Research Center for Computational Methods in Applied Mathematics
Research Center for Computational Methods in Applied Mathematics

Type

Center

Department

Applied Mathematics & Communications Technology Institute

Head:

Vladimir Melezhik

Doctor of Physical Sciences and Mathematics, Professor
Lead Researcher at the Bogolyubov Laboratory of Theoretical Physics (LTF) and Joint Institute for Nuclear Research (JINR) (Dubna, Russia)
Head of the Research Center of Computational Methods in Applied Mathematics at the RUDN Institute of Applied Mathematics and Telecommunications

Structural unit: Applied Mathematics & Communications Technology Institute.

The Center aims to:

  • solve practical problems in computer modeling
  • develop numerical and analytical research methods for complex physical and technical systems as well as information and communication technologies
  • conduct research in the field of computational methods and build models for describing complex systems

The main research goal is the improvement of applied computational methods for solving problems in mathematical physics, probability and statistics theory.

Currently, the Center's scientists are focused on the use of symbolic-numerical algorithms for solving problems related to quantum physics and wave optics as well as in the automated processing of experimental data obtained using accelerators.

Achievements All achievements

designing devices for nuclear electronics to record elementary particles and photon radiation; 

designing devices for small-size quantum systems, i.e. systems containing structural elements about 1-100 nm in size that determine its basic properties and characteristics: design of nanodevices (nanopumps, nanomotors, nanorobots, nanomannipulators, etc.) and the creation of nanomaterials with specified properties (super strength, super hardness, complete absorption or reflection of electromagnetic radiation, etc.); 

analysis of stochastic dynamics of physical, technical and economic systems with dynamics of which are random in nature; 

Used equipment See all
Server based on Intel Xeon processor (4 pieces), 8 cores per processor, 512 GB RAM
• Computer simulation of motion models for devices in 5G wireless networks taking into account data from mobility statistics for appraisal of interference generated by moving devices and associated probabilistic characteristics of the radio link unavailability periods;.
• Computer simulation of radio resource control mechanisms in 5G networks in terms of random process theory in consideration with heterogeneous network infrastructures, moving devices and availability of D2D and Internet of Things traffic;.
• Computer simulation in the queuing system with changing requirements.
Access points (hotspots) for 5G millimeter range demonstrator
• Computer simulation of motion models for devices in 5G wireless networks taking into account data from mobility statistics for appraisal of interference generated by moving devices and associated probabilistic characteristics of the radio link unavailability periods;.
• Computer simulation of radio resource control mechanisms in 5G networks in terms of random process theory in consideration with heterogeneous network infrastructures, moving devices and availability of D2D and Internet of Things traffic;.
• Computer simulation in the queuing system with changing requirements.
SIM card programming devices
• Computer simulation of motion models for devices in 5G wireless networks taking into account data from mobility statistics for appraisal of interference generated by moving devices and associated probabilistic characteristics of the radio link unavailability periods;.
• Computer simulation of radio resource control mechanisms in 5G networks in terms of random process theory in consideration with heterogeneous network infrastructures, moving devices and availability of D2D and Internet of Things traffic;.
• Computer simulation in the queuing system with changing requirements.
Test stations for modeling high network loading
• Computer simulation of motion models for devices in 5G wireless networks taking into account data from mobility statistics for appraisal of interference generated by moving devices and associated probabilistic characteristics of the radio link unavailability periods;.
• Computer simulation of radio resource control mechanisms in 5G networks in terms of random process theory in consideration with heterogeneous network infrastructures, moving devices and availability of D2D and Internet of Things traffic;.
• Computer simulation in the queuing system with changing requirements.
LTE Network Analyzers
• Computer simulation of motion models for devices in 5G wireless networks taking into account data from mobility statistics for appraisal of interference generated by moving devices and associated probabilistic characteristics of the radio link unavailability periods;.
• Computer simulation of radio resource control mechanisms in 5G networks in terms of random process theory in consideration with heterogeneous network infrastructures, moving devices and availability of D2D and Internet of Things traffic;.
• Computer simulation in the queuing system with changing requirements.
Partners

City

Brno, Czech Republic

Subject of cooperation:
Development of computer models, numerical and analytical methods of infocommunication technologies together with representatives of Brno University of Technology.
Result of cooperation:

conduct analysis of the statistical characteristics of subscriber traffic in wireless networks in order to identify the spatial-probabilistic characteristics of traffic as well as the reliability of network connections.

About partner:
Start of collaboration: November 2016 Brno University of Technology is the second largest university in the Czech Republic. The University consists of 10 faculties and institutes. About 23,000 students study at the university. At the moment the university is ranked 262 in the field of Engineering & Technology according to QS ratings. Scientific research conducted at Brno University of Technology is focused on computer modeling and the application of numerical and analytical methods in the study of complex physical and technical systems and infocommunication technologies as well as the processing of experimental data. The main research topics include Big Data, computational experiments in telecommunications.

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.