Doctor of philosophy
in Applied Mathematics
The educational and scientific program in the specialty F1 “Applied mathematics” (field of knowledge F “Information technologies”) is aimed at training highly qualified researchers capable of solving complex scientific and engineering problems by means of mathematical and computer modeling of nonlinear processes and systems of a physical and informational nature. The program combines fundamental mathematical training with modern computing technologies, in particular high-performance computing, methods of artificial intelligence and physically-informed machine learning, ensuring the formation of competencies in conducting scientific research, developing new methods of analysis and forecasting of complex systems, as well as in scientific and pedagogical activities and the implementation of results in practice.
The purpose of the program: training of a specialist who is able to generate new ideas, solve complex scientific problems, possess the methodology of scientific, research-innovative and pedagogical activities, conduct own scientific research, the results of which have scientific novelty, theoretical and practical significance, aimed at the creation and improvement of mathematical models, calculation methods and algorithms of computer modeling, physically-informed machine learning and artificial intelligence in applied scientific tasks nonlinear and random dynamics, mechanics of structural elements and materials, control systems.
Main focus: Training of applied mathematics professionals capable:
- carry out scientific research in the field of mathematical and computer modeling of physical and mechanical processes and management processes, materials and structures using computing technologies and (or) approaches of physically informed artificial intelligence;
- develop and apply scientific foundations and applied modeling methods;
- to form research and pedagogical competences for conducting independent scientific and educational activities in the field of applied mathematics and engineering.
Educational and scientific program of the current year
and the ONP Archive are available on the department’s website
graduate and doctoral programs of NTU “KhPI”.
Heads of scientific research
Management of scientific research of postgraduate students in the F1 specialty is carried out by scientific and pedagogical staff of NTU “KhPI”, short scientific profiles of whom are given below.
As part of the implementation of the educational and scientific program “Applied Mathematics” in 2021–2026, PhD candidates and their supervisors are actively involved in the implementation of scientific research projects of various levels, in particular state budget, farm contract and international.
Research topics include current areas of modern applied mathematics, including mathematical and numerical modeling of the behavior of materials and structures, development of methods for the analysis of nonlinear processes, problems of long-term strength and creep, the use of artificial intelligence methods, as well as the development of control algorithms for complex technical systems and navigation complexes.
An important component is participation in international scientific projects and grant programs, which ensures the integration of research into the global scientific space and contributes to the training of highly qualified specialists.
Detailed information on the list of projects, their topics, as well as the composition of scientific supervisors and graduate students is provided in the attached file: Scientific research works.
(guarantor of the educational program) Scientific interests >Physically nonlinear problems of the mechanics of a deformed solid (creep, failure under cyclic and shock loads), finite element method, computer modeling of technical processes, IT technologies in mechanics problems. |
Candidate of technical sciences Scientific interests >Creep and long-term strength of structural elements, finite element method. | |
Doctor of technical sciences Scientific interests >Analytical mechanics, the use of computer algebra in mechanics problems, IT technology in mechanics problems, problems of kinematics, statics, dynamics and control of robotic systems. |
Candidate of technical sciences Scientific interests >Information technologies in automated design; numerical methods and algorithmization in reliability prediction; кcomputer analysis of dynamic processes and signals; mathematical and computer modeling of the microstructure of composite and heterogeneous materials, solving the problem of statistical a priori assessment in the task of analysis and synthesis of their linear and nonlinear characteristics; data-driven mechanics. | |
Doctor of technical sciences Scientific interests >Modern methods of solving linear and nonlinear problems of the theory of plates and flat shells with a complex plan shape and various boundary conditions. |
Doctor of technical sciences Scientific interests >Development of calculation methods for computer and mathematical modeling of random and non-linear processes in mechanical systems of engineering direction, development of mathematical models of non-linear behavior of heterogeneous materials and methods of assessing their strength, diagnostics of technical condition and reliability prediction of mechanical systems and structures. | |
Doctor of technical sciences Scientific interests >Contact problems of elastic-plastic deformation and creep of shells; problems of long-term durability of thin-walled structures operating at high temperatures; technological tasks of shell molding. |
Doctor of physical and mathematical sciences Scientific interests >Nonlinear dynamics, asymptotic methods in the theory of nonlinear oscillations, stability of motion, nonlinear oscillations of elastic systems, nonlinear waves. | |
Doctor of technical sciences Scientific interests >Design of spacecraft orientation control systems and design of integrated inertial-satellite navigation systems. A scientist with almost 30 years of theoretical and practical experience in the aerospace industry. |
Doctor of technical sciences Scientific interests >The author of more than 180 scientific and educational and methodological works, information about the main scientific publications is available on personal pages in scientometric databases, electronic libraries and platforms. | |
Candidate of technical sciences Scientific interests >Study of vibrations of mechanical systems; forecasting the resource of structures |
Candidate of technical sciences Scientific interests >Strength, fluctuations and optimal design of structures, frontend and backend development, IT infrastructure design. |
Training in a specialty
Education in the educational and scientific program in applied mathematics is based on student-centered, research- and problem-oriented approaches that integrate education, science and innovative activity. The educational process combines lectures, practical and laboratory classes with individual and independent work, implementation of research and software projects using modern ICT and mathematical modeling tools.
