1. Principles of mathematical modeling

1. Д10-20/87871

Аханова, М. А. Математическое моделирование : монография / М. А. Аханова, С. В. Овчинникова, А. С. Еропкина ; Министерство науки и высшего образования Российской Федерации, Тюменский индустриальный университет. – Тюмень : ТИУ, 2020. – 159 с. : ил. – Библиогр.: с. 141-143 (37 назв.). – ISBN 978-5-9961-2322-3. – Текст (визуальный) : непосредственный.

Abstract: The monograph summarizes the experience of using mathematical methods and models to solve practical problems in various fields of activity. The monograph is of interest to graduate students, masters, bachelors, the business community and anyone interested in mathematical modeling.

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2. Ж2-20/69563

Бутырский, Е. Ю. Методы моделирования и оценивания случайных величин и процессов : монография / Е. Ю. Бутырский. – Санкт-Петербург : Стратегия будущего, 2020. – 641 с. : ил. – Библиогр.: с. 631-641 (213 назв.). – ISBN 978-5-4268-0054-0. – Текст (визуальный) : непосредственный.

Abstract: The monograph introduces the basics of theory and practice of methods of mathematical research of stochastic systems and processes. It discusses models, methods for describing and forming random events, quantities and processes, as well as methods for their optimal suboptimal estimation. The monograph can be useful for a wide range of specialists in various fields of knowledge dealing with mathematical and statistical modeling in their research, and can also be used in the educational process to conduct both classroom and independent theoretical and practical classes with students and masters of St. Petersburg State University, engaged in the program "Mathematical Modeling" and "Optimal and suboptimal estimation of random processes and systems".

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3. Горлач, Б. А. Математическое моделирование. Построение моделей и численная реализация : учебное пособие для вузов / Б. А. Горлач, В. Г. Шахов. – 4-е изд., стер. – Санкт-Петербург : Лань, 2022. – 292 с. – ISBN 978-5-8114-9551-1. – URL: https://e.lanbook.com/book/200447 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The basics of mathematical modeling and numerical implementation of mathematical models accompanied by examples of problem solving are presented in the volume of the minimum necessary knowledge for engineering education. Examples of solving specific tasks are given. The manual is intended for students studying engineering and economic areas of training.

4. Дифференциальные уравнения и математическое моделирование : межвузовский сборник научных трудов / ответственный редактор С. С. Мамонов. – Рязань : Рязанский государственный университет имени С. А. Есенина, 2021. – 84 с. – ISBN 978-5-907266-55-1. – URL: https://www.elibrary.ru/item.asp?id=46287971 (дата обращения 30.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The collection contains scientific articles on topical problems of the theory of differential equations and mathematical modeling in the following areas: stability of solutions of systems of differential equations, optimal control, periodic and almost periodic solutions, systems with cylindrical phase space, bifurcation of solutions, boundary value problems for partial differential equations, linear and quasi-linear equations, equations of dynamic processes in mechanics, physics, chemistry, natural sciences, sociology, economics, ecology. The results published in the collection are used to study specific mathematical models: frequency phase-locked systems, thermal conductivity equations, parachutist movements, economic systems, chemical reactions, movement of dangerous bodies in near-Earth space, pendulum systems, plasma chemical processes, ecological migration of species, socio-pedagogical interaction. The publication is addressed to researchers, teachers, graduate students and students specializing in differential equations and mathematical modeling.

5. Д10-21/93628

Жучкова, В. В. Математическое моделирование и численная реализация научно-технических задач : монография / В. В. Жучкова, Ю. С. Медведев, И. А. Жучков ; Министерство обороны Российской Федерации, Краснодарское высшее военное авиационное училище летчиков. – Краснодар : Краснодарское высшее военное авиационное училище летчиков, 2021. – 322 с. : ил. – Авт. на тит. л. не указ. – Библиогр.: с. 311-318 (65 назв.). – ISBN 978-5-907264-10-6. – Текст (визуальный) : непосредственный.

Abstract: The monograph is devoted to topical issues of the application of mathematical modeling methods. The monograph examines the idea of the method of mathematical modeling, the requirements for a mathematical model, the main stages of creating a mathematical model. Much attention is paid not only to the construction of a mathematical model, but also the question of setting, researching and solving relevant computational problems is studied in detail; checking the quality of the model in practice. An overview of the main numerical methods is made.

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6. Д10-21/87664

Злобин, С. Н. Математическое моделирование технологических процессов / С. Н. Злобин ; Министерство науки и высшего образования Российской Федерации, Орловский государственный университет имени И. С. Тургенева. – Орёл : ОГУ им. И. С. Тургенева, 2021. – 104 с. : ил. – Библиогр.: с. 104 (5 назв.). – ISBN 978-5-9929-0970-8. – Текст (визуальный) : непосредственный.

Abstract: The textbook contains theoretical information on mathematical modeling of technological processes. The main methods of solving linear programming and dynamic problems are given, as well as examples of solving typical problems and individual tasks for independent solution. It is intended for students studying in the field of training "Design and technological support of machine-building industries", "Design of technological machines and complexes". It can be useful for undergraduates and graduate students studying mathematical modeling.

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7. Д10-21/96227

Кляус, К. М. Численные методы нелинейной оптимизации в задачах математического моделирования. Общая характеристика : монография / К. М. Кляус. – Санкт-Петербург : Изд-во Санкт-Петербургского гос. экономического ун-та, 2021. – 112 с. : ил. – Загл. обл. : Численные методы нелинейной оптимизации в задачах математического моделирования. – Библиогр.: с. 105-107 (42 назв.). – Указ. имен. и предм.: с. 108-112. – ISBN 978-5-7310-5515-4. – Текст (визуальный) : непосредственный.

Abstract: The monograph highlights the issues of setting the problem of nonlinear optimization in relation to mathematical models, provides examples of the application of nonlinear programming methods in models of processes, systems and complex technical objects in economics, astrophysics and energy. Methods of solving problems using Lagrange multipliers, numerical methods of nonlinear optimization with and without restrictions are considered, information about specialized software is provided, as well as a brief history of optimization theory and essays on the life of scientists who worked in this field.

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8. Д10-21/95964

Костин, В. А. Введение в математическое моделирование : учебное пособие / В. А. Костин, Д. В. Костин, С. Л. Царев ; Министерство науки и высшего образования РФ, Воронежский государственный университет. – Воронеж : Издательский дом ВГУ, 2021. – 62 с. : ил. – Библиогр.: с. 59-62. – ISBN 978-5-9273-3192-5. – Текст (визуальный) : непосредственный.

Abstract: The textbook discusses the basic concepts of mathematical modeling, the basic elements of mathematical language and mathematical methods used in mathematical modeling. For students of the specialty 01.03.04 "Applied Mathematics", studying the course "Elements of mathematical modeling".

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9. Лесин, В. В. Основы методов оптимизации : учебное пособие / В. В. Лесин, Ю. П. Лисовец. – 4-е изд., стер. – Санкт-Петербург : Лань, 2022. – 344 с. – ISBN 978-5-8114-1217-4. – URL: https://e.lanbook.com/book/212441 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The book discusses a wide range of mathematical aspects of optimization: mathematical modeling, unconditional minimization in finite-dimensional and infinite-dimensional Hilbert spaces, the basics of discrete minimization and optimal control problems. Considerable attention is paid to the construction of numerical methods for solving optimization problems and the description of algorithms for their implementation. A large number of illustrative illustrations and concrete examples are given.

10. Д10-21/92997

Математика и математическое моделирование : сборник материалов XV Всероссийской молодежной научно-инновационной школы, 12-15 апреля 2021 года / Министерство науки и высшего образования Российской Федерации, Национальный исследовательский ядерный университет "МИФИ", Саровский физико-технический институт – филиал федерального государственного автономного образовательного учреждения высшего образования "Национальный исследовательский ядерный университет "МИФИ" ; ответственный за выпуск – А. Г. Сироткина – Саров : Интерконтакт, 2021. – 366 с. : ил. – Библиогр. в конце ст. – ISBN 978-5-6044528-8-2. – Текст (визуальный) : непосредственный.

Abstract: The collection of materials covers a wide range of issues related to modern methods of mathematical modeling of physical and chemical processes and phenomena, the security of information and technical systems, the use of mathematical methods in economics, sociology and the problem of nonproliferation of nuclear materials and weapons. The works presented in the collection may be of interest to a wide range of specialists.

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11. Д10-22/98464

Методы обработки экспериментальных данных : учебное пособие / С. А. Гордин, А. А. Соснин, И. В. Зайченко, В. Д. Бердоносов ; под общей редакцией С. А. Гордина ; Министерство науки и высшего образования Российской Федерации, Комсомольский-на-Амуре государственный университет. – Комсомольск-на-Амуре : Комсомольский-на-Амуре гос. ун-т, 2022. – 74 с. : ил. – Авт. указ. на обороте тит. л. – Библиогр.: с. 71 (7 назв.). – ISBN 978-5-7765-1501-9. – Текст (визуальный) : непосредственный.

Abstract: The textbook discusses the basics of experiment planning, its conduct and processing of results, as well as the issues of determining the error of the data obtained, the reliability of the results. The mathematical apparatus for obtaining numerical estimates of the experimental results, calculating the error value and reliability of the data obtained as a result of the experiment is given. It is intended for students of the directions 09.04.01 – "Computer Science and computer engineering", 09.04.03 – "Applied computer science", 01.03.04 – "Applied Mathematics", 09.03.01 – "Computer Science and Computer Engineering", 05.13.18 – "Mathematical modeling, numerical methods and software packages".

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12. М/74724/1

Прикладная математика: современные проблемы математики, информатики и моделирования : материалы III всероссийской научно-практической конференции молодых ученых, 21-24 апреля 2021 года / Министерство науки и высшего образования РФ, Кубанский государственный университет, Факультет компьютерных технологий и прикладной математики, Краснодарский центр научно-технической информации. – Краснодар : Краснодарский ЦНТИ – фил. "РЭА" Минэнерго России, 2021 – . – ISBN 978-5-91221-510-0. – Текст : непосредственный.

Т. 1. – 2021. – 349 с. : ил. – Библиогр. в конце ст. – ISBN 978-5-91221-511-7.

Abstract: The reports of the participants of the All-Russian scientific and practical conference of young scientists "Applied Mathematics: modern problems of mathematics, computer science and modeling", held on April 21-24, 2021 at Kuban State University, are presented. For researchers, teachers, graduate students, university students and all persons interested in the problems under consideration.

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13. Ржевский, С. В. Исследование операций : учебное пособие / С. В. Ржевский. – Санкт-Петербург : Лань, 2022. – 480 с. – ISBN 978-5-8114-1480-2. – URL: https://e.lanbook.com/book/213248 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The textbook consistently and systematically describes the basic concepts and methodological principles of the theory of operations research, mathematical methods of single- and multi-criteria optimization (general classification of types of mathematical programming problems, methods of recognition and search for their solutions), elements of duality theory, examples of statements and methods for solving problems of linear, nonlinear, integer, stochastic and dynamic programming, tasks of network planning and inventory management, elements of game theory. The manual corresponds to the modern programs of the academic disciplines "Operations Research", "Mathematical programming" and "Methods of optimal solutions".

14. Сарычев, А. П. Регрессионный анализ динамических систем : монография / А. П. Сарычев. – Москва : ИНФРА-М, 2022. – 229 с. – (Научная мысль). – ISBN 978-5-16-017656-7. – URL: https://znanium.com/catalog/product/1865377 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The monograph presents statistical methods for modeling dynamic systems based on observations of their functioning under conditions of structural uncertainty in terms of the composition of input variables and the degree of statistical dependence between random components in models. Within the framework of the method of group accounting of arguments (MGUA), criteria for the quality of models based on the division of a sample of observations into training and verification subsamples, and criteria for a rolling exam have been developed. The use of the described modeling methods allows us to get deeper into the essence of phenomena and objects in the process of scientific research, allows us to better describe the state and predict the behavior of systems under conditions of structural uncertainty in various applications. The book is intended for specialists in mathematical modeling in various fields of science and practice, multidimensional statistical analysis, as well as for students and postgraduates of the educational directions "applied mathematics", "computer science and cybernetics".

