125Brazil Faculty of Mathematics and Computer Science University of HavanaLa Habana 10400Cuba Department of Mathematics Applied to ICT School of Informatics Systems EngineeringTechnical University of MadridMadrid 28031Spain

A semi-analytical finite element method(SAFEM),based on the two-scale asymptotic homogenization method(AHM)and the finite element method(FEM),is implemented to obtain the effective properties of two-phase fiber-reinforced composites(FRCs).The fibers are periodically distributed and unidirectionally aligned in a homogeneous *** framework addresses the static linear elastic micropolar problem through partial differential equations,subject to boundary conditions and perfect interface contact *** mathematical formulation of the local problems and the effective coefficients are presented by the *** local problems obtained from the AHM are solved by the FEM,which is denoted as the *** numerical results are provided,and the accuracy of the solutions is analyzed,indicating that the formulas and results obtained with the SAFEM may serve as the reference points for validating the outcomes of experimental and numerical computations.

关键词： semi-analytical approach fiber-reinforced composite(FRC) effective property finite element method(FEM) asymptotic homogenization method(AHM) micropolar elasticity

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Localisation of regularised and multiview support vector machine learning

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The Journal of Machine Learning Research 2024年第1期25卷 18029-18075页

作者： Aurelian Gheondea Cankat Tilki Institute of Mathematics of the Romanian Academy Bucharest Romania and Department of Mathematics Bilkent University Bilkent Ankara Turkey Department of Mathematics and Division of Computational Modeling and Data Analytics Virginia Polytechnic Institute and State University Blacksburg Virginia

We prove some representer theorems for a localised version of a semisupervised, manifold regularised and multiview support vector machine learning problem introduced by H.Q. Minh, L. Bazzani, and V. Murino, Journal of Machine Learning Research, 17(2016) 1-72, that involves operator valued positive semidefinite kernels and their reproducing kernel Hilbert spaces. The results concern general cases when convex or nonconvex loss functions and finite or infinite dimensional underlying Hilbert spaces are considered. We show that the general framework allows infinite dimensional Hilbert spaces and nonconvex loss functions for some special cases, in particular in case the loss functions are Gâteaux differentiable. Detailed calculations are provided for the exponential least squares loss functions that lead to systems of partially nonlinear equations for which some Newton's approximation methods based on the interior point method can be used. Some numerical experiments are performed on a toy model that illustrate the tractability of the methods that we propose.

关键词： operator valued reproducing kernel Hilbert spaces manifold co-regularised and multiview learning support vector machine learning loss functions representer theorem

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