Department of Mathematical Modelling

The Department of Mathematical Modelling of the Faculty of Cybernetics

The Head of the Department of Mathematical Modelling, Doctor of Science in Physics and Mathematics, Professor Dzhun Yosyp Volodymyrovych, Member of the International Pedagogical Academy (Moscow) and European Safety Association (Krakow).

The Research Development of the Department (HDP): "Non-Classical Data Mining Tools: Theoretical Foundation and Software" (HDP State Registration Number: 0118U001564, HDP deadline 06.2018-05.2022).

I. The main directions of the scientific activity of the department

1. The development and implementation of tools of "Non-Classical Errors Theory of Measurements" in the practice of scientific research and in the educational process.
2. The introduction of topical methods of constructing mathematical models of natural, social and economic phenomena, in diploma design and in teaching and methodological support of the master's disciplines.
3. The implementation of modern methods of diagnostics of mathematical modelling in regression spectral and other dynamic series modelling.
4. The development of robust estimation software for the processing of large-scale space, astronomical, economic, medical, and other measurement and statistical information.
5. The software of generalised least squares (MNCs) generalisation schemes based on Fisher information maximisation.

The implementation of the above mentioned topics 1-5 is carried out within the framework of the scientific school of Professor Dzhun Y.V.

6. The development of methodological bases for the use of information technologies in high school and school.

7. The development of theory and practice of using integrated tasks in high school and school.

The development of the topics 6-7 is carried out within the framework of the Scientific School of the Vice-Rector for Information Assurance of the Academician Stepan Demianchuk International University of Economics and Humanities, Associate Professor, PhD in Pedagogy Yasinskyi A.M.

8. Creating a computer-oriented system for studying computational mathematics at the university

9. Programming and implementation of micro-controllers in the process control system.

The topics 8-9 are performed within the scientific school of Associate Professor, PhD in Pedagogy Lotiuka Yuriia Hryhorovycha.

II. The main directions of training of specialists

The Department of Mathematical Modelling trains masters in the field of knowledge: 12 Information technologies in the speciality: 122. Computer Sciences in the Educational Program “Computer Science and IT”. Educational Qualification: Master of Computer Science, Professional Qualification: Software Engineer. Duration of study: 1 year and 6 months. Licensed full-time education for 10 people and in the field of knowledge: 01 Education / Pedagogy in the speciality: 014 Secondary Education (Informatics), by the educational program: Secondary Education (Informatics and Mathematics) Educational Qualification: Master of Secondary Education. Professional Qualification: Teacher of Informatics and Mathematics. Duration of study: 1 year and 6 months. The license amount of the set for full-time education is 20 persons, for part-time education 20 persons. Specialities 122 Computer Science, 014 Secondary Education (Informatics) is very popular by bachelors and IT specialists, mathematics and computer science teachers in schools, since the master's degree is the first academic degree, and therefore grants the right of teaching and educating in higher education institutions. In addition, the masters of the speciality 122, 014 have almost twice the average salary and 100% employment as the statistics show.

III. Inventive and Patent Activity of the Department.

Professor Dzhun Y.V. took part in the patent activity within the joint scientific group of specialists of NUWEE (National University of Water and Environmental Engineering) and the Ministry of Education and Science at the Regional State Administration. The purpose of this combined group was to create filtration devices for (Nuclear Power Plant) NPPs based on the use of the unique properties of the Rivne basalts. The following patents were obtained as the result of the activity of the group: 

1. Utility Model Patent No. 22205 "Use of Shredded Basalt Rock as Filtration Ferromagnetic Nozzle". –Dvorkin L.Y., Skrypnyk I.H., Harashchenko V.I., Ishchuk O.O., Dubchak V.A., Dzhun Y.V., Andreiev O.A., Vovk O.V., Huntik B.I., Registered in the State Patent Register of Ukraine on Utility Models on 25.04.2007.

2. Patent for the Invention No. 90660 "A method of manufacturing a filtration nozzle in the devices for the magnetic separation of dispersions in liquids and gases. Registered in the State Patent Register of Ukraine on Inventions »25.10.2010.

In addition, for a long time (1998 - 2004) Viktor Antonovych Bernadskyi carried out his successful activity at the Department of Mathematical Modelling. He is Honoured inventor of Ukraine, laureate of the prestigious "Gold Medal of the European Scientific Chamber" for the creation of the devices of hurricane control in which powerful wind energy was used. Bernadskyi V.A. carried out his inventive activity together with the most talented students of the Academy of Sciences of Rivne and Rivne region.