15. Д10-20/77340

Соловьев, И. А. Математическое моделирование случайных явлений. Анализ поведения дисперсии и энтропии : монография / И. А. Соловьев. – Санкт-Петербург : ПОЛИТЕХ-ПРЕСС, 2020. – 194 с. : ил. – Библиогр.: с. 188-194 (98 назв.). – ISBN 978-5-7422-6939-7. – Текст : непосредственный.

Abstract: The monograph is devoted to the mathematical modeling of random phenomena described in deterministic mathematics by differential equations. The aspects of using the universal formula for variance obtained for many random phenomena are considered. The effect of decreasing variance at the initial stage of the development of a random phenomenon was found. This effect provides new opportunities for improving the technology of production processes. the properties of entropy are investigated. allowing to predict the moments of change in the scenario of the development of a random phenomenon. For researchers, engineers, postgraduates and undergraduates.

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16. Д10-21/92946

Тарновский, Д. А. Принципы математического моделирования, общие закономерности научных процессов : монография / Д. А. Тарновский ; Чувашский государственный университет имени И. Н. Ульянова, Адвокатская палата Республики Марий Эл. – Москва : Знание-М, 2021. – 52 с. : ил. – Библиогр.: с. 51-52 (22 назв.). – ISBN 978-5-00187-052-4. – Текст (визуальный) : непосредственный.

Abstract: In the book, a closed space model is proposed and investigated, the structure of the model as a whole is determined, its individual properties are considered. After that, on the basis of the introduced space model, questions from the field of physiology are considered, the human cardiovascular system and the thinking process are described, examples from other fields of knowledge are given for completeness. The paper proposes the principle of constructing a mathematical model. As one of the examples, the model of switching attention between external and internal objects is considered. How is thought formed? What is its nature? What laws does the thinking process obey? These questions of our consciousness remain poorly understood to this day. The study of the thinking process only within the framework of physiology or psychology does not allow us to fully study complex processes. The paper attempts to consider the issues of brain physiology in the context of the model of our space, which in the future will allow us to link the accumulated mathematical apparatus with the study of the processes of physiology in general and the process of thinking in particular.

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17. Д10-20/76652

Юденков, А. В. Математическое моделирование на основе теории потенциала : монография / А. В. Юденков, А. М. Володченков, Л. П. Римская. – Москва : ФИЗМАТЛИТ®, 2020. – 150, [1] с. : ил. – Библиогр.: с. 148-150 (39 назв.). – ISBN 978-5-9221-1868-2. – Текст : непосредственный.

Abstract: The monograph outlines the basic principles and methods of mathematical modeling of physical phenomena and processes. It is shown how mathematical models of various levels and properties are used to solve problems of elasticity theory, description of physical fields and two-dimensional crystals. Potential theory is used to build models. The monograph is intended for specialists in mathematical modeling, graduate students, masters and bachelors of senior courses of physical and mathematical fields of training.

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2. Application of mathematical modeling in natural sciences

18. Д10-21/97642

Антипина, Е. В. Генетические методы поиска оптимального управления на основе графоаналитического моделирования химической реакции : монография / Е. В. Антипина, С. А. Мустафина, А. Ф. Антипин ; Министерство науки и высшего образования РФ, Башкирский государственный университет. – Уфа :БашГАУ, 2021. – 98 с. : ил. – Библиогр.: с. 96-98 (33 назв.). – ISBN 978-5-7477-5424-9. – Текст (визуальный) : непосредственный.

Abstract: The monograph is devoted to solving the problems of finding optimal control of a chemical reaction based on a graph-theoretic approach and genetic algorithms. The paper contains a consistent and systematic presentation of the basic concepts and methods of graph theory and genetic algorithms, their application to solving the problem of finding the optimal temperature regime of a chemical reaction and the problem of planning a chemical experiment. Based on the formulated algorithms, the optimal operating parameters of industrially significant processes are determined. The monograph is intended for students, postgraduates and teachers of natural sciences, as well as specialists in the field of mathematical modeling of physico-chemical processes.

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19. Д10-21/97093

Бурда, А. Г. Математическое моделирование и анализ данных в агрономии : учебное пособие / А. Г. Бурда, С. Н. Косников ; Министерство сельского хозяйства Российской Федерации, Кубанский государственный аграрный университет имени И. Т. Трубилина. – Краснодар :КубГАУ, 2021. – 172 с. : ил. – Библиогр.: с. 157-170 (128 назв.). – ISBN 978-5-907516-18-2. – Текст (визуальный) : непосредственный.

Abstract: The textbook substantiates the methodology and tasks of mathematical modeling and data analysis in agronomy, highlights the key provisions of the study of processes and phenomena based on the use of mathematical apparatus; defines the role of mathematical methods in agroanalytics. It is intended for students of the academic master's degree program in the direction of "Agronomy", the direction of "Breeding and seed production".

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20. Васильева, Н. В. Математические модели в управлении производством меди: идеи, методы, примеры : монография / Н. В. Васильева. – Москва : ИНФРА-М, 2020. – 194 с. – (Научная мысль). – ISBN 978-5-16-014986-8. – URL: https://znanium.com/catalog/product/1014071 (дата обращения: 25.07.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The current state of the issues of modeling metallurgical processes is described, typical mathematical models used in the description of copper production processes and their classification are considered. A system of methods and models in the field of mathematical modeling of technological processes is described, including balance, statistical, optimization models, forecasting models and intelligent models. For specific technological processes, the following have been developed: a balance model of the pyrometallurgical cycle of copper production, a polynomial model for predicting the composition of matte based on a passive experiment, an intelligent model for quantifying the copper content in matte based on fuzzy logic. It is of interest to students, postgraduates, teachers of technical universities, engineering and scientific workers who use mathematical methods in processing data from laboratory and production experiments.

21. Венатовская, Л. А. Исследование колебаний упругих тел методами компьютерной алгебры : учебное пособие / Л. А. Венатовская. – Санкт-Петербург : Лань, 2022.–32 с.–ISBN 978-5-8114-3301-8. –URL: https://e.lanbook.com/book/212996 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The textbook briefly outlines the basics of vibrations of elastic systems and presents tasks that students perform using computer algebra methods. Particular attention is paid to the problems of obtaining Euler-Lagrange equations for mechanical systems with continuously distributed parameters, linearization of Euler-Lagrange equations in the vicinity of equilibrium positions, numerical integration of linear and nonlinear equations of motion under given boundary conditions, performed in the Mathematica package. The materials presented in the manual are used in the courses "Computer modeling and application software packages" (ComputerModelingandAppliedSoftware) and "Mathematical software Packages" (MathematicalSoftwarePackages), read for masters studying at St. Petersburg State University in the field of "Mechanics and Mathematical Modeling".

22. Высоцкий, Л. И. Математическое и физическое моделирование потенциальных течений жидкости : учебное пособие / Л. И. Высоцкий, Г. Р. Коперник, И. С. Высоцкий. – 2-е изд., испр. – Санкт-Петербург : Лань, 2022. – 64 с. – ISBN 978-5-8114-1554-0. – URL: https://e.lanbook.com/book/211523 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The textbook will be useful to students when studying the section of the course "Fluid Mechanics" devoted to the consideration of a model fluid flow, called potential or vortex-free. A method is proposed for visual reproduction and construction of the outlines of current lines and equipotentials using a PC and the output of relevant information in the form of a hydrodynamic grid on the display screen. It is intended for students of technical areas of training and specialties, it can be useful for graduate students and teachers.

23. Д10-21/90589

Вычислительная гидромеханика пласта с применением прикладных программ tNavigator и MathCad : монография / Ж. М. Колев, Е. И. Мамчистова, М. И. Забоева [и др.] ; Министерство науки и высшего образования Российской Федерации, Тюменский индустриальный университет. – Тюмень : ТИУ, 2021. – 219 с. : ил. – Авт. на обл. не указ. – Библиогр.: с. 195-196 (19 назв.). – ISBN 978-5-9961-2554-8. – Текст (визуальный) : непосредственный.

Abstract: The monograph contains scientific and methodological, practical information, as well as examples of software implementation of mathematical models. The way from the derivation of calculation formulas from physical laws to numerical methods of solving the problem and implementation in specialized application software products is shown. The monograph is intended for masters and postgraduates of higher educational institutions of oil and gas profile. It will be useful to specialists and students of professional retraining and advanced training courses, it will be useful when mastering educational material in the disciplines and special courses "Mathematical modeling in the tasks of the oil and gas industry", "Numerical methods", "Modeling of the development of oil and gas fields".

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24. Гумеров, А. М. Математическое моделирование химико-технологических процессов : учебное пособие / А. М. Гумеров. – 2-е изд., перераб. – Санкт-Петербург : Лань, 2022. – 176 с. – ISBN 978-5-8114-1533-5. – URL: https://e.lanbook.com/book/211445 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The main approaches to the construction of mathematical models and the stages of mathematical modeling are described. Mathematical models of the structure of flows in chemical apparatuses, heat and mass transfer, as well as the kinetics of chemical reactions are considered in detail. As an example, the construction of models of a chemical reactor is given. A probabilistic approach to mathematical modeling is presented, various regression equations are considered, as well as methods of experiment planning. Most theoretical questions are accompanied by the solution of concrete examples using modern means. Intended for students of technological specialties, it can be useful for graduate students and teachers.

25. Д10-21/89310

Емельянов, В. М. Математическое моделирование многомерной идентификации наночастиц серебра и золота на поверхности текстильных материалов : монография / В. М. Емельянов, Т. А. Добровольская, В. В. Емельянов ; Министерство науки и высшего образования Российской Федерации, Юго-Западный государственный университет (ЮЗГУ). – Курск : Юго-Западный гос. ун-т, 2021. – 107 с. : ил. – Библиогр.: с. 101-107 (51 назв.). – ISBN 978-5-7681-1517-3. – Текст (визуальный) : непосредственный.

Abstract: The methods of mathematical modeling of the detection of silver and gold nanoparticles on the surface of nanostructured biological materials by the components of Raman spectrograms in the conditions of information uncertainty are described. It is intended for graduate students, researchers of higher education, specialists of light industry enterprises, as well as teachers and students of higher educational institutions studying in the field of production of light industry products.

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26. Д10-22/97811

Золотаревская, Д. И. Закономерности деформирования эластичных колес мобильных машин. Математическое моделирование : монография / Д. И. Золотаревская. – Москва :Филинъ, 2022. – 189 с. : ил. – Библиогр.: с. 179-189 (143 назв.). – ISBN 978-5-9216-0301-1. – Текст (визуальный) : непосредственный.

Abstract: The book presents the results of theoretical and experimental studies of the deformation patterns of elastic wheels of cars and other mobile machines and mathematical modeling of the dependencies between stresses and deformations in the tires of these wheels. The equations obtained in a number of papers describing these dependencies without taking into account the time factor, as well as taking into account this factor (rheological equations) are given. The interrelations between different types of mathematical models of elastic wheel deformation patterns (integral equations of the nonlinear hereditary theory of Boltzmann-Volterra viscoelasticity and equations without taking into account the time factor), as well as between different types of these mathematical models (integral and differential equations) are revealed. This work is intended for researchers involved in the study of the laws of deformation of elastic wheels, the creation of methods for calculating the indicators of their stress-strain state, machine vibrations.

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27. Ж2-20/69719

Исследования и математическое моделирование явлений, связанных с развитием и воздействием взрывов : монография / В. А. Андрущенко, Е. Л. Ступицкий, Д. С. Моисеева. [и др.] ; Российская академия наук, Институт автоматизации проектирования. – Москва : РАН, 2020. – 191 с. : ил. – Библиогр.: с. 177-191 (286 назв.). – ISBN 978-5-907036-92-5. – Текст (визуальный) : непосредственный.

Abstract: In this monograph, medium- and macroscale explosive processes at all altitudes in the Earth's atmosphere and in near space are investigated on the basis of physical and mathematical modeling. This study was carried out using analytical and numerical methods for a wide range of tasks related to both natural phenomena (explosive volcanic eruptions, explosive destruction of cosmic bodies in the atmosphere) and related to human activity (conducting large-scale explosive geophysical experiments in the ionosphere, developing ways to reflect meteoroids colliding with the Earth by means of nuclear missile weapons, etc.). etc.). A significant place in the monograph is devoted to laboratory physical modeling using laser plasma of the most complex physical processes accompanying an explosion. The material of the book is based mainly on the published works of the authors.

