- The Project’s objective is to enhance models of optical and quantum-physical devices based on the wave optical and quantum mechanical effect (QM effect).
- Modification of sustainable numerical computation for solving direct problems related to the simulation of the waveguide propagation of electromagnetic radiation in integrated optical waveguides, the diffraction of polarized monochromatic electromagnetic radiation on subwave optical grating, and evolution of small-size quantum mechanical systems.
- Computer implementation of symbolic numerical algorithms for solving initial boundary problems for corresponding systems of partial differential equations and studying its stability-like and symmetry properties.
- Development of stochastization research techniques for Markov and single-step processes.
- Development of research techniques for stochastic and statistic processes.
- Computer implementation of analytical and numerical algorithms for solving initial boundary value problems for the corresponding systems of partial differential equations, stochastic differential equations, integro-partial differential equations.
- Study of Hamiltonian action’s construction for various types of motion equations of infinite-dimensional systems and presentability of equations of the form of Euler-Lagrange equations with non-potential force densities, Hamilton equations and Hamilton admissible equations. Creation of information technology in the form of complex methods for managing radio resources of fifth-generation (5G) wireless heterogeneous networks that support Internet of Things technologies.
- The Project results are being applied in RUDN’s educational process and can be used at the P.Y. Shafarik Joint Institute for Nuclear Research and the University. The results can also be used to train highly qualified staff in Russia and abroad.
- The research results in the field of function modeling of optical and quantum-physical devices based on wave optical and quantum mechanical effects have been presented at Russian and international scientific conferences and have been published in prominent Russian and international journals.
Korenkov Vladimir Vasilievich
- Development of software to support the Internet of Things technology with radio resource management of 5G wireless heterogeneous networks. It is applied in the design of automated systems for analysis of customers traffic in wireless networks.
- Statistical analysis of customer movements in wireless networks in order to identify the spatial and probabilistic characteristics of traffic as well as the reliability of network connections. The results are applied in the design of automated driving systems for automobiles and railway vehicles.
- Design of devices that count pulses from integrating detectors as well as in the classification of elementary particles and their energy spectrum when an analysis of the pulse shape of particles is required to determine the amplitude and relative time delay between pulses; and the analysis of the directional distribution of elementary particles.
- Design of nanodevices (nanopumps, nanomotors, nanorobots, nanomannipulators, etc.) and the creation of nanomaterials with specified properties (super strength, superhardness, complete absorption or reflection of electromagnetic radiation, etc.).
- Design of aircrafts (planes, unmanned aerial vehicles, missiles); development of monitoring systems of high-rise buildings and structures stability (stability during earthquakes), development of monitoring systems for macroeconomic dynamics etc.
- Development of data-transmission systems via fiber-optic communication channel.
computer implementation of symbolic-numerical algorithms for solving initial boundary problems for the corresponding systems of partial differential equations simulating the effects of Maxwell's optics and quantum mechanics.
Development of Stochastic models for different research areas such as biology, demographics, climatology, energy, telecommunications, economics, etc.
Computer implementation of analytical and numerical algorithms for solving kinetic equations.