1
RUDN mathematicians have created a software package for solving nonlinear differential equations

RUDN mathematicians have created a software package for solving nonlinear differential equations

RUDN mathematicians have created a universal package of computer programs for the study and solution of complex nonlinear differential equations and their systems. The development will be useful for hydrodynamics, gas dynamics, mechanics, elementary particle physics, plasma physics and elasticity theory. The article was published in the journal Computer Physics Communications.

Many processes in physics are mathematically described by partial differential equations — for example, string vibrations or heat transfer from one part of a solid to another. RUDN mathematicians have created a package of tools for the analysis of such equations and their systems. Previously, triangular decomposition methods were used to solve such differential equations: a complex equation was sequentially divided into simpler parts. The authors took a different approach - the Thomas decomposition method. During the tests, he showed superiority over previously used methods.

RUDN mathematicians also gave examples of application of the software package in practice by solving the Navier-Stokes and Burgers equations for an incompressible fluid that underlies hydrodynamics 

The software of RUDN mathematicians will expand the base of existing algorithms and simplify the work of specialists in physics, physical chemistry and information technology. The created tool package will help to find solutions of differential equations and their systems faster and with greater accuracy compared to previously existing methods.
 

International scientific cooperation View all
03 Nov 2017
The main goal of the RUDN University and UNISDR Office for Northeast Asia and Global Education and Training Institute for Disaster Risk Reduction at Incheon (UNISDR ONEA-GETI) cooperation is to obtain knowledge about disaster risk reduction and international experience in this area for creating training courses for basic and additional professional education in RUDN
1101
Student's Scientific Initiatives View all
03 Nov 2017
June 22 - 26, 2017 in Barnaul, Altai State University, took place the Summer Academy of the BRICS Youth Assembly, an international event that brought together representatives of different countries
1143
Similar newsletter View all
15 Jul
RUDN University Chemist: Algae Can Both Purify Lead-contaminated Water and Create Biofuel

Lead is one of the most common heavy metals that pollute the environment. The level of lead pollution is constantly growing because of its use in the production of batteries, paints, and fuel. Basically, lead enters the environment through the wastewater of production facilities. From there, it affects the entire ecosystem. One of the ways to purify water from lead is bioremediation. Toxic metal is absorbed by microorganisms that become resistant to it, for example, through increased accumulation of lipids. RUDN University chemist together with colleagues investigated the possibility of using microalgae Chlorella Sorokiniana for bioremediation. Chemists have also shown that the protective mechanisms of algae not only reduce the level of pollution, but also increase the potential of using microorganisms as biofuels.

48
15 Jul
RUDN University Scientist Shows A New Mechanism For The Formation Of Antitumorigenic Effects In The Tumor Microenvironment

RUDN University scientist together with colleagues from Germany for the first time showed the unique possibilities of studying the CD38 protein in mast cells using multiplex immunohistochemistry technologies. The obtained results open up new horizons in the study of the antitumorigenic effects of the tumor microenvironment and the development of promising methods of cancer immunotherapy.

42
15 Jul
The Chemist RUDN Proposed Effective Catalysts For Water Purification From Caffeine

The chemist RUDN proposed a way to destroy caffeine with the help of ultraviolet radiation and available composites. The discovery will help to safely clean the water from accidental contamination.

45
Similar newsletter View all