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28. Ар21-1201

Кузнецов, М. Б. Математическое моделирование роста опухоли под влиянием антиангиогенной терапии и радиотерапии : специальность 03.01.09 «Математическая биология, биоинформатика» : автореферат диссертации на соискание ученой степени кандидата физико-математических наук / Кузнецов Максим Борисович ; Московский государственный университет имени М. В. Ломоносова. – Москва, 2021. – 27 с. : ил. – Библиогр.: с. 26-27 (13 назв.). – Текст : непосредственный.

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29. Д10-20/82631

Литвинов, В. Л. Математическое моделирование и исследование резонансных свойств механических объектов с изменяющейся границей / В. Л. Литвинов, В. Н. Анисимов ; Министерство науки и высшего образования РФ, Самарский государственный технический университет, Кафедра "Общетеоретические дисциплины". – Самара : Самарский гос. технический ун-т, 2020. – 100 с. : ил. – Библиогр.: с. 79-99 (165 назв.). – ISBN 978-5-7964-2253-3. – Текст (визуальный) : непосредственный.

Abstract: An approximate analytical method for constructing solutions of integro-differential equations is generalized to a wider class of problems with conditions on moving boundaries, which allows taking into account the effect of the resistance forces of the medium, bending stiffness and substrate stiffness on the mechanical system. Asymptotic methods for constructing solutions of homogeneous integro-differential equations and systems of ordinary differential equations with varying parameters are considered. Software has been developed for the study of model boundary value problems and analysis of the calculation of resonant phenomena in mechanical systems with moving boundaries. The publication is intended for researchers, engineers, postgraduates and doctoral students involved in mathematical modeling of the study of vibrations of mechanical systems with moving boundaries.

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30. Мазо, А. Б. Суперэлементы. Моделирование разработки нефтяных месторождений : монография / А. Б. Мазо, К. А. Поташев. – Москва : ИНФРА-М, 2022. – 220 с. – (Научная мысль). – ISBN 978-5-16-017150-0. – URL: https://znanium.com/catalog/product/1093109 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The monograph outlines the basics of a superelement method for modeling two-phase filtration flows occurring during the development of an oil reservoir. Modeling is carried out in two stages in order to reduce the spatial and temporal scales of the processes under study. At the first stage of modeling the development of an oil deposit, a long-term (for decades) model of global flooding dynamics is built on a superelement calculation grid with a step equal to the average distance between wells (200-500 m). Local filtration flows caused by the action of geological and technical methods of impact on the formation are modeled at the second stage using special mathematical models using high-resolution computational grids with details in space from 0.1 to 10 m and in time from 102 to 105 s. The results of applying the above models to solving practical problems of oil reservoir development are presented. Particular attention is paid to the issue of transferring the values of the filtration-capacitance properties of the reservoir from the detailed grid of the geological model to a larger grid of the filtration model. It is intended for specialists in the field of mathematical and numerical modeling of filtration flows occurring during the development of oil fields, using traditional commercial software packages for this, as well as developing their own software.

31. Д10-21/97884

Макаров, А. А. Математическое моделирование термического разложения древесины в режиме механической абляции : монография / А. А. Макаров, Р. М. Хазиахмедова ; Министерство науки и высшего образования Российской Федерации, Казанский национальный исследовательский технологический университет. – Казань : Школа, 2021. – 81 с. : ил. – Библиогр.: с. 78-81 (40 назв.). – ISBN 978-5-00162-459-2. – Текст (визуальный) : непосредственный.

Abstract: The monograph presents an analysis of the current state of the scientific foundations of thermal decomposition of wood in the mode of rapid ablative pyrolysis, the main assumptions of the process of thermal decomposition of wood in the ablative mode are formulated. A mathematical model of thermal decomposition of wood has been developed, as well as a calculation algorithm and a modeling program for a mathematical model of thermal decomposition of wood in the mode of rapid ablative pyrolysis.

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32. Ар21-7481

Маковеева, Е. В. Математическое моделирование роста кристаллов на промежуточной и заключительной стадиях фазового превращения : специальность 1.3.14. «Теплофизика и теоретическая теплотехника» : автореферат диссертации на соискание ученой степени кандидата физико-математических наук / Маковеева Евгения Васильевна ; Уральский федеральный университет имени первого Президента России Б. Н. Ельцина. – Екатеринбург, 2021. – 23 с. : ил. – Библиогр.: с. 21-23 (22 назв.). – Текст : непосредственный.

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33. Марков, Ю. Г. Математические модели химических реакций : учебник / Ю. Г. Марков, И. В. Маркова. – Санкт-Петербург : Лань, 2022. – 192 с. – ISBN 978-5-8114-1483-3. – URL: https://e.lanbook.com/book/211436 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The textbook discusses general methods and specific methods of modeling and mathematical research of physico-chemical and biochemical reactions. The methods are based on the use of experience in the application of synergetics, self-organization theory and modern theory of complex systems in biology, mathematics and chemistry. The proposed system of modeling methods corresponds to modern high-performance computing technologies related to the so-called cloud computing (cloud-computing). In our opinion, it is logical to call this knowledge system cloud modeling. The textbook contains useful recommendations for the productive use of mathematical methods in chemistry and biochemistry, in the course of joint work of mathematicians, chemists and biologists. A feature of this work is a combination of probabilistic and deterministic methods.

34. Математическое моделирование гидродинамики и теплообмена в движущихся жидкостях : учебное пособие / И. В. Кудинов, В. А. Кудинов, А. В. Еремин, С. В. Колесников. – Санкт-Петербург : Лань, 2022. – 208 с. – ISBN 978-5-8114-1837-4. – URL: https://e.lanbook.com/book/211796 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The issues of constructing mathematical and computer models of pipeline systems for various purposes are considered. Engineering methods for finding solutions to problems of non-stationary thermal conductivity are described, which allow obtaining effective accurate and approximate analytical solutions. Analytical solutions of heat transfer problems in liquids, including dynamic and thermal boundary layers, have been obtained using the integral heat balance method based on the introduction of a temperature disturbance front and using additional boundary conditions. The results of obtaining and analyzing exact analytical solutions of hyperbolic equations describing the propagation of a hydraulic wave with a finite velocity are presented. The book can be useful for scientific and technical workers specializing in mathematics, thermophysics, as well as for teachers and students of technical universities.

35. Ж2-21/70702

Математическое моделирование для принятия решений по разработке месторождений монография / Т. А. Поспелова, С. В. Степанов, А. В. Стрекалов, С. В. Соколов. – Москва : Недра, 2021. – 427 с. : ил. – Библиогр. в конце гл. – ISBN 978-5-8365-0508-0. – Текст (визуальный) : непосредственный.

Abstract: The monograph discusses topical issues related to mathematical modeling as a basis for decision-making on the development of hydrocarbon deposits. The material of the book is compiled based on the practical experience of the authors obtained in solving various problems of designing and supporting the development of deposits. At the same time, the emphasis is placed on mathematical models that are alternative to the "traditional" 3D hydrodynamic modeling. Some of these models were developed directly by the authors. Special attention is paid to the problem of the quality of mathematical modeling. Chapter 6 is devoted to mathematical modeling of field development using artificial neural networks. The book is intended for specialists in the field of mathematical modeling working in specialized organizations, and can be useful for researchers, graduate students and students studying in specialties related to field development, mathematical modeling and underground hydromechanics.

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36. Математическое моделирование и исследование устойчивости биологических сообществ : учебное пособие / А. Ю. Александров, А. В. Платонов, В. Н. Старков, Н. А. Степенко. – 3-е изд., стер. – Санкт-Петербург : Лань, 2022. – 272 с. – ISBN 978-5-8114-2022-3. – URL: https://e.lanbook.com/book/209828 дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: This manual outlines the basic principles of constructing mathematical models of population dynamics and methods for analyzing the stability of stationary regimes in these models. Classical continuous models described by systems of ordinary differential equations are studied. Possible ways of developing and generalizing classical approaches based on the use of difference, differential-difference, integral, stochastic and other types of equations are considered. Considerable attention is paid to the tasks of studying the dynamics of populations, taking into account their spatial distribution.

37. Д10-21/99484

Математическое моделирование реологического поведения нелинейных вязкопластических жидкостей с эффектом "отвердевания": Реологические модели. Одномерные течения. Диссипативный разогрев : монография / В. Н. Колодежнов, А. В. Колтаков, А. С. Веретенников, С. С. Капранчиков ; Министерство просвещения Российской Федерации, Воронежский государственный педагогический университет. – Воронеж : Воронежский гос. пед. ун-т, 2021. – 211 с. : ил. – Библиогр.: с. 200-211 (135 назв.). – ISBN 978-5-00044-845-8. – Текст (визуальный) : непосредственный.

Abstract: The monograph discusses the issues of mathematical modeling of the mechanical behavior of viscoplastic liquids such as suspensions, which demonstrate the manifestation of the "hardening" effect. For such liquids, rheological models of a combined type are proposed, the peculiarity of which is as follows. The dependence of the tangential stress on the shear rate at certain ranges of its change is described by fairly simple power-type functions by analogy with the spline interpolation technique. At the same time, the continuity of the final dependence is ensured by the conjugation of the values of these functions at the boundaries of adjacent ranges of the shear rate change. Algorithms for determining the parameters of such models based on the processing of the corresponding sets of experimental data are considered. Solutions of some problems on the flow and convective heat transfer of liquids of the type under consideration in channels of various cross-sections are presented.

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38. Математическое моделирование физико-химических процессов в среде ComsolMultiphysics5.2 : учебное пособие / А. В. Коваленко, А. М. Узденова, М. Х. Уртенов, В. В. Никоненко. – Санкт-Петербург : Лань, 2022. – 228 с. – ISBN 978-5-8114-2512-9. – URL: https://e.lanbook.com/book/209906 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The basics of mathematical modeling of physico-chemical processes using the software environment for modeling scientific and technical problems ComsolMultiphysics 5.2 are described. Modeling of such complex and relevant phenomena as electroconvection, gravitational convection, etc. is considered. A study of both well-known and new models developed by the authors of the manual is being conducted. The book is intended for university students studying in the fields of "Applied Mathematics and Computer Science", "Computer Science and Computer Engineering", as well as for graduate students, teachers and researchers involved in mathematical modeling and membrane electrochemistry.

39. Ар21-2069

Меньшов, Е. Н. Математическое моделирование разделения ферромагнитных суспензий в магнитных полях : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ» : автореферат диссертации на соискание ученой степени доктора технических наук / Меньшов Евгений Николаевич ; Ульяновский государственный технический университет. – Ульяновск, 2021. – 31, [1] с. : ил. – Библиогр. в конце кн. (56 назв.). – Текст : непосредственный.

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40. Д10-21/93608

Методические основы построения, актуализации и оценки качества цифровых гидродинамических моделей месторождений с залежами газа : монография / С. А. Кирсанов, Р. Ф. Шарафутдинов, С. И. Грачев, А. С. Самойлов. – Изд. 2-е, перераб. и доп. – Тюмень : Экспресс, 2021. – 195 с. : ил. – Библиогр.: с. 179-189 (74 назв.). – ISBN 978-5-6045192-4-0. – Текст (визуальный) : непосредственный.

Abstract: In the monograph, the object of research is: technologies for creating, evaluating the quality and updating digital hydrodynamic models of hydrocarbon deposits. The purpose of the work is to substantiate methodological approaches at the main stages of hydrodynamic modeling, to the initial information, the choice of software products taking into account the implementation of the technological policy of import substitution, the requirements for assessing the quality of digital hydrodynamic models of hydrocarbon deposits. In the course of the work, the formulation of general requirements for digital hydrodynamic models, the description of the volume of the composition of the necessary initial data when creating digital models of the deposit, the justification and selection of the type of model and software products for its creation, the description of the stages of construction of the filtration model were carried out.

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41. Мошинский, А. И. Математическое моделирование химико-технологических и биотехнологических процессов : учебник / А. И. Мошинский. – Москва : КноРус, 2021. – 335 с. – ISBN 978-5-406-08394-9. – URL: https://book.ru/book/941485 (дата обращения: 05.07.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The processes of chemical transformation, centrifugation, filtration, crystallization, coagulation, extraction, washing and extraction of sediment, capillary impregnation of a porous body, absorption, adsorption, models of biological processes of various types, heat exchange are considered with varying degrees of complexity. Lectures have been tested in the work at the Department of Processes and Devices of Chemical Technology over the past few years. A significant place in them is given to sections related to laboratory work, which allows students to learn how to make mathematical models of processes and analyze the constructed models using mathematical methods using computers, which makes it possible to experiment with object models in cases where it is practically impossible or impractical to do this on a real object. The lectures also illustrate some modern analytical approaches to the analysis of specific processes of chemical technology and biotechnology. Both well-known (classical) mathematical models and relatively new ones are analyzed.

