Computer modeling and numerical-analytical research methods of complex physicotechnical systems and infocommunication (information and communication) technologies

Research and Innovation

Research Projects

Computer modeling and numerical-analytical research methods of complex physicotechnical systems and infocommunication (information and communications) technologies

Mathematics and Telecommunications Computer Simulation

Year 2017

Tags Mathematical modeling variational and differential methods mathematical physics problems problems in quantum mechanics and guided-wave optics symbolic-numerical algorithms

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).

Project goals

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.

Project leader All participants

Korenkov Vladimir Vasilievich

Joint Institute for Nuclear Research (Dubna, Russia), Senior Research Associate, Ph.D. in Physics and Mathematics

Project results

Symbolic-numerical solution of problems of quantum physics and wave optics, automation of the processing of experimental data obtained using accelerators, numerical computation of stochastic dynamics problems.

Enhancement of functional models for optical and quantum-physical devices based on wave optical and quantum-mechanical effects; modification of continuous numerical computation for solving direct problems of simulation of waveguide propagation of electromagnetic radiation in integrated optical waveguides, 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 research techniques for Markov and single-step processes; enhancement of research techniques for stochastic and statistic processes.

Computer application of analytical and numerical algorithms for solving initial boundary value problems for the corresponding systems of partial differential equations, stochastic differential equations, and integro-partial differential equations.

Study of the construction of Hamilton actions for various types of motion equations of infinite-dimensional systems and representability of equations under consideration in 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 heterogeneous 5G wireless networks with support Internet of Things technologies.

Equipment All list

LTE Network Analyzers

• Study of traffic classes related to the interaction of moving devices in 5G wireless networks.
• Study of queuing systems with a random number of non-homogeneous sources of limited availability and limited resources for data processing.
• Automated processing of experimental data.
• Management of radio resources of 5G wireless networks with support of Internet Things technologies.

Test stations for modeling high network loading

SIM card programming devices

Access points (hotspots) for 5G millimeter range demonstrator

Server based on Intel Xeon processor (4 pieces), 8 cores per processor, 512 GB RAM

Application area

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.

Partners

Mathematics and Telecommunications

Joint Institute for Nuclear Research

City

Dubna, Russia

Subject of cooperation:

Representatives of the Joint Institute for Nuclear Research will participate in the development of computer models and conduct numerical and analytical methods for studying complex physical and technical systems.

Result of cooperation:

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.

About partner:

Start of collaboration: November 2016 The Joint Institute for Nuclear Research consists of 7 laboratories. Scientific research conducted at the Joint Institute for Nuclear Research is focused on the study of elementary particle physics and nuclear physics. The main research topics include high energy physics, Big Data, computational experiments in elementary particle physics.