Кафедра прикладної математики (ПМ)
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Публікація Метод динамического баланса в газотранспортных системах(ХНУРЭ, 2008) Набатова, С. Н.; Мамедова, А. А.In the given work the method of dynamic balance which allows not only to diagnose a condition of a mode of transport of natural gas on a gas pipeline is considered, and to define infringement of balance of natural gas in GTS. It is received possibilities of the control of dynamic balance of natural gas in real time, that allows to diagnose a condition of a mode of system and also to reveal and estimate size of nonproductive losses and criminal selections of natural gas on fragments GTSПублікація Об одном из методов оценивания показателей надежности газотранспортных систем(ХНУРЭ, 2008) Набатова, С. Н.; Мамедова, А. А.In the given work the problem of the analysis of reliability of compressor station, in particular, the approach to an estimation of indicators of reliability is considered. Use of the structurally logic scheme of reliability TS that allows to solve both a direct (to define reliability depending on time and a reservation method) and return (to define time or a method of reservation depending on reliability) problem of reliability is offered LS. Thus, the considered approach is practically applicable for a wide range of problems.Публікація Математическое моделирование работы аппарата воздушного охлаждения при расчете нестационарных неизотермических режимов транспорта газа(ХНУРЭ, 2008) Гусарова, И. Г.; Буданцева, Ю. В.Work is devoted the questions of design of work of unit of aircooling at the calculation of the unstationary unisothermal modes of gas transport. A method and algorithm of decision of equalizations of mathematical model of the singlelane gasmain pipeline, consisting of two linear areas and compressor unit is offered. On the base of this algorithm was created a software product, being part of programmatic complex for the calculation of the modes of gas transport on an of multithread main gas pipeline.Публікація Системный анализ проблемы повышения качества и эффективности функционирования систем водоснабжения и водоотведения и путей её решения(ХНУРЭ, 2008) Тевяшев, А. Д.; Непочатова, В. Д.The given work is devoted to the modern condition and development of water pipes in Ukraine. The existing problems in this branch of facilities were considered. The author presents two the most efficient ways of the improvement of operation of water pipes, there are sonation and zonal fission.Публікація Архитектура муниципальной геоинформационной системы(ХНУРЭ, 2008) Губа, Н. И.; Попов, А. В.; Тевяшев, А. Д.; Ткаченко, В. Ф.Basic conceptual theses about decomposition and introduction of city information resourses that are the basis for city geoinformation system design and creation approach are considered. Organization and production structure and conceptual architecture of city geoinformation system are suggested. In order to decrease the costs of the development and introduction, the set of freely available software products PostGis/PostgreSQL as instrumental software means is proposed.Публікація Моделирование нестационарных режимов транспорта природного газа по многониточному магистральному газопроводу с учетом динамики работы запорной арматуры(ХНУРЭ, 2008) Гусарова, И. Г.; Каминская, А. В.The purpose of work is a mathematical design of the unstationary unisothermal modes of transport of natural gas in line sections of main gas pipelines taking into account the dynamics of work of constipation armature (valves, bolts, etc.) with a change speed of opening/closing of valves and evaluation of influencing of speed of blocking valves on distributing of parameters of gas stream on length of line sections of main gas pipelines in time.Публікація Метод оценки альтернативных вариантов функционального зонирования территории города(ХНУРЕ, 2008) Долгова, И. Г.; Новожилова, М. В.; Синельникова, О. И.Предлагается метод оценки альтернативных вариантов развития территорий города, который позволяет лицу, принимающему решение (ЛПР), провести комплексный анализ населенного пункта, определить ресурсный потенциал и выделить направления его стратегического планированияПублікація Производительность буферных асинхронных многоступенчатых сетей с произвольным числом приоритетных модулей памяти(ХНУРЕ, 2008) Евграфов, В. Н.Синтезируется математическая модель асинхронной многоступенчатой коммутирующей сети, которая применяется для оценки пропускной способности и времени отклика сети. Модель расширяется для случая произвольного числа приоритетных модулей памяти и случайно распределенного размера пакетов. Рассматривается влияние длинны буфера на общую производительность системыПублікація Об одном методе решения задачи оптимизации плановых режимов транспорта и распределения природного газа в городских газораспределительных сетях(ХНУРЕ, 2008) Тевяшев, А. Д.; Золотарев, Д. А.Рассматривается математическая постановка задачи оптимизации плановых режимов транспорта и распределения природного газа в многоуровневых газораспределительных сетях и метод ее решения. Данная задача относится к классу многокритериальных задач математического программирования с алгоритмически заданной недифференцируемой целевой функцией, алгоритмически заданными недифференцируемыми критериальными ограничениями, нелинейными ограничениями в виде равенств при двусторонней ограниченности переменных. Используются три модифицированных метода: деформируемого многогранника Нелдера-Мида; гидравлического расчета газораспределительных сетей; метод статистической линеаризации системы неявно заданных функций.