42. Ар21-1770

Невдах, Т. М. Математическое моделирование литосферных геодеформационных процессов как опасных факторов жизнедеятельности : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ» : автореферат диссертации на соискание ученой степени кандидата технических наук / Невдах Татьяна Михайловна ; Рязанский государственный радиотехнический университет им. В. Ф. Уткина. – Рязань, 2021. – 19 с. – Текст : непосредственный.

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43. Ж2-20/69349

О возможности приложения теории Кана-Хилларда к математическому моделированию процесса горения : монография / Е. В. Радкевич, Н. Н. Яковлев, О. А. Васильева [и др.] ; под редакцией Е. В. Радкевича. – Москва : Эко-Пресс, 2020. – 188 с. : ил. – Библиогр.: с. 184-188 (76 назв.). – ISBN 978-5-6044018-1-1. – Текст (визуальный) : непосредственный.

Abstract: Gorenje theory and practice for engine developers is not of academic, but of applied interest – engineering applications. This requires a broader statement of the problem, since, as a rule, the gorenje process is illuminated from a certain point of view, which is adhered to by one or another scientific school. The facts are selected in such a way as to serve as a preliminary substantiation of the working hypothesis about the validity of the application of the Kahn-Hillard theory (theory of diffuse stratification) to the description of gorenje processes.

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44. Ар21-5252

Пененко, А. В. Математическое моделирование процессов адвекции-диффузии-реакции с усвоением данных наблюдений и решением обратных задач : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ» : автореферат диссертации на соискание ученой степени доктора физико-математических наук / Пененко Алексей Владимирович ; Институт вычислительной математики и математической геофизики Сибирского отделения Российской академии наук. – Новосибирск, 2021. – 32 с. : ил. – Библиогр.: с. 29-32 (24 назв.). – Текст : непосредственный.

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45. Ар21-2148

Петров, П. С. Математическое моделирование горизонтальной рефракции звука в трехмерных волноводах мелкого моря : специальность 01.04.06 «Акустика» : автореферат диссертации на соискание ученой степени доктора физико-математических наук / Петров Павел Сергеевич ; Тихоокеанский океанологический институт им. В. И. Ильичева. – Владивосток, 2021. – 42 с. : ил. – Библиогр.: с. 34-42 (72 назв.). – Текст : непосредственный.

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46. Д10-21/96374

Прохорова, Н. В. Математическое моделирование в биологии и экологии : учебное пособие / Н. В. Прохорова ; Министерство науки и высшего образования Российской Федерации, Самарский национальный исследовательский университет имени С. П. Королева (Самарский университет). – Самара : Изд-во Самарского ун-та, 2021. – 63 с. : ил. – Библиогр.: с. 61-63 (25 назв.). – ISBN 978-5-7883-1690-1. – Текст (визуальный) : непосредственный.

Abstract: The manual discusses the concept of models, classification of models and types of modeling, the specifics of mathematical modeling of living systems, the role and significance of mathematical and computer modeling in biology and ecology.

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47. Ж2-22/72912

Рыбачук, А. М. Математическое моделирование физических процессов в дуге и сварочной ванне : учебное пособие / А. М. Рыбачук ; Московский государственный технический университет имени Н. Э. Баумана (национальный исследовательский университет). – Москва : Изд-во МГТУ им. Н. Э. Баумана, 2022. – 77 с. : ил. – (Учебное пособие МГТУ им. Н. Э. Баумана). – Библиогр. в конце кн. – ISBN 978-5-7038-5752-6. – Текст (визуальный) : непосредственный.

Abstract: Contains a mathematical description of some processes occurring in the arc and the welding bath. The influence of welding mode parameters on the thermal and power characteristics of the arc and on the electric field in the product and the welding bath is shown. For students studying in the specialty 15.05.01 "Design of technological machines and complexes" specialization 15.05.01_07 "Design of technological complexes in welding production", graduate students studying in the direction of training 15.06.01 "Mechanical Engineering" orientation 15.06.01_17 "Welding, related processes and technologies".

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48. Ар21-2724

Стамов, Л. И. Математическое моделирование неравновесных процессов детонации и горения, а также переходных режимов на многопроцессорных ЭВМ : специальность 01.02.05 «Механика жидкости, газа и плазмы» : автореферат диссертации на соискание ученой степени кандидата физико-математических наук / Стамов Любен Иванович ; Федеральный научный центр Научно-исследовательский институт системных исследований Российской академии наук. – Москва, 2021. – 30 с. : ил. – Библиогр.: с. 26-30 (40 назв.). – Текст : непосредственный.

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49. У5269/2022/2

Сухарев, М. Г. О методологии применения математических моделей нейронных сетей к проблемам нефтегазового комплекса / М. Г. Сухарев, И. В. Тверской. – Текст : непосредственный // Автоматизация и информатизация ТЭК : научно-технический журнал. – 2022. – № 2. – С. 28-35. – Библиогр. в конце ст. – ISSN 2782-604X.

Abstract: The neural network apparatus is being intensively developed and successfully applied to solving practical problems of the oil and gas complex. Neural network algorithms are widely used in the field of difficult to formalize, poorly formalized and non-formalized tasks. Numerous successful examples of neural network algorithms have led to the illusory impression that success is guaranteed a priori for any of their applications. The article aims to dispel this misconception and, as far as possible, prevent attempts to build neural network algorithms doomed to failure in advance where it is not justified by the technological nature of the problem. Examples are given, two series of publications are analyzed, one of which relates to the problem of oil and gas field development, and the other to the operational management of gas transmission systems. It is proved that the neural network algorithms proposed in the publications cannot replace and even more so improve the existing methods of solving production problems.

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50. Д10-21/93992

Углеродные волокнистые электроды: свойства, модификация, процессы и электролизеры. Математическое моделирование и оптимизация : монография / В. К. Варенцов, А. Н. Кошев, В. И. Варенцова, В. В. Кузина ; Министерство науки и высшего образования Российской Федерации, Пензенский государственный университет архитектуры и строительства (ПГУАС), Институт химии твердого тела и механохимии Сибирского отделения Российской академии наук (ИХТТМ СО РАН). – Пенза : ПГУАС, 2021. – 174 с. : ил., граф. – Авт. указаны на обл. – Библиогр.: с. 155-168 (153 назв.). – ISBN 978-5-9282-1687-0. – Текст (визуальный) : непосредственный.

Abstract: The results of theoretical and experimental studies of electrochemical processes in flowing three-dimensional electrodes made of carbon fiber materials are presented. Carbon fiber materials are considered as a new type of electrodes that can be used both for the intensification of known processes and for the development of new technologies. The monograph was prepared at the Department of "Information and Computing Systems" of the Federal State Budgetary Educational Institution of the Russian Academy of Sciences and in the Laboratory of Electrochemistry of Heterogeneous Processes of the IHTTM SB RAS and is intended for students, postgraduates, researchers and specialists who develop and apply mathematical modeling methods and experimental studies of redox processes in pseudo-homogeneous media.

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51. Ар21-6138

Уткин, И. С. Математическое моделирование течений магмы и вулканических газов : специальность 01.02.05 «Механика жидкости, газа и плазмы» : автореферат диссертации на соискание ученой степени кандидата физико-математических наук / Уткин Иван Сергеевич ; Московский государственный университет имени М. В. Ломоносова, Механико-математический факультет, Кафедра гидромеханики. – Москва, 2021. – 24 с. : цв. ил. – Библиогр.: с. 24 (6 назв.). – Текст : непосредственный.

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52. Д10-21/87225

Цифровые технологии предсказательного моделирования в подземной гидродинамике : монография / Н. Н. Смирнов, А. В. Звягин, Л. И. Стамов [и др.] ; Московский государственный университет имени М. В. Ломоносова, Федеральный научный центр Научно-исследовательский институт системных исследований Российской академии наук. – Москва : НИИСИ РАН, 2021. – 143 с. : ил. – Библиогр.: с. 133-143 (164 назв.). – ISBN 978-5-93838-087-5. – Текст (визуальный) : непосредственный.

Abstract: In the proposed book, the subject and methods of fundamental ecology – the science of predictive models of the impact of man–made activities on the natural environment - are illustrated by the example of the analysis of models and methods of mining. Digitalization of research and development in the mining industry involves the creation of a digital multilevel model of the reservoir, taking into account the processes occurring at the micro level (individual pores), meso level (heterogeneity of the environment) and macro level (the reservoir as a whole). The book includes new scientific results obtained as part of the implementation of the planned tasks of the FSU FNC NIISI RAS. For specialists, students, undergraduates and postgraduates studying in the specialties of mechanics, mathematical modeling.

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53. Ар21-3019

Шумаев, В. В. Математическое моделирование процессов взаимодействия интенсивных потоков энергии с замагниченной мишенью : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ», специальность 01.04.14 «Теплофизика и теоретическая теплотехника» : автореферат диссертации на соискание ученой степени кандидата физико-математических наук / Шумаев Вячеслав Витальевич ; Московский государственный технический университет имени Н. Э. Баумана (национальный исследовательский университет). – Москва, 2021. – 15 с. : ил. – Библиогр.: с. 13-15 (22 назв.). – Текст : непосредственный.

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54. Юдович, В. И. Математические модели естественных наук : учебное пособие / В. И. Юдович. – Санкт-Петербург : Лань, 2022. – 336 с. – ISBN 978-5-8114-1118-4. – URL: https://e.lanbook.com/book/210581 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: A course of lectures by the famous mathematician and mechanic V. I. Yudovich (1934-2006), developed and read by him at the mehmat of Rostov State University. The fundamentals of the theory of dynamical systems and Lagrangian mechanics applied to finite-dimensional and infinite-dimensional problems, including problems of continuum mechanics and statistical mechanics, are presented. The material of these lectures can be used in special courses for undergraduates and the course "Concepts of modern Natural Science" at mathematical faculties. The publication is intended for university students studying in natural sciences.

55. Якименко, И. В. Методы, модели и средства обнаружения воздушных целей на атмосферном фоне широкоугольными оптико-электронными системами : монография / И. В. Якименко. – 2-е изд., испр. и доп. – Санкт-Петербург : Лань, 2022. – 176 с. – ISBN 978-5-8114-1732-2. – URL: https://e.lanbook.com/book/211643 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The scientific and theoretical work is devoted to the generalization of existing methods and means of detecting aerial targets on an atmospheric background from the ground. The monograph analyzes the experimentally obtained data, mathematical models are constructed and the main properties of the intrinsic infrared radiation of the atmospheric background are revealed. Based on the identified properties, the spatial distribution of atmospheric background radiation, a method of "background compensation" is proposed. The method allows using the identified features of the atmospheric background to divide the set of elements of the phono-target image into subsets of elements belonging to the image of the background and the target. Using the method, several methods of detecting an aerial target against an atmospheric background have been developed. The methods are based on the correlation and spectral spatial properties of the atmospheric background. To test the operability of the proposed method and methods, mathematical modeling of the process of detecting an aerial target on an atmospheric background under various meteorological situations was carried out. The publication is intended for researchers, teachers, graduate students, university students, cadets of higher military educational institutions of the Ministry of Defense of the Russian Federation.

3. Construction of mathematical models in engineering disciplines

56. Аксенов, М. И. Моделирование электропривода : учебное пособие / М. И. Аксенов. – Москва : ИНФРА-М, 2021. – 135 с. – (Высшее образование: Бакалавриат). – ISBN 978-5-16-009650-6. – URL: https://znanium.com/catalog/product/1199262 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The general issues of modeling in engineering and mathematical modeling of machines with electric drive are considered. A brief overview of the types of modeling is given. The advantage of mathematical modeling, electromechanical, electrohydraulic and other similar systems is shown. The stages of modeling on personal computers, as well as block diagrams and methods for calculating the parameters of the electric drive and its elements are given. The issues of programming and modeling techniques in the MATLAB environment are considered.