The structure of the program includes an educational component (mandatory and optional components formed in accordance with the scientific directions of the departments) and a continuous scientific component, which involves conducting research, publishing and approving the results at conferences. Evaluation is carried out through current and final control, presentations, defenses of reports and dissertations.
Syllabus of disciplines and study plans of the current year and their Archive are available on the website of postgraduate and doctoral programs of NTU “KhPI”.
Graduate students who received a Phd degree in the specialty F1(113) applied mathematics
 | SENKO А. (2021) | Work topic: Solving two-dimensional creep failure problems based on the MSE scheme. |
 | SHAPOVALOVA М. (2021) | Work topic: Assessment of the limit state of a two-component material with spherical inclusions and prediction of structural reliability using computer and mathematical modeling methods. |
 | LEBEDENKO Y. (2024) | Work topic: Research of resonant steady-state modes and transient processes in nonlinear systems with limited power. |
 | SURHANOVA Y. (2024) | Work topic: Research of nonlinear normal forms of oscillations of coupled pendulums under the influence of magnetic forces. |
 | NEMANEZHYN Y. (2025) | Work topic: Development of methods for calculating the high-temperature strength of gas turbine blades under static and dynamic loads. |
 | SUKHANOVA О. (2025) | Work topic: Analysis of laminated glass structures under dynamic impulse loading. (The defense took place at Otto von Guericke University Magdeburg, Germany). |
| MALYSHEV S. (2025) | Work topic: Bifurcations and resistance of nonlinear oscillations of beam structures with fatigue cracks. |
Alumni reviews and program discussion
The Department of Doctoral Studies and Postgraduate Studies of NTU “KhPI” carries out constant control over the level of training quality and the satisfaction of education seekers. Monitoring results are available here.
Dear graduates!
In order to improve the quality of the training of applicants and to improve the educational and scientific program “Applied Mathematics”, we ask you to participate in the survey regarding the evaluation of the content, organization and results of studies in postgraduate studies.
The received answers will be used to analyze the effectiveness of program implementation, take into account the experience of graduates in professional and scientific activities, as well as for further improvement of educational components, scientific component and training conditions.
Overall satisfaction with graduate school (received 21 reviews of graduate students in different years of graduation)
76,2%
19,0%
4,8%
0%
★★
0%
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KOCHUROV ROMAN (issue of 2012)
SoftInWay, Inc. (Burlington, Massachusetts, USA), rotor dynamics engineer/head of the department «Dynamics and durability of machines»
The graduate school of NNIFI can boast of high-quality fundamental education and qualified teachers. From the point of view of practical knowledge, which is an integral part of scientific research, I propose to expand the rotor dynamics course, and to introduce into the training program modern specialized software complexes for calculating rotor dynamics and hydrodynamic/mechanical characteristics of bearings (for example, AxSTREAM RotorDynamics, Bearing). This topic is extremely relevant and in demand at the global level.
KORYTKO YULIIA (issue of 2010)
Namecheap. Inc (Kharkiv, Ukraine), as a private entrepreneur in the position of Lead Project Manager, Delivery Manager
During my graduate studies, I identified many positive aspects for myself: support of graduate students from colleagues of the department and supervisors, relevance of the topic and acquired knowledge, many conferences, reports, opportunity to share research results, apply them in leading enterprises of Kharkiv, opportunity for internships in Europe and participation in scientific competitions and scientific grants. Please continue the training of scientific personnel at our faculty. This is a great opportunity for young people.
