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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
- Violeta Tretynyk, 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
Research funding at the Applied Mathematics Department during recent five years has amounted around 1400 K grn.
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:
- 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)
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:
- Dmytro Koltsov (academic advisor — Igor Orynyak)
- Anton Kozyriev (academic advisor — Volodymyr Norkin)
Third year of study:
- Volodymyr Malchykov (academic advisor — Oleg Chertov)
- Serhii Mirko (academic advisor — Pavlo Maslyanko)
Second year of study:
- Valerii Buslaiev (academic advisor — Oleg Chertov)
- Mykola Davydenko (academic advisor — Violeta Tretynyk)
- Dmytro Horodetskyi (academic advisor — Sergey Solovyov)
- Kostiantyn Kulyk (academic advisor — Igor Orynyak)
- Serhii Sakharov (academic advisor — Oleg Chertov)
- Maksym Shchoholiev (academic advisor — Oleg Chertov)
- Yaroslav Smolin (academic advisor —Viacheslav Liskin)
- Vladyslav Yavtukhovskyi (academic advisor — Violeta Tretynyk)
First year of study:
- Kirill Danylenko (academic advisor — Igor Orynyak)
- Yurii Markov (academic advisor — Danylo Tavrov)
- Anton Tsybulnyk (academic advisor — Danylo Tavrov)

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.