57. Д10-20/84639

Афанасьев, А. А. Математическое моделирование электромеханических систем : монография / А. А. Афанасьев ; Министерство науки и высшего образования Российской Федерации, Чувашский государственный университет имени И. Н. Ульянова. – Чебоксары : Изд-во Чувашского ун-та, 2020. – 272 с. : ил. – Библиогр.: с. 265-272 (75 назв.). – ISBN 978-5-7677-3158-9. – Текст (визуальный) : непосредственный.

Abstract: The complex magnetic potential and the method of separation of Fourier variables are considered as universal tools for mathematical modeling of electromechanical devices. Methods for calculating losses of electrical steel and permanent magnets are proposed. Mathematical models of valve motors and magnetic gearboxes are analyzed. For scientific and engineering workers.

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58. Баргуев, С. Г. Математическое моделирование колебаний систем твердых тел закрепленных на упругом стержне : монография / С. Г. Баргуев. – Саратов : Вузовское образование, 2020. – 285 c. – ISBN 978-5-4487-0595-3. – URL: https://www.iprbookshop.ru/87386.html (дата обращения: 25.07.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The monograph is devoted to mathematical modeling of vibrations of systems of solids fixed on an elastic rod or beam. When deriving differential equations of motion of the systems under consideration, the Hamilton variational principle is used, while taking into account the cases of Euler-Bernoulli and Timoshenko beams. A number of computational schemes are considered, differing in the number of systems of solids, their configuration, and ways of connecting bodies to each other. The method of investigation of natural and forced oscillations is described, the central place in which is the method of obtaining a generalized solution of the boundary value problem. A comparative analysis of the proposed approach is carried out. Illustrative material is presented, which reflects numerical calculations of the frequencies and forms of natural oscillations, as well as the amplitude-frequency characteristics of forced oscillations. The solution of the initial boundary value problem is proposed, which consists in determining the oscillations of the systems under consideration in time at their given initial positions and velocities. The natural oscillations of an inhomogeneous rod with a solid body are investigated. The monograph will be useful when students study the disciplines "Special chapters of mathematics", "Mathematics" for the main professional educational programs in the bachelor's degree areas 09.03.01 "Computer Science and Computer Engineering" and 11.03.02 "Infocommunication technologies and communication systems".

59. Д10-20/86189

Белов, В. В. Моделирование в строительном материаловедении и землеустройстве : монография / В. В. Белов, А. А. Артемьев ; Министерство науки и высшего образования России, Тверской государственный технический университет (ТвГТУ). – Тверь : Тверской гос. технический ун-т, 2020. – 159 с. : ил. – Библиогр.: с. 154-155 (12 назв.). – ISBN 978-5-7995-1108-1. – Текст (визуальный) : непосредственный.

Abstract: The process of obtaining highly efficient low-energy-intensive building materials poses a number of tasks for researchers, including the creation of optimal compositions, formulations, technological modes and many others, composite building materials that combine several components with different properties are being developed especially intensively. For such materials, the above tasks are significantly complicated, which requires the use of computer technology that allows you to find solutions in modern building materials science, automate the processes of searching for optimal compositions, build models of the structure of the material in volume, apply physical laws and predict changes in the properties of the material depending on external conditions. In solving the problem of increasing the efficiency of land use, special importance is attached to the ability to accumulate, process, store relevant information on land issues, expertly analyze past trends, draw informed conclusions, apply them to planning and forecasting land use. These interrelated issues are also the subject of consideration by the authors.

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60. Ар21-2452

Вершков, В. А. Математическое моделирование процесса обтекания шарнирного несущего винта вертолета методом деформируемых неструктурированных сеток : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ» : автореферат диссертации на соискание ученой степени кандидата технических наук / Вершков Владислав Александрович ; Московский физико-технический институт (национальный исследовательский университет). – Москва, 2021. – 16 с. : ил. – Библиогр.: с. 15-16 (14 назв.). – Текст : непосредственный.

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61. Ар21-3473

Гаврилова, О. В. Численно-аналитические методы и алгоритмы исследования математических моделей автокаталитической реакции с диффузией и распространения нервного импульса в мембранной оболочке : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ», специальность 05.13.01 «Системный анализ, управление и обработка информации (информатика, информационно-вычислительное обеспечение)» : автореферат диссертации на соискание ученой степени кандидата физико-математических наук / Гаврилова Ольга Витальевна ; Южно-Уральский государственный университет (национальный исследовательский университет). – Челябинск, 2021. – 16 с. – Библиогр.: с. 15016 (8 назв.). – Текст : непосредственный.

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62. Д10-20/85376

Гудков, А. Г. Моделирование наружных сетей водоснабжения и водоотведения : монография / А. Г. Гудков, М. В. Павлов, Д. Ф. Карпов ; Министерство науки и высшего образования Российской Федерации, Вологодский государственный университет. – Вологда : ВоГУ, 2020. – 230 с. : ил. – Библиогр.: с. 211-217 (74 назв.). – ISBN 978-5-87851-915-1. – Текст (визуальный) : непосредственный.

Abstract: The monograph presents the scientific and practical foundations of the methodology for modeling outdoor networks and structures of water supply and sanitation systems in relation to design and operational tasks. Mathematical models of objects that make up engineering complexes for supplying and distributing water to consumers, as well as collecting and transporting wastewater are considered. The monograph is intended for researchers and engineering and technical specialists involved in the design, research and operation of water supply and sanitation systems, and can also be useful for university teachers, graduate students and undergraduates of the profile direction.

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63. Ар21-6020

Зайцева, Н. И. Математическое моделирование отклонений поверхностей деталей и анализ качества сборки в авиастроении : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ» : автореферат диссертации на соискание ученой степени кандидата технических наук / Зайцева Надежда Игоревна ; Санкт-Петербургский политехнический университет Петра Великого. – Санкт-Петербург, 2021. – 18 с. : ил. – Библиогр.: с. 18 (11 назв.). – Текст : непосредственный.

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64. Золотоносов, Я. Д. Трубчатые теплообменники. Моделирование, расчет : монография / Я. Д. Золотоносов, А. Г. Багоутдинова, А. Я. Золотоносов. – Санкт-Петербург : Лань, 2022. – 272 с. – ISBN 978-5-8114-3411-4. – URL: https://e.lanbook.com/book/213233 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The monograph is devoted to the description of the designs of heat exchange equipment, including: tubular apparatuses with innovative heat exchange elements, coil heat exchangers of the "pipe in a pipe" type with a changing and unchanging bending radius of the helical spiral of the flow part of the heat exchange elements, as well as heat exchange devices with a rotating heat exchange surface. The paper proposes mathematical models of conjugate heat transfer in devices of the class under consideration, developed on the basis of fundamental equations of continuum mechanics. The results of numerical calculations and experimental data confirming the adequacy of mathematical models are presented. On the basis of experimental and theoretical studies, reliable methods of engineering calculations of modern heat exchange apparatuses are proposed. The monograph is intended for bachelor's, master's and postgraduate studies in the fields of "Mechanics and mathematical modeling", "Thermal power engineering and heat engineering", "Power Engineering", "Nuclear Power Engineering and Thermophysics", "Applied Mechanics", "Technical Physics", "Chemical Technology". The book may be useful to specialists engaged in the development and design of highly efficient heat exchangers.

65. Д10-21/88340

Информационные технологии и математическое моделирование : избранные статьи XIII Научной интернет-конференции с международным участием / Министерство науки и высшего образования Российской Федерации, Сибирский государственный университет науки и технологий имени академика М. Ф. Решетнева ; под редакцией С. И. Сенашова. – Красноярск :СибГУ им. М. Ф. Решетнева, 2021. – 78, [1] с. : ил. – Парал. загл. ст., рез. англ. – Библиогр. в конце ст. – ISSN 2305-9745. – Текст (визуальный) : непосредственный.

Abstract: The collection is based on selected materials of the XIII Scientific Internet Conference with international participation, which presents the results of research by scientists, teachers, researchers of the Russian Federation and countries of the near and far abroad in the field of system analysis, mathematical modeling, optimization and information technology in various fields of science. The collection is registered in the Ulrich's Periodicals Directory database.

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66. Д10-21/87740

Информационные технологии и математическое моделирование (ИТММ-2020) = Informationtechnologiesandmathematicalmodelling (ITMM-2020) : материалы XIX Международной конференции имени А. Ф. Терпугова, 2-5 декабря 2020 года / Национальный исследовательский Томский государственный университет, Российский университет дружбы народов, Институт проблем управления имени В. А. Трапезникова РАН ; редколлегия: А. А. Назаров [и др.]. – Томск : Изд-во НТЛ, 2021. – 497 с. : ил. – Парал. тит. л., часть текста англ. – Библиогр. в конце докл. – Из содерж.: Сценарии управления беспилотными транспортными средствами в среде "Умного города" / Я. Куликова, Д. Качалов, М. П. О. Фархадов ; Решение задачи распознавания образов при помощи алгоритма гибридной СММ-нейросети / С. Гилин. – ISBN 978-5-89503-647-1. – Текст (визуальный) : непосредственный.

Abstract: The collection contains selected materials of the XIX International Conference named after A. F. Terpugov in the following areas: queuing theory and its applications, data mining and visualization, information technology and software engineering, mathematical and computer modeling of technological processes. For specialists in the field of information technology and mathematical modeling.

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67. Д10-20/79335

Лаврусь, О. Е. Математическое моделирование динамических процессов в пневмогидросистемах транспортной техники : монография / О. Е. Лаврусь, О. П. Мулюкин, В. Н. Новикова ; Министерство транспорта Российской Федерации, Федеральное агентство железнодорожного транспорта, Самарский государственный университет путей сообщения. – Самара : Изд-во СамГУПС, 2020. – 258 с. : ил. – Библиогр.: с. 243-258 (158 назв.). – ISBN 978-5-98941-318-8. – Текст : непосредственный.

Abstract: The monograph presents an in-depth analysis of the current state of development of springless pneumohydroarmature with sealing gates of various physical nature in a single format. The issues of designing such fittings, calculating the dynamics of its sealing joints and ensuring functional reliability from the stage of preliminary design to the stage of development of operational life are characterized. The results of theoretical and experimental studies of the dynamic quality of pneumohydroarmature of this kind in pneumohydrosystems with variable thermodynamic (thermophysical) parameters are presented. It is intended for scientific and engineering workers of valve assembly engineering specializing in the dynamics of shut-off pneumohydroarmature of highly loaded pneumatic systems of railway transport equipment, as well as teachers, graduate students and students of technical universities of the relevant specialties.

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68. Д10-20/83440

Маняшин, А. В. Статистический анализ данных и имитационное моделирование в системе Stamm 4.0 : монография / А. В. Маняшин ; Министерство науки и высшего образования Российской Федерации, Тюменский индустриальный университет. – Тюмень : ТИУ, 2020. – 219 с. : ил. – Библиогр.: с. 219 (8 назв.). – ISBN 978-5-9961-2314-8. – Текст (визуальный) : непосредственный.

Abstract: The features of the Steam 4.0 program are considered. The new version of the system offers a more advanced implementation of statistical modeling and the use of simulation models of various types. The functions of initial processing of statistical data were also improved: determination of sample characteristics, approximation of data by regression dependencies or polynomials, analysis of time series using Fourier transform or Wavelet functions. The new version of the program adds the functions of creating, training and using neural networks integrated into worksheets, as well as cluster data analysis. The monograph presents examples of solving various engineering and technical problems using the capabilities of the new version of Stamm 4.0. The work is intended for engineers, teachers, graduate students and students involved in the initial processing of experimental data, mathematical modeling, and performing design research calculations.

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69. Д10-21/96043

Математическое моделирование динамики многомерных механических систем и решение задач управления : монография : научное издание / А. В. Борисов, В. Л. Борисова, И. Е. Каспирович [и др.]. – Смоленск : Универсум, 2021. – 220 с. : ил. – Библиогр.: с. 165-188 (216 назв.). – ISBN 978-5-91412-471-4. – Текст (визуальный) : непосредственный.

Abstract: The monograph presents the results of research on modeling the dynamics of rigid body systems and controlling the movement of a snowboarder. To implement a steady movement, the method of stabilization of connections is used. The book is intended for researchers and specialists in the field of theoretical mechanics, nonholonomic mechanics, biomechanics, robotics, control theory and related fields. The book will be useful for teachers, as well as postgraduates, undergraduates and undergraduates of higher educational institutions, whose research interests lie in the field of mechanical systems modeling and control.

