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.
Scientific Seminars
Recently, the Department of Applied Mathematics hosted the following scientific seminars:
- March 27, 2025 – "Discrete Mathematics Methods in the Cryptanalysis of ARX Ciphers"
(Speaker: Associate Professor, Head of the Department of Mathematical Methods of Information Security, Institute of Physics and Technology, Serhii Yakovlev) - March 6, 2025 – "The Method of Consistent Cross-Sections as a New Tool for Numerical Integration in Mathematical Physics Problems"
(Speaker: 2nd-year research master’s student Kirill Danylenko (Group KM-31mn))
In addition to the above, the department also held the following scientific seminars:
- January 30, 2025 – "Discrete Dynamical Systems and Their Applications in Economics and Finance"
(Speaker: Senior Researcher, Institute of Mathematics of the NAS of Ukraine, Iryna Sushko) - November 14, 2024 – "Applications of Partial Differential Equations in Solving Computer Vision Problems"
(Speaker: Ph.D. in Engineering, Senior Researcher, Associate Professor of the Department of Mathematical Modeling and Data Analysis, Institute of Physics and Technology, Vladyslav Khaidurov) - October 3, 2024 – "Application of Beam Corotational Splines for Local and Global Path Planning in Autonomous Robots"
(Speakers: 4th-year undergraduate student Yurii Kuznetsov (Group KM-12), D.Sc. in Engineering, Professor of the Department of Applied Mathematics, FAM, Igor Orynyak) - September 12, 2024 – "Rational Wavelet Transform with a Shrinking Scaling Coefficient"
(Speaker: Senior Lecturer of the Department of Applied Mathematics, FAM, Volodymyr Malchykov) - June 6, 2024 – "Mathematical Modeling in the Optimization of the Technological Process of Pleurotus Mushroom Production"
(Speakers: 4th-year undergraduate student Maksym Sokolnytskyi (Group KM-02), Doctor of Pharmaceutical Sciences, Associate Professor of the Department of Applied Mathematics, FAM, Sergey Solovyov) - June 6, 2024 – "Mathematical Modeling in a Retrospective Study of the Epidemiological Process of Poliomyelitis"
(Speakers: 1st-year master’s student Roman Tsaruk (Group KM-31mn), Doctor of Pharmaceutical Sciences, Associate Professor of the Department of Applied Mathematics, FAM, Sergey Solovyov) - May 2, 2024 – "Corotational Spring Splines in Computer-Aided Geometric Design Problems"
(Speaker: D.Sc. in Engineering, Professor of the Department of Applied Mathematics, FAM, Igor Orynyak) - April 18, 2024 – "Stochastic Topic Modeling of Texts"
(Speaker: 2nd-year PhD student Anton Kozyrev (Group KM-21f)) - April 18, 2024 – "The Method of Corotational Beam Splines for Constructing Twice-Differentiable Curves from Noisy Discrete Data"
(Speaker: 2nd-year PhD student Dmytro Koltsov (Group KM-21f))