The department conducts research in the following areas:
– Numerical and analytical methods for analysis of building structures; analysis of building structures for progressive damage; analysis and monitoring of thin-walled building structures taking into account the variability of their stiffness parameters and elastic properties of materials;
– Higher order conditions in optimal control theory;
– Exact, asymptotic and numerical solutions of problems of underground hydromechanics; mathematical modeling of swirling viscous flow;
– Modeling of pedagogical tests;
– Investigations of extremal and approximation problems of the theory of functions and potential theory;
– Theory of differential equations. Development of fundamental mathematical ideas (first of all, for the theory of partial differential equations), and study of the applications of differential equations to the analysis of structures;
– Development of the theory of fractional differential calculus;
– Functional analysis. Spectral and nonlinear analysis;
– Solving problems of mechanics taking into account the physical and geometric nonlinearities. Development of the theory of viscoelasticity; Experimental methods for studying the stress-strain state of structures;
– Statistical methods for processing experimental data.
From September 17 to 21, 2018 the 27th Russian-Polish-Slovak Seminar “Theoretical Foundations of Civil Engineering” was held in Rostov-on-Don. Members of the Department of Applied Mathematics presented and published 14 articles for this seminar.
From July 1 to 8, 2018 the 7th International Symposium “Current Problems of Computer Simulation of Structures” took place in Novosibirsk. Members of the Department of Applied Mathematics presented and published 22 articles for this symposium.
During the Applied Mathematics Session of the annual student conference “Days of students’ science”, which was held at NRU MGSU, students made many reports.
Prize-winning places were taken by the following reports:
The first place was awarded to the report “Statistical processing of experimental data for modeling the kinetics of porous-capillary body” presented by senior students of the IFO major T.E. Plokhotnyuk and A.S. Krutogolova. Supervisor – Associate Professor, Ph.D. L.V. Kiryanova.
The second place was taken by the report “Calculation of the asymptotics of the filtration problem” presented by a second-year student of the IFO major N.S Kotov. Supervisor – Associate Professor, Ph.D. Yu.V. Osipov.
For the 3rd place there was a tense struggle since many reports were worthy of the third place. But after much discussion, the jury awarded the 3rd place to the report “Fractal geometry and chaos theory” presented by a first-year student of the 30th group of the IIESM major A.I. Dyundikov. Supervisor – Associate Professor, Ph.D. T.N. Bobyleva.
Tatyana N. Bobyleva, Associate Professor at the Department of Applied Mathematics, made a presentation “Methods of approximate evaluation of the stress tensor in layered viscoelastic media” on the 9th Vienna International Conference on Mathematical Modeling, which took place in Vienna on February 21–23, 2018.
Osilenker Boris P., professor and consultant of the Department of Applied Mathematics, Doctor of Physical and Mathematical Sciences, took part in the 19th International Saratov Winter School “Modern Problems of Theory of Functions and Their Applications” dedicated to the 90th birthday of academician P.L. Ulyanov. Winter School was held on January 29 – February 2, 2018 at Saratov National Research University named after N.G. Chernyshevsky (SSU). Boris P. Osilenker made a presentation on the topic “On the exponential methods of summing Fourier series in orthogonal polynomials in Sobolev discrete space”.
Lantsova Irina Yu. and Negrozov Oleg A., instructors of the Department of Applied Mathematics, made presentations at the 27th International Conference “Mathematical and computer modeling in the mechanics of deformable media and structures – MCM 2017. The fundamentals of static and dynamic damage”, which took place on September 25–27, 2017 at St. Petersburg.
Also, Lantsova Irina Yu., instructor of the Department of Applied Mathematics, took part in the 4th Scientific and Technical Conference “Dynamics and strength of structures of aero-hydro-elastic systems. Numerical methods”, which was held in Moscow, at the Institute of Mechanical Engineering named after A.A. Blagonravov, Russian Academy of Sciences, on November 14–15, 2017.
Osilenker Boris P., Professor and consultant of the Department of Applied Mathematics, Doctor of Physical and Mathematical Sciences, together with Alexander Nakhman, in 2017 published a textbook “The expansion of functions in power and trigonometric series”.
Titarenko Boris, Professor of the Department of Applied Mathematics, Doctor of Technical Sciences, has a certificate “PM standard, basic level” and is a certified professional in project management, IPMA Level C, and also has acknowledgements from the Final Conference of the third Russian Competition “Best Project of the Year”.
As part of the University Saturdays Program held in MGSU on October 7, 2017 Makarov Vladimir I., Candidate of Technical Sciences, Associate Professor of the Department of Applied Mathematics, gave a lecture for university applicants “Learning to solve unusual and non-standard problems”.
On June 20, 2017 the results were announced of the Student Olympiad on Differential Equations, which was held at the Mechanics and Mathematics Faculty of Lomonosov Moscow State University. According to the results of this Olympiad, a student of our university, Eugene Magazina, won a diploma of the third degree. Supervisor – senior instructor of NRU MGSU Modestov Konstantin A.
In the second round of the Student Olympiad on Computer Science, held at MGSU on April 15, 2017 the following students won awards:
Silver – Tretyakov Nikita, IEUIS-1.
Bronze – Meshcheryakov Alexander, IEUIS-2, and Vetoshkin Nikita, IEUIS-1.