Research

Overview

Active research is being conducted at the Applied Mathematics Department by its faculty, graduates, and undergraduates. The research is being led by:

Oleg Chertov, Head of the Department, ScD
Ihor Orynyak, Professor, ScD
Pavlo Maslianko, Associate Professor, PhD
Sergiy Syrota, Associate Professor, PhD

The main research areas are as follows:

Data Science:
- data mining
- privacy-preserving data publishing
- soft computing
- recommender systems
- non-dyadic wavelet transforms
- methods for fraud detection in context advertising systems
Mathematical and Computer Modeling:
- strength and reliability of pipeline systems
- computational methods for solving partial derivative equations
- computational fluid dynamics
- finite elements methods
- regression models and identification theory
Systems Engineering:
- theoretical aspects of developing complex geographically distributed multilevel information systems
- developing of the theory of corporate informatization as the system of scientific, technical, and economic processes and models

Research funding at the Applied Mathematics Department during recent five years has amounted around 1400 K grn.

In the recent years, the following theses have been defended at the department:

ScD Theses:

20/02/2018, Valerii Los, “Parabolic initial-boundary value problems in Hormander spaces” (scientific advisor — ScD, Prof. Volodymyr Myhailets)
03/05/2014, Oleg Chertov, “Models, information technologies and architecture of demographic information processing systems” (scientific advisor — ScD, Prof. Oleksandr Molchanov)

PhD Theses:

10/10/2018, Vyacheslav Liskin, "Information technology and tools for automating the creation of ontologically controlled e-learning systems" (scientific advisor — PhD, Assoc. Prof.Sergiy Syrota)
07/07/2017, Marharyta Aleksandrova, “Matrix Factorization and Contrast Analysis Techniques for Recommendation” (scientific advisor — ScD, Prof. Oleg Chertov)
10/20/2016, Dan Tavrov, “Models, Methods and Information Technology for Providing Data Group Anonymity” (scientific advisor — ScD, Prof. Oleg Chertov)
11/30/2015, Sergiy Siryk, “Computational schemes and weight functions of finite element Petrov-Galerkin method for high-precision modeling of convection-diffusion processes” (scientific advisor — ScD, Prof. Oleksandr Molchanov)
11/19/2013, PhD student Oleksandr Maistrenko, “Business modeling of semistructured organizational systems” (scientific advisor — PhD, Lead Sc. Pavlo Maslianko)
11/19/2012, PhD student Andriy Riabushenko, “System modeling of portfolio investment problems” (scientific advisor — PhD, Lead Sc. Pavlo Maslianko)
10/29/2012, PhD student Anton Kobrynets, “Hydrodynamic Modeling of Radial Mechanic Constructions” (scientific advisor — ScD, Prof. Oleksandr Molchanov)

At present, the following postgraduate students are pursuing the Educational and Scientific level of higher education at our Department:

Third year of study:

Anton Kozyriev (academic advisor – Volodymyr Norkin)
Dmytro Koltsov (academic advisor – Igor Orynyak)

Second year of study:

Volodymyr Malchykov (academic advisor – Oleg Chertov)
Serhii Mirko (academic advisor – Pavlo Maslyanko)

First year of study:

Valerii Buslaiev (academic advisor – Oleg Chertov)
Dmytro Horodetskyi (academic advisor – Sergey Solovyov)
Mykola Davydenko (academic advisor – Violeta Tretynyk)
Kostiantyn Kulyk (academic advisor – Igor Orynyak)
Serhii Sakharov (academic advisor – Oleg Chertov)
Yaroslav Smolin (academic advisor – Viacheslav Liskin)
Maksym Shchoholiev (academic advisor – Oleg Chertov)
Vladyslav Yavtukhovskyi (academic advisor – Violeta Tretynyk)

Scientific Conference for Graduates “Applied Mathematics and Computing”

Since 2009, annual Scientific conference for undergraduates and graduates “Applied Mathematics and Computing” has been held at the Faculty of Applied Mathematics.

The conference, among others, includes “Applied Mathematics” section. Conference proceedings are published after the conference.

Collaborative Monographs Whose Joint Authors are Department Faculty

Since 2010, department faculty, graduates, and students participated in writing a number of collaborative monographs:

Chertov O. Two-Phase Memetic Modifying Transformation for Solving the Task of Providing Group Anonymity / O. Chertov, D. Tavrov // Recent Developments and New Direction in Soft-Computing Foundations and Applications [eds. L. A. Zadeh, A. M. Abbasov, R. R. Yager, S. N. Shahbazova, M. Z. Reformat]. — Springer International Publishing Switzerland, 2016. — P. 239–253. — (Studies in Fuzziness and Soft Computing, vol. 342).
Chertov O. Microfiles as a Potential Source of Confidential Information Leakage / O. Chertov, D. Tavrov // Intelligent Methods for Cyber Warfare [eds. R. R. Yager, M. Z. Reformat, N. Alajlan]. — Springer International Publishing Switzerland, 2015. — P. 87–114. — (Studies in Computational Intelligence, vol. 563).
Chertov O. Microfiles as a Potential Source of Confidential Information Leakage / O. Chertov, D. Tavrov // Intelligent Methods for Cyber Warfare [eds. R. R. Yager, M. Z. Reformat, N. Alajlan]. — Springer International Publishing Switzerland, 2015. — P. 87–114. — (Studies in Computational Intelligence, vol. 563).
Chertov O. Fuzzy Clustering with Prototype Extraction for Census Data Analysis / О. Chertov, M. Aleksandrova // Soft Computing: State of the Art Theory and Novel Applications [eds. R. R. Yager, A. M. Abbasov, M. Z. Reformat, S. N. Shahbazova]. — Berlin, Heidelberg : Springer-Verlag, 2013. — P. 289–313. — (Studies in Fuzziness and Soft Computing, vol. 291).
Chertov О. Providing Group Anonymity in Social Networks / О. Chertov, D. Tavrov // Computational Social Networks. Security and Privacy [ed. Ajith Abraham]. — London : Springer-Verlag, 2012. — P. 249–268.
Group Methods of Data Processing : monograph / O. Chertov, D. Tavrov, D. Pavlov [et al.] ; ed. O. Chertov. — Raleigh : Lulu.com, 2010. — 155 p.
Информационные технологии: приоритетные направления развития : монография / [Л. Н. Абуталипова, А. Г. Гусейнов, А. С. Дулесов и др.] ; под общ. ред. О. Р. Чертова. — Новосибирск : СИБПРИНТ, 2010. — Кн. 4. — 194 с.