Head of The Department
About Department
The Department of Applied Mathematics at the National Technical University “Kharkiv Polytechnic Institute” was founded in 1947 by the distinguished mathematician N. I. Akhiezer, a Corresponding Member of the Academy of Sciences of Ukraine. The Department received its current name in 1981. Over the years, it has been headed by prominent scientists, including I. M. Glazman, V. L. Rvachev, I. V. Goncharuk, V. B. Grinev, and L. V. Kurpa, who made significant contributions to its establishment and development. Since 2021, the Department has been headed by V. M. Burlayenko, Candidate of Technical Sciences and Associate Professor.
The Department is part of the Educational and Scientific Institute of Computer Modeling, Applied Physics and Mathematics at NTU “KhPI”. It currently employs 12 academic staff and 3 technical staff. Its primary educational mission is to provide fundamental mathematical training to students across various technical disciplines at the University. The Department offers courses in Higher Mathematics and courses, including Mathematical Analysis, Linear Algebra, Analytic Geometry, Differential Equations, Complex Analysis, Equations of Mathematical Physics, and others. Some courses are taught in English. The Department continuously improves its teaching and learning resources by developing textbooks, study guides, and other educational materials.
The Department’s academic staff are actively involved in scientific research, publish their findings in international scientific journals, and participate in scientific conferences, research projects, and academic mobility programs. The Department preserves and develops the scientific and educational traditions established by distinguished scholars, combining fundamental mathematical education with modern methods of mathematical modeling and the investigation of physical and mechanical processes.
Scientific fields
The Department has established research activities in applied mathematics, nonlinear dynamics, mathematical modeling, and computational mathematics. Its main research areas include:
· R-function theory and its application to solving boundary value problems in mathematical physics, particularly linear and nonlinear problems involving plates and shells of complex geometries;
· Nonlinear dynamics of mechanical systems, including the investigation of nonlinear normal modes of vibration in motion stability, regular and chaotic dynamics, vibro-impact phenomena, nonlinear vibration suppression, and the dynamics of rotor and elastic systems;
· Mathematical and computational modeling of deformation, strength, stability, vibrations, damage initiation and evolution, crack propagation, and fracture in structures made of composite materials, including multilayer and sandwich composites, as well as functionally graded materials, using numerical methods, primarily the finite element method.
The research conducted by the Department’s academic staff has applications in structural mechanics, mechanical engineering, and related fields of science and technology. The Department actively promotes international scientific cooperation and participates in collaborative research projects focusing on nonlinear dynamics, the mechanics of composite materials, and metamaterials.
Qualifications and Areas of Specialization
· None.