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Information × Registration Number 0224U032015, 0123U104141 , R & D reports Title Modern methods of mathematical modeling in theoretical, technical and natural problems. Actual problems of studying mathematics in higher education popup.stage_title Head Desiatskyi Serhii P., Кандидат фізико-математичних наук Registration Date 12-07-2024 Organization State Higher Educational Institution "Azov State Technical University" popup.description2  Object of study - mathematical and computer modeling for abstract, technical and economic objects, methods of teaching mathematics at a technical university based on web technologies. The purpose of the research is to study processes in various fields of natural science, economics and technology by creating mathematical models, analyzing them using mathematical methods and computer modeling. Development of new methods of teaching mathematics. The research method is analytical and numerical modeling. Methodological developments, such as testing students using information and computer technologies. The use of modern artificial intelligence systems. Research results: The flow of one and several plates, differently placed in space, is modeled by the method of discrete vortex frames using GPUs. Calculations indicate that the use of GPUs makes it possible to significantly increase the computational speed without significant loss of accuracy. Methods for constructing symmetric equations of paired linear regression, i.e., equations that describe the same regression line when the choice of the independent variable is changed, are considered. To create the equation, an objective function based on generalized averages and Ehrenberg's formula is used. The solution to the problem of harmonic vibrations of a piecewise inhomogeneous region consisting of four different elastic prismatic bodies soldered together along the side surfaces is constructed within the framework of the modified superposition method. The main aspects of the use of web-based technologies in science and education, such as access to scientific information, virtual laboratories, virtual laboratories, learning management systems, interactive teaching materials, and others, were considered. The decision-making systems with artificial intelligence are studied. The advantages of systems based on large language models such as ChatGPT-4 are analyzed. Product Description popup.authors Borzilo Oksana O. Bulanchuk Halyna H. Hrafov Viktor V. Desiatskyi Serhii P. Lopatenko Olena V. Nosovska Svitlana Ye. Ostapenko Artem O. popup.nrat_date 2024-07-12 Close