Кафедра прикладної математики

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Research Laboratory

Research laboratory “Modeling of Stochastic Processes”

Department of AM operates in the aud. 27-z, building “Z”.

Main areas of work:

• Stochastic models and methods in energy systems

• stochastic models and methods of detection, recognition, classification and high-precision tracking of moving objects in the land, air and sea environment

• stochastic models and methods of mathematical and computer modeling of trajectories of objects in ground, air

• Mathematical modeling and optimization of non-stationary non-isothermal modes of transport and distribution of natural gas in gas transmission systems

• Interval analysis and its applications

• Fractal and multifractal analysis of self-similar stochastic processes

• Method of R-functions in mathematical modeling of physical and mechanical fields

• Geographic information systems and technologies in energy systems

• Mathematical modeling and numerical analysis of computed tomography images

 

The head of the laboratory is Andriy Tevyashev Head of the Department of PM, prof., Doctor of Technical Sciences.

Members

 

Staff membersPart-timers
Boyrska U.VTevyashev A.
Kolzdin A.V.Yesilevskyi V.
Dolhobrod O.
Litvyn O.

 

Connection with the educational process

(connection with educational programs, specialties, involvement of applicants for higher education, student science)

The results of research are used in the educational process in the preparation of bachelors and masters in educational programs “Applied Mathematics”, “Systems Analysis”, “Systems Analysis and Management” specialties “Applied Mathematics”, “Systems Analysis”


State budget topics of research

№ 254-5
Development of models, methods and tools for structural and 
parametric optimization of engineering networks with leaks.
01.2011-
12.2013
№275-2
Investigation of the complexity of factor-ring transformations for directional 
encryption.
Analysis of the state, definition of the main directions of development, unification, 
standardization,
 improvement, development and implementation of cryptographic
 systems, including the EDS system at the national level
 and public key infrastructure at the international level.
01.2014-
2.2014
№ 293-4  Development of mathematical models and methods of managing the sustainable

development of housing and communal services of the city

01.2015-
12.2017
д/б № 328-2 Development of the information-analytical subsystem of the optical-electronic

station of tractors in the region for the field-run viprobauan and non-rooted missiles, artillery and rocket projectiles

2019-
2022
№ 338-2 Development of technology for estimating the parameters of the trajectories of aircraft with the use of joint processing of the results of trajectory measurements coming from the UES and FDRS2021-2022

Household contract work

№11-32
Research and experimental development of special software for the control 
system of interference in the technological process of transportation of 
hydrocarbon raw materials on the section of the gas pipeline with two 
metering units. The customer of URA LLC is the company 
"SPETSVUZAVTOMATYKA". Customer of Kharkivvodokanal Municipal 
Enterprise. Assessment of resource saving potential of water supply 
systems of Donets Water Treatment Complex of a separate subdivision 
of Kharkivvodokanal Municipal Enterprise. Customer of Kharkivvodokanal.
2011-
2013
 №16-01
Customer of Kharkivvodokanal Municipal Enterprise. Assessment of 
resource saving potential of water supply systems of Donets Water
 Treatment Complex of a separate subdivision of Kharkivvodokanal 
Municipal Enterprise. Customer of Kharkivvodokanal.
2016-
2017
№17-05Assessment of the resource saving potential of the water supply systems of the Water Supply Complex
training “Donets” of a separate division of the Municipal Enterprise “Kharkivvodokanal”. Customer of Kharkivvodokanal.
2017
№  60 – 2018 Development of technology for detection and high-precision tracking of air objects2018-
2019
№ 105 – 2021  Development of technology for high-precision guidance of means of destruction of air objects2021

Scientific seminars on the basis of Research Laboratory “Modeling of stochastic processes”

Seminar
Reporter
Stochastic models and methods of operational management of energy systemsProf. AM, Tevyashev A.D.
Methods of solving computer tomographyProf. AM, Ph.D. Lytvyn O.G.
Identification of complex systemsAssociate Professor of AM, Ph.D. Kozyrenko L.O.

