|
|
Doctor of Technical Sciences,
Professor |
- Improvement of numerical methods for studying solutions to systems of quasi-linear partial differential equations. (S.K. Godunov scheme, HLCC schemes).
- Hyperbolic systems of quasi-linear partial differential equations.
- Integral and differential forms. Investigation of properties.
- Gas dynamics equations in transonic flow problems near airfoils. Numerical investigation of aerodynamic characteristics.
- Maxwell’s equations. Numerical investigation of diffraction problems on periodic and non-periodic structures.
|
|
|
Doctor of Pedagogical Sciences,
Professor
|
- Pedagogical Conditions for the Adaptation of Student-Centered Classes from Higher Education to General Secondary Education Institutions.
- Didactic Principles for Interpreting the Methodology of Conducting Student-Centered Classes in General Secondary Education Institutions.
- Types and Structure of Student-Centered Classes in the Training of Engineering Specialists. Extrapolation of student-active classes to general secondary schools.
- Methodological foundations for implementing student-active pedagogical technology in the training of future specialists in economic fields.
|
|
|
Doctor of Physical and Mathematical Sciences,
Professor
|
- Mathematical modeling of three-dimensional objects with discontinuous characteristics based on the discontinuous spline interpolation framework.
- Solving the computed tomography problem for objects with a heterogeneous structure based on function interpolation operators.
- Mathematical modeling of anthropogenic environmental pollution using non-destructive testing methods.
- Mathematical modeling of internal defects in solids based on O.M. Litvin’s information operators.
|
|
|
Doctor of Technical Sciences,
Professor
|
- Investigation of functionally gradient thin shells of complex shape with porosity using the R-function method.
- Linear vibrations of functionally gradient plates and thin shells of complex shape supported on an elastic base.
- Nonlinear analysis of the behavior of functionally graded plates and complex-shaped thin shells using the theory of R-functions.
- Free vibrations of honeycomb sandwich plates with auxetic fillers.
- Investigation of nonlinear vibrations of a honeycomb sandwich plate with a negative Poisson’s ratio.
|