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70. Муромцев, Д. Ю. Математическое обеспечение САПР : учебное пособие / Д. Ю. Муромцев, И. В. Тюрин. – 2-е изд. перераб. и доп. – Санкт-Петербург : Лань, 2022. – 464 с. – ISBN 978-5-8114-1573-1. – URL: https://e.lanbook.com/book/211466 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: Basic concepts and definitions in the field of computer-aided design systems are presented, information on their classification and types of support is provided. General information about the CAD mathematical apparatus is given, the issues of mathematical modeling of electronic means at various levels of the constructive hierarchy are considered. Serious attention in the manual is paid to the tasks of computer-aided design of electronic means, methods and algorithms for solving problems of design design are considered in detail.

71. У4959/2022/6/1

Мызникова, В. А. Математическое моделирование системы управления движением беспилотного объекта в среде Simintech / В. А. Мызникова, В. В. Устименко, А. В. Чубарь, И. В. Солопко. – Текст : непосредственный // Космические аппараты и технологии : ежеквартальный научный журнал. – 2022. – Т. 6, № 1. – С. 45-54. – Библиогр. в конце ст. – ISSN 2618-7957.

Abstract: In the modern world, robotic devices are increasingly coming to help people. They solve both domestic and industrial problems. When designing any object, one inevitably has to face testing in various conditions. To do this, you can build a test model, but if the object is quite complex and several models need to be built at once, mathematical modeling can help save labor and material resources. The article presents mathematical modeling of processes based on typical functional blocks in the form of systems of differential-algebraic equations. Mathematical modeling and control algorithm are considered as a set of interrelated structures. The robot's motion is simulated in the forward direction of rotation of the wheels, the reverse direction of rotation and the reverse directions of rotation. A model of the control device is constructed, which, by the magnitude of the deviation of the current orientation of the wheeled robot from the set one, forms control actions on the wheel motor. These influences allow you to bring the orientation of the robot to the desired orientation. The quality characteristics for different values of the robot rotation speed are obtained. Despite the fact that this model ignores the influence of many forces arising during movement, it allows us to identify the influence of factors such as the radius of the wheels, the distance between them, the amount of voltage applied to the motors during rotation on the movement and trajectory of the robot.

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72. Д10-20/89160

Наумов, В. А. Математическое моделирование работы насосов в сети : монография / В. А. Наумов ; Калининградский государственный технический университет. – Калининград : Изд-во КГТУ, 2020. – 207, [1] с. : ил. – Библиогр.: с. 198-208 (159 назв.). – ISBN 978-5-94826-584-1. – Текст (визуальный) : непосредственный.

Abstract: The monograph is devoted to the problems of mathematical modeling of the operation of pumps of various types in hydraulic networks. The features of the approximation of the load characteristics of centrifugal pumps, piston pumps, gear and screw pumps are considered. Mathematical models of pumping vacuum systems based on water-ring compressor machines have been developed. The tasks of unsteady pumping of liquid in simple hydraulic networks are set and solved. Solutions of specific tasks are presented. The monograph is intended for researchers, engineers, teachers of higher and secondary specialized educational institutions, graduate students and students associated with the tasks of research, design and operation of pumping units.

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73. Д10-21/91343

Новосёлов, Ю. К. Диагностика процесса чистового шлифования по динамике изменения выходных переменных : монография / Ю. К. Новосёлов, Э. Э. Ягьяев ; Министерство образования, науки и молодежи Республики Крым, Крымский инженерно-педагогический университет имени Февзи Якубова. – Симферополь : АРИАЛ, 2021. – 175 с. : ил. – Библиогр.: с. 160-175 (147 назв.). – ISBN 978-5-907438-68-2. – Текст (визуальный) : непосредственный.

Abstract: The monograph is devoted to solving the scientific and technical problem of improving the efficiency of the finishing grinding process. To solve the problem on the basis of a systematic approach, a classification of changes in the parameters of the state of the technological system of the grinding process is proposed. The relationship of the rates of change of output variables from changes in the parameters of the technological system state is established. The mathematical modeling of the process of circular external grinding reflects the patterns of changes in the initial variables when the parameters of the state of the technological system change.

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74. Ар21-2492

Папкова, И. В. Математическое моделирование нелинейной динамики одномерных и двумерных механических систем с учетом их контактного взаимодействия : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ» : автореферат диссертации на соискание ученой степени доктора физико-математических наук / Папкова Ирина Владимировна ; Саратовский государственный технический университет имени Гагарина Ю. А. – Саратов, 2021. – 38, [1] с. : ил. – Библиогр. в конце кн. (105 назв.). – Текст : непосредственный.

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75. Ар21-6022

Погарская, Т. А. Разработка методов выбора расположения и порядка установки временных крепежных элементов при математическом моделировании сборки авиационных конструкций : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ» : автореферат диссертации на соискание ученой степени кандидата технических наук / Погарская Татьяна Аркадьевна ; Санкт-Петербургский политехнический университет Петра Великого. – Санкт-Петербург, 2021. – 18 с. : ил. – Библиогр.: с. 17-18 (11 назв.). – Текст : непосредственный.

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76. Д10-21/88813

Поршнев, С. В. Математическое и алгоритмическое обеспечение для анализа характеристик информационных потоков в магистральных Интернет-каналах / С. В. Поршнев, Д. А. Божалкин. – Москва : Горячая линия – Телеком, 2021. – 214 с. : ил. – Библиогр.: с. 134-140 (105 назв.). – ISBN 978-5-9912-0927-4. – Текст : непосредственный.

Abstract: The results of research on the properties of information flows in high-speed backbone Internet channels based on a systematic approach using methods of mathematical statistics, genetic algorithms and time series analysis methods are presented. Mathematical and algorithmic software has been developed, as well as appropriate software for analyzing the characteristics of information flows in high-speed backbone Internet channels. A technique for analyzing Internet traffic is proposed and its operability is proved in the study of information flows in a high-speed backbone Internet channel. A study of the mutual influence of information flows created in the main Internet channel by selected classes of users has been conducted, and it is proved that the relationships between the volumes of information transmitted in the main Internet channel by each of the selected classes of users are described by deterministic linear models. An algorithm for controlling the loading of the information flow transmission channel is proposed. For researchers and engineers engaged in the research, development and operation of modern telecommunications systems, it will be useful for students, undergraduates, graduate students and teachers of relevant specialties.

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77. Ар21-5145

Репина, А. И. Математические модели и метод Галеркина в теории микродисковых лазеров : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ» : автореферат диссертации на соискание ученой степени кандидата физико-математических наук / Репина Анна Игоревна ; Казанский (Приволжский) федеральный университет. – Казань, 2021. – 16 с. – Библиогр.: с. 15-16 (10 назв.). – Текст : непосредственный.

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78. Д10-21/87632

Рябухин, П. Б. Математическое моделирование параметров лесопромышленного оборудования (на примере установки для пачковой раскряжевки круглых пиломатериалов) : монография / П. Б. Рябухин ; Министерство науки и высшего образования Российской Федерации, Тихоокеанский государственный университет. – Хабаровск : Изд-во ТОГУ, 2021. – 120, [1] с. : ил. – Библиогр. в примеч.: с. 113-118.– ISBN 978-5-7389-3250-2. – Текст (визуальный) : непосредственный.

Abstract: The monograph proposes a method of mathematical modeling of structural and kinematic parameters of equipment for performing technological operations in the timber industry. As an example of the implementation of the modeling process, an installation for the bundle bucking of round timber with an original flexible cutting tool was used. The methods of conducting full-scale experimental studies and mathematical processing of experimental results are presented. Software has been developed that allows the heads of design departments of machine-building enterprises and research institutions of the timber industry to calculate equipment parameters based on a scientifically based methodology to obtain their optimal values for a set of evaluation indicators.

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79. Д10-22/97686

Смирнов, С. В. Математическое моделирование индикаторного процесса в поршневых ДВС : учебное пособие / С. В. Смирнов, И. А. Заев, А. Р. Макаров. – Москва : Российский ун-т дружбы народов, 2022. – 122, [1] с. : ил. – Библиогр.: с. 117-121 (39 назв.). – ISBN 978-5-209-10795-8. – Текст (визуальный) : непосредственный.

Abstract: The manual discusses the main theoretical provisions of mathematical modeling of the indicator process in reciprocating internal combustion engines. For masters studying in the direction of 13.04.03 "Power engineering" in the academic discipline "Theory of heat engines (special chapters)", and the implementation of master's theses.

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80. Д10-21/89723

Терехов, Д. В. Управление потоками данных в гетерогенных информационных системах специального назначения: математическое и программное обеспечение : монография / Д. В. Терехов, А. Д. Данилов, О. Я. Кравец. – Воронеж : Научная книга, 2021. – 156 с. : ил. – Библиогр.: с. 113-121 (130 назв.). – ISBN 978-5-907328-04-4. – Текст (визуальный) : непосредственный.

Abstract: The work is focused on the development of mathematical and software management of data flows in heterogeneous information systems for special purposes.

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81. Ар21-4268

Чембаев, В. Д. Математическое моделирование поля пространственно-углового распределения яркости в осветительных установках : специальность 05.09.07 «Светотехник» : автореферат диссертации на соискание ученой степени кандидата технических наук / Чембаев Виктор Дмитриевич ; Национальный исследовательский университет "МЭИ". – Москва, 2021. – 20 с. : ил. – Библиогр.: с. 17-20. – Текст : непосредственный.

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82. Ж2-20/68578

Черняховская, Л. Б. Математическое моделирование процесса совмещения цилиндрических деталей с гарантированным зазором / Л. Б. Черняховская, Д. А. Симаков. – Москва : Триумф, 2020. – 147 с. : ил. – Библиогр.: с. 141-143 (27 назв.). – ISBN 978-5-93673-264-5. – Текст : непосредственный.

Abstract: Automation of the assembly of cylindrical parts remains an urgent task of mechanical engineering technology and robotic systems are increasingly used to solve it, based on mathematical modeling of the alignment process. The whole process of automatic assembly is a mechanical movement of parts, which means that the reliability and quality of this process depend on how accurately the mechanical movement transmitted to the parts by the assembly device corresponds to the objective laws of movement necessary for their combination. Therefore, the design of assembly devices, as well as mathematical modeling of the processes of automatic assembly of cylindrical parts should be based on the laws of mechanical motion. This paper presents a study of all possible options for the movement of cylindrical parts in the process of their combination, performed in accordance with the laws of theoretical mechanics. As a result of the analysis, regularities have been established and differential equations have been compiled for all variants of shaft movement. The results obtained are a mathematical model of the alignment process necessary for computer simulation of the process of automatic assembly of parts by industrial robots.

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83. Ар21-6371

Ширванян, А. М. Разработка и исследование математической модели привязных высотных беспилотных телекоммуникационных платформ, функционирующих в турбулентной атмосфере : специальность 1.2.2 «Математическое моделирование, численные методы и комплексы программ» : автореферат диссертации на соискание ученой степени кандидата технических наук / Ширванян Артем Мартиросович ; Институт проблем управления им. В. А. Трапезникова Российской академии наук. – Москва, 2021. – 24 с. : ил. – Библиогр.: с. 23-24 (15 назв.). – Текст : непосредственный.

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84. Д10-21/90721

Южно-Уральская молодежная школа по математическому моделированию (4 ; 2021 ; Челябинск). Южно-Уральская молодежная школа по математическому моделированию : сборник трудов IV Всероссийской студенческой научно-практической конференции, 15-16 июня 2021 года / Министерство науки и высшего образования Российской Федерации, Южно-Уральский государственный университет ; под редакцией Е. В. Бычкова. – Челябинск : Издательский центр ЮУрГУ, 2021. – 174, [1] с. : ил. – Библиогр. в конце докл. – ISBN 978-5-696-05203-8. – Текст (визуальный) : непосредственный.

Abstract: The collection contains articles by participants of the South Ural Youth School on mathematical modeling. The School had sections on mathematical and computer modeling, equations of mathematical physics and applied mathematics. The purpose of the School is to attract young researchers and students to science and to develop scientific schools in the field of applied and fundamental mathematics, as well as to test new results. Printed from the author's originals.