 

 

Received copyright certificates, patents:

  • Kobilin AM, Tevyashev AD Kobylin OA Patent of Ukraine for utility model №103045 dated 25.11.2015 “System for determining the parameters of natural gas transport in the pipeline section”
  • Kobilin AM, Tevyashev AD Kobylin OA Patent of Ukraine for utility model № 103044 “Method of determining and regulating the parameters of natural gas transport in the pipeline section”
  • Tevyashev AD etc. Patent of Ukraine for the invention №103512 from 25.10.2013 “Method of detecting leaks and criminal selections of liquid hydrocarbons from main pipelines”
  • Tevyashev AD, Dolgobrod AG Patent of Ukraine for utility model №98587 “Method of automated control and calculation of the mass of petroleum products on fuel bases and in tank farms during their storage in vertical tanks”
  • Tevyashev AD, Dolgobrod AG Patent of Ukraine for the invention №109866 from 12.10.2015 “Method of automated control and calculation of the mass of petroleum products on fuel bases and in tank farms during their storage in vertical tanks”

Other initiative works (monographs, etc.):

  • Monograph: Pipeline energy systems: Methodical and applied problems of mathematical modeling / Novitsky NN, Sukharev MG, Tevyashev AD et al. – Novosibirsk: Nauka, 2015. – 476 p.
  • An agreement on international cooperation has been concluded between KNURE and the Lublin branch of the Polish Academy of Sciences.
  • The Department of PM annually holds an international scientific and technical conference “Information Systems and Technologies” with the participation of the Polish Academy of Sciences.
  • The scientific journal ECONTECHMOD is published jointly with the Polish Academy of Sciences. Head of the department prof. Tevyashev AD is a member of the editorial board of the journal.
  • An agreement on cooperation in the field of education and science was signed between the University of Technology and Natural Sciences (Republic of Poland) and Kharkiv National University of Radio Electronics (Ukraine) in educational and scientific activities to improve teaching, research, exchange of achievements in teaching and research, mobility students and teachers.

Dynamics of publishing activity

(scientific metric databases Scopus, Web @ Science)

201520162017201820192020

Dynamics of publishing activity

(scientific metric databases Scopus, Web @ Science)

61021332267

 

Scientific work with students.
Scientific circles, seminars:

NameName and surname of the headNumber of participants
1.Chaos, fractals, waveletsKirichenko L.O.

Doctor of Technical Sciences, Professor

15
2.Stochastic models and methods of operational control of energy systems.Tevyashev A.D.

Doctor of Technical Sciences, Professor

8
3.Mathematical modeling and numerical analysis of non-stationary modes of transport and distribution of target products. Gusarova I.G.

Candidate of Technical Sciences, Associate Professor

10
4.Methods of solving computed tomography Litvin O.G.

Doctor of Physical and Mathematical Sciences, Professor

8
5.School of the Olympic Reserve in Mathematics  Sidorov M.V.Professor,

Doctor of Physical and Mathematical Sciences, Associate Professor

9

 

Competitive works with students who won prizes

YearForums, conferences (with publication of abstracts)All-Ukrainian student competitions. Science. works (awards)Published articlesParticipation in competitions (awards)
2015265 (1 winner)61 tour– 31,
2 tour– 2
2016381 (1 winner)01 tour– 48,
2 tour– 5
2017262(2 winners)71 tour– 58,
2 tour– 4
2018302
2019261 (1 winner)31 tour– 16,
2 tour– 3
20202041 tour– 12,
2 tour– 5

Research work of students:

201520162017201820192020
Prizes at the All-Ukrainian Student Olympiads302255
Prizes for places at the All-Ukrainian competitions of student research papers11111
Participation in exhibitions111
Articles and abstractsй4+324+231+221+302+242+20

 

Training of highly qualified personnel. Dissertation defenses in dynamics.

2015201620172018201920202021
Dissertation defenses in dynamics
PhD
PHD
Doctor of Philosophy (since 2021)
0

0

3

0

1

0

1

0

1

2

 

 

1

 

 

Promising areas in which research is planned:

  • Video image processing.
  • Development of mathematical, algorithmic and software for detection, high-precision tracking and trajectory measurements of moving objects in air, land and sea spaces.

Media content

COMPUTER VISION

 

NIGHT OF SCIENCE

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