Mathematical Simulation of Contaminant Flow in Closed Reservoir

A mathematical model of the propagation in flooded mine lightweight contaminant due to allocation of groundwater is considered. Mathematical model was based on an analysis of experimental data and using concept and methods from reactive media mechanics. The boundary-value problem is solved numerically using the finite volume method. The distribution of fields of velocities and concentration of impurity particles in a flooded mine have been obtained at different times. These results can be used to analyze mining water treatment process due to environment and evaluate its further possible improvements

Scattering of evanescent wave by two cylinders near a flat boundary

Two-dimensional problem of evanescent wave scattering by dielectric or metallic cylinders near the interface between two dielectric media is solved numerically by boundary integral equations method. A special Green function was proposed to avoid the infinite integration. A pattern with a circular and a prolate elliptic cylinders, respectively, is suggested to simulate the sample and the probe in near-field optical microscopy. The energy flux in the midplane of the probe-cylinder is calculated as a function of its position.Comment: 10 pages, 4 figure

On the research of the methodology of mathematization of pedagogical science

Topicality of the study is driven by the fact that the new fundamental mathematical ideas and methods of mathematics arise in the new era of mathematization of science and have a great influence on the formation of methodological culture of educational research in recent decades. The aim of the article is to identify the important aspects of the methodology of mathematization of pedagogical science. The leading approach to the study of this problem is a philosophical and mathematical analysis of aspects of the methodology of mathematization of pedagogical science that allows to consider in complex the aspects revealing in the light of matematization of sciences. The analysis of the specified aspects describes the main features of a methodological interaction between mathematical and pedagogical science, the influence of the ideas and methods of modern mathematics and mathematical culture on pedagogical research, on the formation of conceptual and terminological bases of correct logic and of the reasoning of pedagogical research. The materials of the article can be used in the correct use of ideas and methods of modern mathematics during the study of the characteristic features of pedagogical objects, processes and phenomena. © 2016 Perminov et al

Principles of integrative modelling at studying of plasma and welding processes

The relevance of the problem subject to the research is conditioned by need for introduction of modern technologies into the educational process and insufficient adaptation of the higher school teachers to the applied information and automated procedures in education and science. The purpose of the publication consists in the analysis of automated procedures efficiency in engineering training and development of structurally functional model of information skills for students and teachers during their teaching in welding and allied technologies. The leading approach to research of this problem is the structurally functional method of the objects studying. This method based on representation of technological structure as hierarchical sequence of the interconnected devices and division of a matter into objects and means of influence that allows to allocate the processes providing functioning between means of influence. In the publication the structurally functional models of information skills formation for students and teachers in engineering and natural-science training are presented. The materials of the publication can be useful for students and teachers at studying of welding and allied technologies and development of scientifically-methodical maintenance for engineering and natural-science disciplines. © 2016 Anakhov et al

Improvement of firebrand tracking and detection software

Burning and glowing firebrands generated by wildland and urban fires may lead to the initiation of spot fnes and the ignition of structures. One of the ways to obtain this infonnation is to process tliennal video files. Earlier, a number of algorithms were developed for the analysis of the characteristics of fu'ebrands under field conditions. However, they had certain disadvantages. In this regard, this work is devoted to the development of new algorithms and their testing

Modelling Methodology as the Basis for Implementation of an Interdisciplinary Approach in the Training of Students of Pedagogical Specialties

Introduction. Nowadays, according to the tendencies of education modernisation, an interdisciplinary approach is taking a leading role, based on deepening the links between education and science, which is the most acute problem in the conditions of large amounts of scientific information. The implementation of the interdisciplinary approach is based on the methodology of modelling using information technologies, as a methodology of a new post-industrial stage of scientific culture of research in the digital age, which is of fundamental importance in modern teacher training.The aim of the present article is to investigate the aspects of modelling methodology using information technologies in the implementation of an interdisciplinary approach in the training of students of pedagogical specialties.Methodology and research methods. In the course of the research, a modelling methodology, a systematic approach, the analysis and generalisation of the results of academic works on the implementation of interdisciplinary, cultural, and meta-subject approaches in education were employed.Results and scientific novelty. The authors conducted the analysis of interdisciplinary approach (interdisciplinary integration) as a leading trend in post-industrial education. It is justified that interdisciplinary training, implemented on the basis of modelling methodology, is of fundamental importance in the formation of general-cultural scientific ideas among students and in their awareness of science as the ideal scientific knowledge. Various aspects of modernisation of teacher training based of modelling methodology are investigated. The main peculiarities of implementation of cultural and meta-subject approaches in the selection of the content of profile training of future teachers are identified. It is revealed that interdisciplinary courses play an important role in the implementation of the interdisciplinary approach. The didactic and methodological principles for the development of model-theoretical interdisciplinary courses for future teachers are established. It is demonstrated that in accordance with the modelling methodology, the main didactic goal of such courses is to teach the implementation of stages for investigating solutions of research problems (objects of processes or phenomena) using information technologies.Practical significance. The materials of the article contribute to the implementation of the interdisciplinary approach in the content of training of students of pedagogical specialties. Also, the research findings might be useful for both theorists of education and for teachers, who are engaged in professional training of students of pedagogical specialties, and all those who are interested in the further development of educational system.Введение. В модернизации современного образования ведущую роль начинает играть междисциплинарный подход, основанный на углублении связей образования с наукой, что является сегодня наиболее острой проблемой в условиях лавинообразного роста научной информации. В основе реализации междисциплинарного подхода лежит методология моделирования с использованием информационных технологий как методология новой постиндустриальной ступени научной культуры исследований в цифровую эпоху, имеющая фундаментальное значение и в подготовке современных педагогов.Цель статьи – исследовать аспекты методологии моделирования с использованием информационных технологий в реализации междисциплинарного подхода в подготовке студентов педагогических направлений.Методология и методики. В исследовании использовались методология моделирования, системный подход, анализ и обобщение результатов работ по реализации междисциплинарного, культурологического и метапредметного подходов в образовании. Результаты и научная новизна. Проведен анализ междисциплинарного подхода/интеграции как ведущей тенденции в постиндустриальном образовании. Обосновано, что междисциплинарность подготовки, реализуемая на основе методологии моделирования, имеет фундаментальное значение в формировании у студентов общекультурных научных представлений и в осознании ими науки как идеала единого научного знания. Исследованы различные аспекты модернизации подготовки студентов педагогических направлений на основе методологии моделирования, определены основные особенности реализации культурологического и метапредметного подходов в отборе содержания профильной подготовки будущих педагогов. Выявлено, что в реализации междисциплинарного подхода важная роль принадлежит междисциплинарным курсам. Обоснованы дидактические и методические принципы разработки теоретико-модельных междисциплинарных курсов для студентов – будущих педагогов. Показано, что в соответствии с методологией моделирования главной дидактической целью таких курсов является обучение реализации этапов решения задач исследования (объектов процессов или явлений) с использованием информационных технологий. Практическая значимость. Материалы статьи вносят свой вклад в реализацию междисциплинарного подхода в модернизации подготовки студентов педагогических направлений и будут интересны как теоретикам образования, так и преподавателям, ведущим профессиональную подготовку студентов педагогических направлений и всем, кто заинтересован в благополучном будущем системы образования