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Research

Overview
Active research is being conducted at the Applied Mathematics Department by its faculty, graduates, and undergraduates. The research is being led by:
Danylo Tavrov, Head of the Department, PhD
Oleg Chertov, Professor, ScD
Igor 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
- geometric modelling
- strength and reliability of pipeline systems
- computational methods for solving partial derivative equations
- computational fluid dynamics
- finite elements methods
- regression models and identification theory
- Statistical Modelling
- Bayesian data analysis
- Bayesian optimization
- nonparametric smoothing methods
Defended Theses
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:
08/31/2026, PhD student Dmytro Koltsov: “Corotational Beam Spline Method for Curve Matching and Corner Detection in Images” (scientific advisor — ScD, Prof. Igor Orynyak)
08/31/2026, PhD student Anton Kozyriev: “Stochastic Quantization Methods for Scalable Cluster Analysis of Big Data” (scientific advisor — ScD, Senior Researcher Volodymyr Norkin)
06/14/2024, PhD student Roman Mazuryk: “Method of Basic and Smoothing Solutions for Static Deformation Analysis of Geometrically Nonlinear One-Dimensional Systems” (scientific advisor — ScD, Prof. Igor Orynyak)
02/13/2024, PhD student Ivan Zhuk: “Mathematical Models and Methods for Detecting Football Matches Suspected of Having Fixed Outcomes Using Publicly Available Data” (scientific advisor — ScD, Prof. Oleg Chertov)
02/01/2024, PhD student Roman Diachenko: “Mixed Problems for Parabolic Systems in Generalized Sobolev Spaces” (scientific advisor — ScD, Prof. Valerii Los)
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, PhD student 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)
Current PhD Students
At present, the following PhD students are pursuing the Educational and Scientific level of higher education at our Department:
Fourth year of study:
Volodymyr Malchykov (scientific advisor — Oleg Chertov)
Third year of study:
Valerii Buslaiev (scientific advisor — Oleg Chertov)
Mykola Davydenko (scientific advisor — Sergiy Syrota)
Dmytro Horodetskyi (scientific advisor — Sergey Solovyov)
Kostiantyn Kulyk (scientific advisor — Igor Orynyak)
Serhii Sakharov (scientific advisor — Oleg Chertov)
Maksym Shchoholiev (scientific advisor — Oleg Chertov)
Yaroslav Smolin (scientific advisor —Viacheslav Liskin)
Vladyslav Yavtukhovskyi (scientific advisor — Sergiy Syrota)
Second year of study:
Kirill Danylenko (scientific advisor — Igor Orynyak)
Yurii Markov (scientific advisor — Danylo Tavrov)
Anton Tsybulnyk (scientific advisor — Danylo Tavrov)
First year of study:
Danylo Katerynych (scientific advisor — Igor Orynyak)
Bohdan Perederei (scientific advisor — Ivan Zhuk)
Yevhenii Sazonenko (scientific advisor — Oleg Chertov)

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.