The Department of Mathematical Modeling cooperates with 18 educational, scientific and industrial institutions

The international collaboration of the Department of Mathematics Modelling and the PHF Faculty at the University of Bratislava is an example of creative execution of a number of fundamental works in the development of non-classical mathematical modelling procedures. Particularly close scientific relations have emerged between the Department of Economics of the PHF at Bratislava University (Komica, Slovakia) and the Department of Mathematical Modelling at the Academician Stepan Demianchuk IUEH (Ukraine, Rivne). As a result of such cooperation, a joint scientific project of two named departments was successfully completed. It was called: "About Distribution of Stock Index Returns Ostilations". This project was awarded with a special grant from the University of Bratislava. (Project Executives: Professor of PHF Economics, Bratislava University, V. Hazda, Professor of Mathematical Modelling and the Project Manager Dzhun Y.)

The results of the research of this project have been published in prestigious European publications.

The long cooperation was rewarded back in 1998 with the D. Beshenei Pedagogical Institute, which is the leading institution in the field of introduction of the latest educational technologies into pedagogical practice. The cooperation of the Department of Mathematical Modelling with the above-mentioned Hungarian University was dedicated to the following important scientific problems:

• The problematic use of modern methods of mathematical statistics and non-classical procedures in pedagogical and psychological studies [Directors: Professor D. Venter (Hungary), Professor Dzhun Y. (Ukraine, Academician Stepan Demianchuk IUEH)];
• The Use of the Integral Tasks in Pedagogy (Head of Department - Vice-Rector for Information Assurance at Academician Stepan Demianchuk IUEH, Associate Professor Yasinskyi A.)

• Professor and a full member of the International Pedagogical Academy Dzhun Y. was awarded with the medal for active cooperation with the D. Beshenei Pedagogical Institute (Hungary).

Meeting with students after Professor Y.V. Dzhun's speech at Erasmus Rotterdam Readings at Tomas Bata University, Zlin, Czech Republic, 2009.

A special group of institutions which the department cooperates with are medical institutions. Rivne Regional Clinical, Medical and Diagnostic Centre, Danylo Galytsky Lviv National Medical University and Ophthalmic Medical Centre of Odessa National Medical University. These institutions are collaborating to create an integrated medical record of the patient's health based on the use of multi measuring averages and through collaborative publishing. Professor Dzhun Y.V. provides for medical scientists free consultation in the field of mathematical processing of medical statistical information while creating the evidence base for PhD and Doctoral Theses. In general, the cooperation of the department with foreign and native universities is carried out within the framework of publishing, scientific, educational activities, participation in jointly organized international and national conferences and internships.

Nachmed Rivne Regional Clinical, Medical and Diagnostic Centre, PhD in Medicine Pasichnyk M.S. and Professor of the Academician Stepan Demianchuk IUEH Dzhun Y.V. discuss problems of processing medical statistical information collected in radiation-affected areas of Rivne region.

Professor Dzhun Y.V. introduces to the scientific society his research "Non-Classical Errors Theory of Measurements". International Conference: "Problems and Possibilities for Higher Education and Economy Development in the 21st Century," (26-27.10.2017), Rivne, Academician Stepan Demianchuk IUEH.

Professor Dzhun Y.V and Director of the Minor Academy of Sciences at the Regional State Administration Andreiev O., near the control point of the Space Monitoring Station for Earth-based space and artificial objects.

It is worth noting the close relations between the Directorate of the Minor Academy of Sciences and the Head of the Department of Mathematical Modelling, Professor Dzhun Y.V. with the assistance of the Mykolaiv Astronomical Observatory transferred to the balance a modern visual telescope for monitoring Earth's space objects and communications satellites, as well as a radio telescope for monitoring meteors at distances up to 40,000 km from the Earth's surface. On the initiative of Professor Dzhun Y.V. the Director of the Minor Academy of Sciences Andreiev O. created the space monitoring station of the MAN, headed by Malynovskyi E.V. Now the talented children of Rivne and the region will be able to use in their research real bases obtained with the results of space monitoring of the Earth's objects It is also planned to transfer these databases to the World Data Centre at NASA (National Agency and Space Administration, USA).