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85. У4100/2021/25/3

Яцун, С. Ф. Моделирование системы управления исполнительных звеньев реабилитационного экзоскелета с учетом эффекта спастичности / С. Ф. Яцун, А. В. Мальчиков, А. А. Постольный, А. С. Яцун. – Текст : непосредственный // Юго-Западный государственный университет. Известия Юго-Западного государственного университета : научный рецензируемый журнал. – 2021. – Т. 25, № 3. – С. 103-119. – Библиогр. в конце ст. – ISSN 2223-1560.

Abstract: The aim of the study is mathematical modeling of the adaptive control system of the rehabilitation exoskeletal complex, which allows taking into account the effects of human interaction with the executive links of the drive system, including detecting the appearance of the spasticity effect. To achieve this goal, the authors of the work solved the following tasks: development of the concept of human-machine interaction, description of the information infrastructure of the exoskeleton complex; development of the structure of an adaptive control system that allows to take into account the interaction of a person with a robot during movement; development of a mathematical model of a human-machine system (HMS) and setting up computational experiments to test adaptive control algorithms under various conditions, development of a method for detecting the phenomenon of spasticity and an algorithm of an adaptive control system that ensures patient safety. Biomechanical and physiological properties of the manipulated object, mechanical properties of the power elements of the structure, as well as the features of the information system of the electromechanical device are taken into account when constructing a mathematical model of the PMS. The paper uses a mathematical model represented by a system of second-order differential equations describing the dynamics of the joint movement of the executive links of the exoskeleton and the operator's limb. In the course of numerical simulation, time diagrams of changes in the rotation angles of the exoskeleton links and the operator's leg, the laws of change of torques in the joints and the forces on the cuffs characterizing human-machine interaction under various modes and operating conditions of the device were obtained. Based on the obtained results of mathematical modeling of the functioning of the CHMS, conclusions are drawn about the applicability of the proposed adaptive control system algorithms for various modes and conditions of the exoskeletal complex, including for the rehabilitation of patients with the possibility of spasticity.

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4. Mathematical modeling of socio-economic processes

86. Д10-20/79890

Безопасность системы стратегического управления в промышленности: математическое моделирование и системный анализ рисков, угроз, параметров равновесия : научная монография / Е. А. Яковлева, М. М. Гаджиев, Э. А. Козловская [и др.] ; Дагестанский государственный университет народного хозяйства. – Махачкала : АЛЕФ, 2020. – 289 с. : ил. – Авт. указ. на обороте тит. л. – Библиогр.: с. 282-287 (60 назв.) и в подстроч. примеч. – ISBN 978-5-00128-439-0. – Текст : непосредственный.

Abstract: The monograph is devoted to the study of a significant set of risks, threats and security parameters of the strategic management system, including the functioning of the national innovation system, the formation and actualization of financial and industrial policy, the implementation of innovative strategies of enterprises, the choice of sources of financing in the collective investment market.

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87. Ж2-22/72318

Бенасси, Ж-П. Макроэкономическая теория : учебник / Ж-П. Бенасси ; перевод с английского И. М. Агеевой и М. И. Левина ; под научной редакцией М. И. Левина ; Российская академия народного хозяйства и государственной службы при Президенте Российской Федерации. – Москва : Дело, 2022. – 572, [1] с. : ил. – (Серия "Академический учебник"). – Парал. тит. л. англ. – Библиогр.: с. 535-563. – Указ.: с. 565-573. – Пер. изд.: Macroeconomictheory / Jean-PascalBénassy. – S.I., 2011. – ISBN 978-5-85006-265-1. – Текст (визуальный) : непосредственный.

Abstract: The textbook, written by the famous French economist Jean-Pascal Benassi, is intended for undergraduate, graduate and postgraduate students, as well as for everyone whose field of interest is macroeconomics. The book consistently presents various macroeconomic theories, corresponding mathematical models, including Solow-Swann models, Keynesian models, rational expectations models, Ramsey models, exogenous and endogenous growth models, and models with overlapping generations. It also considers models of general economic equilibrium, both static and dynamic, both deterministic and stochastic. Considerable attention is paid to the problems of equilibrium with inflexible prices, imperfect competition, models of unemployment and dynamic coherence and trust. An important place in the book is occupied by the problems of political economy and stabilization policies. Each chapter of the book is equipped with tasks that develop the main material. The mathematical application of the book provides a closed presentation.

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88. Волгина, О. А. Математическое моделирование экономических процессов и систем : учебное пособие / О. А. Волгина, Г. И. Шуман. – Москва : КноРус, 2022. – 256 с. – ISBN 978-5-406-08869-2. – URL: https://book.ru/book/941747 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: Some applied models of economic processes are presented, as well as models containing differential equations. A large number of economic problems with solutions and the use of the Excel information system are given.

89. Д10-20/82651

Гальченко, Г. А. Моделирование транспортных потоков и загрязнения атмосферы мегаполиса : монография / Г. А. Гальченко, С. Г. Курень. – Москва : Перо, 2020. – 168 с. : ил. – Библиогр.: с. 157-167 (104 назв.). – ISBN 978-5-00171-393-7. – Текст (визуальный) : непосредственный.

Abstract: The existing methods of mathematical modeling of processes in the environment, modeling of traffic flows are considered, the main characteristics of the developed software products for modeling transport processes and new models of pollution of the surface layer of the atmosphere for predicting the development of the ecological situation are described. The publication is intended for bachelors, undergraduates, postgraduates, environmental engineers, researchers, and anyone involved in organizing traffic in a megalopolis, taking into account the contribution of transport to environmental pollution, as well as the development of measures to reduce the negative impact of transport on the environmental situation in the city.

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90. Д10-21/95248

Зайцева, И. В. Математическое моделирование процессов управления трудовыми ресурсами : монография / И. В. Зайцева ; Министерство науки и высшего образования Российской Федерации, Российский государственный гидрометеорологический университет. – Санкт-Петербург : РГГМУ, 2021. – 199 с. : ил. – Библиогр.: с. 186-199 (96 назв.). – ISBN 978-5-86813-529-3. – Текст (визуальный) : непосредственный.

Abstract: The monograph consists of sections that allow you to form an idea of methods, models and technologies for the study of economic systems. The monograph examines the processes of modeling, analysis and management of human resources in the economic systems of multi-agent interaction in the conditions of incomplete information, discusses optimization issues in interaction models, studies models of competitiveness of economic agents. A number of numerical examples of the developed models are presented. The monograph is intended for students, postgraduates, teachers and specialists in the field of mathematical modeling, operations research, control theory, mathematical cybernetics, mathematical economics, etc.

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91. Д10-22/95705

Коваленко, Д. Л. Механизм планирования инвестиционных процессов на предынвестиционном этапе : монография / Д. Л. Коваленко. – 2-е изд. – Москва : ИНФРА-М, 2022. – 164, [17] с. : ил. – (Научная мысль). – Библиогр.: с. 155-164 (149 назв.).– ISBN 978-5-16-017463-1. – Текст (визуальный) : непосредственный.

Abstract: Investment processes are an integral element of the effective development of the modern economy, where pre-investment research is an important stage in the investment planning strategy. The monograph presents the developments and research results that can be used in the formation of the investment policy of the enterprise. It is intended for economists, financiers and employees of departments of industrial enterprises engaged in the implementation and justification of investment projects, as well as the formation of investment programs.

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92. Колесин, И. Д. Принципы моделирования социальной самоорганизации : учебное пособие / И. Д. Колесин. – Санкт-Петербург : Лань, 2022. – 288 с. – ISBN 978-5-8114-1484-0. – URL: https://e.lanbook.com/book/211166 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The principles of mathematical modeling of self-organizing social systems (social groups, social movements, mass processes) are described. The basis for the construction of continuous models is the principle of endogenous expansion, which consists in supplementing the evolution equations with dynamic equations for group consciousness. In the case of discrete models, endogenous expansion is reduced to bordering the complementarity matrix with a row and a column for a beginner. The models of formation of initiative groups, social movements, youth subcultures, as well as business and leisure groups, sports teams are given. The models of social networks and their conformal transformation are considered. The manual is intended for students and postgraduates of the faculties of applied mathematics of universities, as well as for specialists in mathematical sociology.

93. Колокольцов, В. Н. Математическое моделирование многоагентных систем конкуренции и кооперации (Теория игр для всех) : учебное пособие / В. Н. Колокольцов, О. А. Малафеев. – Санкт-Петербург : Лань, 2022. – 624 с. – ISBN 978-5-8114-1276-1. – URL: https://e.lanbook.com/book/210860 (дата обращения: 29.06.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The first part of the book is an elementary introduction to the mathematical theory of games (the theory of competition and cooperation processes) with a detailed consideration of a large number of examples. The second part contains a formalized presentation of some of the results of the theory, some of them are new. The book is intended for students, postgraduates and researchers specializing in game theory, operations research, mathematical economics, cybernetics, control theory and their applications, as well as for a wide range of readers interested in game-theoretic problems in its popular representation.

94. Королев, О. Л. Применение энтропии при моделировании процессов принятия решений в экономике : монография / О. Л. Королев, М. Ю. Куссый, А. В. Сигал ; под редакцией профессора А. В. Сигала. – Москва : ИНФРА-М, 2022. – 202 с. – (Научная мысль). – ISBN 978-5-16-017653-6. – URL: https://znanium.com/catalog/product/1865188 (дата обращения: 25.07.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The monograph is devoted to the study of entropy, the history of this general scientific category, the development of its theory, various aspects of the application of entropy. Entropy – a measure of chaos – is one of the basic concepts of modern natural science. Having arisen in thermodynamics in the first half of the XIX century, the concept of entropy has found numerous applications in many branches of knowledge, including in other branches of physics, engineering, computer science, biology, economics, social sciences. Particular attention is paid to the evolution of views on the concept of entropy, various aspects of the use of entropy for modeling processes in financial markets, the methodology of recurrent analysis of time series in economics, as well as various aspects of the use of entropy for game-theoretic modeling of resource allocation processes. It will be useful to specialists in mathematical modeling, scientists and practitioners specializing in managerial decision-making, teachers, graduate students, students.

95. Д10-21/87260

Математическое моделирование календарного планирования непрерывного производства / Н. П. Савенкова, И. А. Треско, А. А. Скорняков [и др.] ; под общей редакцией И. А. Треско ; Московский государственный университет имени М. В. Ломоносова, Факультет вычислительной математики и кибернетики. – Москва : МАКС Пресс, 2021. – 178 с. : ил. – Библиогр.: с. 173-177 (44 назв.).– ISBN 978-5-317-06586-7. – Текст (визуальный) : непосредственный.

Abstract: The purpose of the book is to introduce new approaches to solving problems of optimal management of continuous production, allowing for a high level of automation. New approaches are based on a highly adequate description of the production process, specially developed mathematical methods and algorithms for calculating the optimal material balance and calendar plan, features of the design and implementation of production management information systems. The book presents theoretical and practical aspects of the development and operation of a new automated technology for optimizing production management, including the reflection of the results of its implementation at a large oil refinery. The positioning of the developed solutions in the market of continuous production management systems is shown, the directions of further development of their capabilities and expansion of use are indicated.

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96. Д10-22/99419

Михайлов, А. П. Математические модели системы "человек-общество" : монография / А. П. Михайлов, А. П. Петров. – Москва : ФИЗМАТЛИТ®, 2022. – 450 с. : ил. – Библиогр.: с. 436-450, библиогр. в конце гл. – ISBN 978-5-9221-1909-2. – Текст (визуальный) : непосредственный.

Abstract: The monograph outlines approaches to mathematical modeling and studies specific models of processes from the field of demography, psychology, sociology, and political science. The triad "model-algorithm-program" formulated by academician A. A. Samarsky, describing the key stages of modeling, was adopted as a methodological basis. Particular attention is paid to the construction of mathematical models based on hypotheses about the behavior of both individuals and social groups, taking into account theoretical concepts and empirically obtained patterns established in the relevant branches of scientific knowledge. For all the models under consideration, a study was carried out by analytical or numerical methods, with a meaningful interpretation of the mathematical results.

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97. Ар21-5195

Мхитарян, Г. А. Математические модели и алгоритмы адаптивного тестирования в программном комплексе математической поддержки функционирования системы дистанционного обучения : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ» : автореферат диссертации на соискание ученой степени кандидата физико-математических наук / Мхитарян Георгий Араикович ; Московский авиационный институт (национальный исследовательский университет). – Москва, 2021. – 20 с. – Библиогр.: с. 17-20 (22 назв.). – Текст : непосредственный.