OKOROKOV VOLODYMYR (issue of 2015)
Weir Minerals (Venlo, the Netherlands), Technical specialist
The high level of scientific training of the department helped me develop the ability to mathematically model physical processes aimed at solving modern problems in mechanical engineering and other industries. During my studies, the department participated in several European projects and internship programs, which enabled graduate students and young scientists to travel to European universities, participate in international conferences and collaborate with colleagues from other universities. In my opinion, such international internships should be a standard in graduate studies. Among the negative aspects of my graduate studies, I would note the focus on following a large number of formal rules for the design of dissertations, collecting references and other formalities, which, in my opinion, take too much time and are not aimed at improving the quality of graduate studies.
PEREPELKIN MYKOLA (issue of 2011)
Leeds Beckett University (Leeds, UK), Teacher
In my opinion, the graduate program of the Institute of Engineering and Physics provides thorough training of world-class specialists, this is achieved due to the high scientific and professional level of academic leaders and members of the Academic Council. Graduate students and applicants have the opportunity to obtain a scientific degree by solving important scientific and practical problems in the relevant fields of knowledge, adhering to high standards of scientific work
TKACHUK ANTON (issue of 2011)
The University of Stuttgart (Germany), Institute of Structural Mechanics, PostDoc
I would like to include the training period as an advantage of the training of graduate students, because enough time is given to define the problem (setting the task), as well as the professionalism of the manager (G.I. Lvov). I would also like to point out several shortcomings in education, first of all, it is outdated experimental equipment, as well as the fact that graduate students do not participate in central conferences (EKCOMAS, SIAM, EuroMech series). I believe that it is appropriate to add disciplines that study work with large volumes of data, parallel computing, averaging methods and reduced order modeling to training.
BERLIZOVA TETIANA (issue of 2016)
"BIIR Ukraine" LLC, design engineer
The greatest plus in education was the attentiveness and help of teachers and employees of the postgraduate department on any issue. During my studies, there were not enough subjects in 3D modeling and an insufficient level of training in a foreign language, as well as a lack of a course in the specialty. To improve a foreign language, it would be good to hold a speaking club on interesting topics, it will help improve speaking skills. Desired: the possibility of employment after graduation.
NAUMOV IVAN (issue of 2013)
Professional services consultant (Call centers, Routing, Data processing, Digital channels)
Exceptional quality of education and support from academic supervisors. The ability to use the latest technologies and free access to any scientific information on the topic of the dissertation. Learning support and a tough defense process with no exceptions or simplifications. In general, in the process of study, a graduate student not only masters new scientific horizons, but also forms a clear professional view of things, the ability to act in difficult situations, manage one's own time, one's own resources, team work or leadership skills, and solve combined tasks. To be desired: use more electronic technologies - presentations, online presence at seminars, reducing the number of paper documents and automating the design of supporting documents for the dissertation. It is advisable to add government support for scientists and funding for obtaining licenses for the latest systems design and analysis applications for all scientific areas to the preparation.
SENKO ALONA (release of 2021)
NTU "KhPI", associate professor of the department
НStudying for "Applied Mathematics" left only positive impressions. The program provided thorough theoretical training, which was organically combined with a practical component, which made it possible not only to deeply learn mathematical methods, but also to effectively apply them in scientific research. It is especially worth noting the high level of scientific training: during postgraduate studies, the skills of independent research work, critical thinking, analysis and generalization of results were formed. An important role in this was played by the scientific director and teachers, who were always open to communication, provided timely support and promoted professional growth. The knowledge gained during training and the results of scientific research became a solid foundation for further professional activity. The successful defense of the dissertation in 2021 confirmed the high level of preparation under the program. Currently, the acquired competences are actively used in teaching and scientific work at the department, which testifies to the practical value and relevance of the educational and scientific program.
SHAPOVALOVA MARIIA (release of 2021)
NTU "KhPI", associate professor of the department of ММІ
The educational and scientific program "Applied Mathematics" provides a high level of theoretical and practical training, forming the ability to solve complex scientific and engineering problems based on modern methods of modeling and calculations. It is especially worth noting the professionalism of the teaching staff and the powerful scientific school, which create a favorable environment for the development of research competences. Sincere thanks to the Department of Mathematical Modeling and Intelligent Computing in Engineering (MMI) for support, faith, opportunities to participate in grant programs and academic mobility, as well as for responsible scientific leadership. The program made it possible to successfully requalify from a master's degree in computer science to a PhD in applied mathematics and successfully continue professional activities in the field. Considering the constant development of science and challenges, a possible improvement of the program could be the introduction of disciplines in physically-informed machine learning, high-performance computing (HPC), big data analysis and modern methods of optimization of complex systems.