Публікація Об одном методе расширения частотной области сходимости модели распространения волн в неоднородных средах(ХНУРЭ, 2009) Наумейко, И. В.; Сова, А. В.This work is devoted to the analysis of solutions of differential equations, that traditionally describe wave propagation in a nonhomogenious environment, for example, inside a screen. They also describe general situation in the system «Human-Machine- environment», that is a model for the process of radio electronic apparatus production and testing. An electromagnetic situation is determined by the Е and Н vectors – accordingly, electric and magnetic constituents of the field. The calculation formulas for two point Pade method are presented for «sewing» together the asypmptotic solutions of these equations in a high-frequency and low-frequency regions.Публікація Синтез системы оптимального стохастического управления технологическим процессом выращивания органических монокристаллов(ХНУРЭ, 2009) Тевяшев, А. Д.; Щелкалин, В. Н.; Суздаль, B. C.; Козьмин, Ю. С.The problem of optimal stochastic control system synthesizing of technological process of organic monocrystals growing was considered for reception of monocrystals with guaranteed characteristics.Публікація Дистанционное тестирование знаний по курсу «Оптимальное стохастическое управление»(УАДО, 2004) Адаменко, В. А.; Тевяшев, А. Д.System of complex automated testing of knowledge gained by students has been developed. Thereto was written the program with programming language Delphi named «Test program». This program is universal and allows working with different tests, editing and running them. System of complex autotesting contains elements of current and final knowledge check-out.Публікація Оптимизация расположения источников при электроимпульсном дроблении(ХНУРЕ, 2008) Наумейко, И. В.; Сова, А. В.The object of the work is the process of hard fractions’ crushing in liquid mixture by a series of electric impulses. Purpose of the work is construction optimum location of electrodes in a work area to determine maximal area of coverage by impulsive influence. Simulation techniques and gradient optimization methods are chosen as the methods of research. The calculations are realized in Mathematica-5.0 environment. During research the great increase of crushing area is obtained. For the given object optimization problem is new and claimed.Публікація Modeling of processes of spontaneous ignition using Rothe’s and two-sided approximation methods(2023) Kalinichenko, A.; Sidorov, M.This work is devoted to the Rothe’s method in combination with the twosided approximation method for the spontaneous ignition processes modeling. Mathematical model of self-ignition processes presented as an 2D initialboundary value problem for a semilinear heat conduction equation. The power of the internal heat source is approximated by exponential dependence, based on the Arrhenius equation.Публікація University Teachers’ Psychological State During the Stress of Online Education after Pandemic in Wartime in Ukraine. / I. Kostikova, L. Holubnycha, Y. Sytnykova, T. Shchokina, , N. Soroka, & S. Tarasova(2023) Ситникова Ю. В.; Костікова І. І.; Голубнича Л. О.; Щокіна Т.М.; Сорока Н. А.; Тарасова С. О.Online education is a world need. Many universities continue providing online education. The frst stress from pandemic and online teaching went on and university teachers managed to cope it. The next stress from wartime in Ukraine came and online teaching goes on, so university teachers manage to cope it again. The purpose of the research is to show university teachers’ psychological state during online education after pandemic in wartime in Ukraine. For achieving the stated purpose, we applied the methods of analysis and synthesis, questionnaire, calculating methods, in particular, MS Excel. The questionnaire consisted of questions help to describe the psychological teachers state, fear, stress, anxiety. The participants of the research became 49 university teachers from Ukraine. The results are as follows. The most common negative impacts on mental health are depression, isolation, family danger, possibility of being attacked, pressure from the war, lack of social life. The most constructive impacts on mental health are morale, social media, chatting, good war news. It is recommended to use different resources to overcome university teachers’ stress. They are faith, feelings, socialization, imagination, thinking, physiological activity. The conclusion is online education after pandemic in Ukraine is still stressful because of wartime. It is recommended to use different resources to overcome university teachers’ stress.Публікація Challenges for universities to online technologies implementation in the conditions of war in Ukraine(2024) Sytnykova, Y.; Petrenko, T.; Bezkorovaina, O.; Ptushka, A.The experience of online education in Ukraine during wartime is unique. After the Russian-Ukrainian war beginning, in a month of so-called "holidays", in spring 2022, from April, 1, by the order of the Ministry of Education and Science of Ukraine and the rectors' orders of universities, online education started. The classes were online, and it was difficult to overcome the war stress, but the experience of the pandemic taught everyone to work with online technologies such as Zoom, Meet, and Google Classroom. Teaching students online was carried out as online as offline with the university platforms like Moodle and others for offline learning, they contained all educational materials from the previous two years of the pandemic, tasks, quizzes, and tests. The purpose of the research is to identify pedagogical, psychological, and technical challenges for teaching university students during the war in Ukraine with the survey method. The survey was conducted