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98. Д10-21/96025

Нечитайло, А. А. Использование социально-экономических моделей для оценки целесообразности инноваций : монография / А. А. Нечитайло, А. А. Гнутова, Н. В. Прядильникова ; Министерство науки и высшего образования Российской Федерации, Самарский национальный исследовательский университет имени С. П. Королева (Самарский университет). – Самара : Изд-во Самарского ун-та, 2021. – 195 с. : ил. – Библиогр.: с. 173-177 (36 назв.). – ISBN 978-5-7883-1658-1. – Текст (визуальный) : непосредственный.

Abstract: The features of modeling socio-economic systems based on the experience of publishing activities are analyzed from the point of view of assessing the feasibility of introducing scientific and technical innovations; applying mathematical research methods in practice; practically proven methods used in assessing the feasibility of starting a business are described, their advantages and disadvantages are determined.

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99. Д10-21/97713

Ованесян, С. С. Математическое моделирование в бухгалтерском учете, анализе и налогообложении : монография / С. С. Ованесян ; Министерство науки и высшего образования Российской Федерации, Байкальский государственный университет. – 3-е изд., доп. и перераб. – Иркутск : Издательский дом БГУ, 2021. – 158 с. – Библиогр.: с. 156-158 (34 назв.). – ISBN 978-5-7253-3049-6. – Текст (визуальный) : непосредственный.

Abstract: The monograph is devoted to the application of mathematical modeling methods in management accounting, analysis and taxation. It provides methods for setting problems and corresponding mathematical models. Examples of construction and methods of solving problems of management accounting and analysis, as well as actual problems of interaction of accounting and taxation are shown. For students of economic universities, graduate students, as well as practical accountants.

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100. Ж2-20/68770

Пейдж, С. Модельное мышление : как анализировать сложные явления с помощью математических моделей / С. Пейдж ; перевод с английского Н. Яцюк. – Москва : Манн, Иванов и Фербер, 2020. – 525 с. : ил. – Парал. тит. л. англ. – Библиогр.: с. 504-519. Предм.-имен. указ.: с. 520-525. – Пер. изд.: The model thinker. What you need to know to make data work for you / Scjtt E. Page. – New Yorc, 2018. – ISBN 978-5-00146-867-7. – Текст : непосредственный.

Abstract: In whatever field you work – in science, business or public administration, you have to solve complex problems with a huge amount of data. In this book, you will learn how to make this data work for you. The author explains how to use 25 classes of mathematical models to analyze data and solve problems in everyday situations. It would be good for everyone who has to make decisions every day, maneuvering in the flow of information – entrepreneurs, managers, analysts, sociologists, scientists, students and not only. The book will be useful to anyone who works with large amounts of data and makes decisions based on them.

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101. Д10-21/90105

Павлова, С. А. Математические модели в экономике : учебное пособие / С. А. Павлова, Е. Н. Курочкина. – Курск : Университетская книга, 2021. – 119 с. : ил. – Библиогр.: с. 115-119 (23 назв.). – ISBN 978-5-907441-43-9. – Текст (визуальный) : непосредственный.

Abstract: The textbook is a practical guide for solving mathematical modeling problems in economics, which will help to logically correctly and reasonably select and build mathematical models when solving economic problems, analyze and interpret the results obtained in professional production and economic activities. The textbook discusses the basic concepts and the construction in the MS Office Excel spreadsheet processor of balance models in production planning, planning models for optimal use of resources, transport task models, network planning models. The textbook is intended for cadets, students and trainees of higher educational institutions studying in economic specialties. The textbook can also be useful for researchers who have set out to mathematically substantiate their scientific and practical conclusions.

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102. Д10-20/88573

Полетайкин, А. Н. Гибридное математическое моделирование профессиональных образовательных программ : монография / А. Н. Полетайкин ; под редакцией В. С. Канева. – Москва : Горячая линия – Телеком, 2020. – 223 с. : ил. – Библиогр.: с. 200-211 (190 назв.). – ISBN 978-5-9912-0846-8. – Текст : непосредственный.

Abstract: The current approaches and mathematical means of modeling educational systems are considered from the perspective of analyzing the model adequacy requirement as an indispensable property that increases the objectivity of scientific judgments due to the hybridization of model constructions of various classes. The mathematical development of the problem of multilevel weighted optimization of the competence model, as well as a systematic assessment of the formation of competencies using the methods of multifactorial personality research and fuzzy logic is presented. The structure and basic models of the life cycle management complex of a professional educational program are proposed, which take into account modern requirements for the formation and evaluation of competencies, as well as their systemic nature. A new convergent paradigm of vocational education has been formulated and scientifically substantiated, which supports the synthesis of developed methods and hybrid models into a single model-instrumental measuring complex. For managers and teachers of educational organizations, as well as postgraduates and undergraduates specializing in the field of management in social and economic systems, hybrid mathematical modeling.

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103. Д10-21/85994

Скляр, А. Я. Математическое моделирование экономических процессов на основе принципа максимума полезности : монография / А. Я. Скляр ; Министерство науки и высшего образования Российской Федерации, МИРЭА – Российский технологический университет. – Москва : МИРЭА – Российский технологический ун-т, 2021. – 180 с. : ил. – Библиогр.: с. 174-180 (114 назв.).– ISBN 978-5-7339-1567-8. – Текст (визуальный) : непосредственный.

Abstract: This monograph presents the results of research in the field of modeling both macroeconomic and microeconomic processes based on mathematical models using the principle of maximum utility. The monograph includes materials on modeling production and consumption in closed and open systems; modeling supply and demand, the dynamics of production development depending on investment processes. The issues of analysis of empirical data, primarily related to economic statistics and identification of trend and noise components, are considered separately. In addition, the possibilities of applying the proposed economic models in the analysis of historical processes are being investigated.

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104. Трегуб, И. В., Инструменты анализа финансовых рынков. Часть 1. Технический анализ. Разработка торговых систем : монография / И. В. Трегуб, А. В. Трегуб. – Москва : Русайнс, 2020. – 206 с. – ISBN 978-5-4365-5426-6. – URL: https://book.ru/book/938106 (дата обращения: 25.07.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The book presents the theory and modern practical examples of financial market analysis based on the use of technical analysis tools. Methods and practical examples of portfolio investment are proposed. The methodology of forecasting bubbles in financial markets and algorithms for the development of trading systems are described.br /The materials of the book will be useful to students and postgraduates studying financial markets, mathematical modeling, simulation modeling, university teachers, students of institutes of retraining and advanced training, practical economists, investors trading in financial markets.

105. Трегуб, И. В. Методы анализа и планирования экономической динамики : монография / И. В. Трегуб, А. В. Трегуб. – Москва : КноРус, 2021. – 185 с. – ISBN 978-5-406-08669-8. – URL: https://book.ru/book/941505 (дата обращения: 05.07.2022). – Access mode: for authorized users. –Text : electronic.

Abstract: The book presents modern methods of analysis and planning of economic dynamics using mathematical and computer modeling of economic systems on practical examples. The analysis of economic systems is given in detail, all stages of building models describing the relationships in the economy are considered, which is an important factor for planning, forecasting and decision-making. The materials of the book will be useful to undergraduates and postgraduates studying econometrics, simulation modeling, mathematical modeling of economic dynamics, operations research, university teachers, students of institutes of retraining and advanced training, practical economists.

106. Фроловский, В. Д., Модели, методы, алгоритмы компьютерного проектирования манекенов и одежды : монография / В. Д. Фроловский. – Москва : Русайнс, 2020. – 249 с. – ISBN 978-5-4365-6349-7. – URL: https://book.ru/book/939457 (дата обращения: 25.07.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The paper considers constructive models, methods, algorithms for parametric representation of objects with a complex surface; procedures that enable the generation of individual models with specified parameters; 3D methods for constructing computer dummies taking into account the peculiarities of posture, clinical features of the spine. br / Methods of mapping surfaces with non-zero Gaussian curvature to a plane, procedures for modeling the behavior of tissue on the surface of mannequins are presented; methods of visualization of design results, modeling of the operating conditions of the designed product, etc. We are surprised at the creative activity of musicians, artists, designers, stylists, but they all use and need computer help. The three-dimensional models and methods presented in this paper are intended for specialists in the garment industry: designers, designers, as well as all those who are interested in the problems of designing clothes. They can also be useful for CAD software developers, undergraduates and postgraduates studying information technology, mathematical modeling, computer science.

107. Д10-20/82776

Чернов, В. П. Математическое и компьютерное моделирование экономических процессов : монография / В. П. Чернов, Г. М. Фридман ; Санкт-Петербургский государственный экономический университет. – Санкт-Петербург : Изд-во Санкт-Петербургского гос. экономического ун-та, 2020. – 221 с. : ил. – Библиогр.: с. 213-218 (67 назв.). – ISBN 978-5-7310-5092-0. – Текст (визуальный) : непосредственный.

Abstract: The monograph presents a number of basic methods of mathematical and computer modeling of economic processes. The conceptual apparatus and theoretical material are presented in the form of a system of strict definitions and theorems, provided with detailed proofs, explanations and examples. Special attention is paid to the possibilities of computer implementation of models using Microsoft Excel and Wolfram Mathermatica. These tools open up a wide field of experimental analysis of solutions, the construction of a holistic economic policy, optimization calculations. Examples of computer implementation of models are given, instructions for self-construction are given, exercises (with answers) for individual work are formulated. The simplicity of the apparatus used and the detail of the presentation make it possible to use the materials of the book in teaching university students in the areas of "Economics" and "Management". The results of the last chapters, which study the properties of stable trajectories and basic models of economic dynamics, are of interest to graduate students and researchers.

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108. Ар21-7642

Чечина, А. А. Математическое моделирование транспортных потоков на основе теории клеточных автоматов : специальность 1.2.2. «Математическое моделирование, численные методы и комплексы программ» : автореферат диссертации на соискание ученой степени кандидата физико-математических наук / Чечина Антонина Александровна ; Федеральный исследовательский центр Институт прикладной математики имени М. В. Келдыша Российской академии наук. – Москва, 2021. – 26 с. :цв. ил. – Библиогр.: с. 24-26 (17 назв.). – Текст : непосредственный.

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109. Ар21-1785

Чирков, Б. В. Метод и алгоритмы управления движением людских потоков в динамической среде : специальность 05.13.18 «Математическое моделирование, численные методы и комплексы программ (технические науки)» : автореферат диссертации на соискание ученой степени кандидата технических наук / Чирков Борис Владимирович ; Удмуртский государственный университет. – Ижевск, 2021. – 23 с. : ил. – Текст : непосредственный.

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110. Шаталова, А. Ю. Нечеткое моделирование в задачах оптимального инвестирования в условиях неопределенности : монография / А. Ю. Шаталова, К. А. Лебедев. – Москва : Русайнс, 2020. – 136 с. – ISBN 978-5-4365-6624-5. – URL: https://book.ru/book/939362 (дата обращения: 25.07.2022). – Access mode: for authorized users. – Text : electronic.

Abstract: The monograph describes an approach that allows us to formally describe the emerging uncertainties in linear optimization problems. A generalized parametric alpha-level method of lambda continuation of the fuzzy linear programming problem is considered. Two methods are proposed in the model, taking into account the extensions of the binary fuzzy relation ("strong" and "weak"). The paper describes a simulation study that provided a set of stable statistics confirming the capabilities of the method. Using the theory described in this monograph, the decision-maker receives more information showing the behavior of the system with small changes in input parameters in order to make more informed conclusions about the choice of financing of an investment project. This monograph uses the Altman model, the apparatus of the theory of fuzzy sets and mathematical simulation in conditions of high uncertainty, in order to give more information to the person making the decision on the creditworthiness of the enterprise, as well as the possible impact of an error on the conclusion of bankruptcy of the enterprise when calculating economic indicators. The improved Altman model, developed initially in two ways (the root-mean-square integral approximation is used to accurately calculate the quantitative assessment of creditworthiness and the fuzzy sets apparatus in order to order the sets according to the degree of confidence in the obtained probability), is expanded by presenting the input data as triangular fuzzy numbers. As a result of the work done, it was possible to construct an algorithm for assessing the creditworthiness of a particular enterprise, which is based on a continuous dependence of the probability of bankruptcy on the value of the Altman function.