online with 65 university lecturers and 122 students from 5 universities in Kharkiv, Ukraine. The pedagogical, psychological, and technical difficulties were analyzed. The questions were aimed at studying such aspects as 1) pedagogical and psychological difficulties: the teachers/students' readiness for online teaching/learning, 2) pedagogical difficulties: the procedures of online teaching/learning and technologies, in particular, methods, forms, means of giving/mastering knowledge, 3) psychological and technical difficulties faced both by teachers and students. The results are as follows. The acquired teaching and learning experience with online technologies helped to establish online education in wartime positively in general. The main pedagogical difficulties were overcome with basic methods (online and offline), teaching forms such as lectures, seminars, and practical classes online, and offline, and, finally, different tools/means/platforms (video/audio recordings, corresponding emails, social networks, Moodle platform, etc.). The psychological state of both teachers and students in the circumstances of online education was also examined. The most common psychological difficulties with online learning were connected with external ones as constant shelling, and air alarms as with internal ones as stress, anxiety, worries, depression, burnout, sadness, and frustration. The technical difficulties were connected to blackouts, lack of Internet connection, power outages, evacuation, changes in living and working conditions, relocations, and the impossibility of using laboratory equipment. The conclusion is despite all online difficulties, the quality of teaching did not change significantly, thanks to the clear understanding that it is a necessity to teach and learn online.Публікація Teaching Technologies Online: Changes of Experience in Wartime in Ukraine(2023) Sytnykova, Yu. V.; Shlenova, M.; Kyrpenko, Y.; Konoplenko, N.; Hrynchenko, I.; Kyrpenko, Y.Online higher education in Ukraine has undergone changes during the Russian-Ukrainian war. Teaching online in wartime is stressful, but also encouraging; it is a way to overcome the stress of war. The purpose of the research is to showcase the changes in experience during wartime in Ukraine with respect to teaching methods and online technologies. To achieve the purpose, the methods of analysis and synthesis, questionnaires, and calculating methods, particularly MS Excel, are applied. There were 49 university teachers from Ukrainian government universities who took part in the study. The survey aims to fnd out how university teachers are ready to use new online teaching methods and techniques, to determine the priority in the method choice, and to indicate how to organize and have online lectures and practical classes. The following were the results observed: In the current situation, the relationship between teachers and students has become completely virtual. The teachers’ responsibility towards their students has increased signifcantly. Teachers are convinced of the global trend prospects of perceiving online teaching as one of the relevant and appropriate education forms in wartime Ukraine. It was online teaching that allowed students to continue their learning at Ukrainian universities, as many students were forced to leave their homeland, Ukraine, to save their lives. The conclusion is that teachers became more confdent in assessing their skills to organize online teaching, and they tried to develop them by mastering new Internet technologies for transferring educational content.Публікація University as a center for supporting the mental health of young people during the war in Ukraine(2024) Sytnykova, Yu. V.War is a word that burst into the lives of Ukrainians millions and stayed with them for almost two years. It has become an everyday occurrence for our citizens: to hear explosions, see flames, cry, be afraid, grieve, and cry again because of the loved one’s loss. We see their pain, suffering, and destruction, but we do not see the inner pain and hidden suffering, that every Ukrainian carry in his or her heart. This is the pain that comes through the eyes of witnesses to the horrors of war, the pain that settles in the heart of every Ukrainian and pulsates depressingly in the head, causing the psychological imbalance in the personality as a whole. Internal imbalance turns into the external psychological instability state. So, the urgent qualified psychological assistance and supportive social measures are necessary now.Публікація Chat technologies in teaching mathematics disciplines in higher education: a correct using strategy(2024) Sytnykova, Yu. V.The current trends in the dialogue technologies utilizing in higher education is considered, new realities in the use of chat technologies to improve the educational process are highlighted. The advantages and disadvantages of implementing chat technologies based on ChatGPT in a studying mathematical disciplines are emphasized. Conclusions are drawn about the further correct implementation of chat technologies in higher education.Публікація Розпізнавання рівня шуму фрактального броунівського руху(ХНУРЕ, 2024) Авсітідійський, М. М.This work focuses on developing a methodology for assessing the noise level of fractal Brownian motion using machine learning techniques, particularly a convolutional neural network. Input data comprise fractal Brownian motion realizations with varying degrees of noise, and neural network approaches are utilized for their recognition. The findings shed light on the efficacy and reliability of employing such machine learning methodologies in the domain of noise assessment within fractal systems.