RUDN mathematicians have created a software package for solving nonlinear differential equations
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.
On October 4, the Research and Educational Resource Center (REC) of innovative technologies of immunophenotyping, digital spatial profiling and ultrastructural analysis (molecular morphology) opened at the RUDN.
RUDN University scientists conducted a comprehensive soil and environmental survey and took more than 80 soil samples in Zaryadye Park. An assessment of the physicochemical, microbiological, and ecotoxicological properties of soils made it possible to develop recommendations and a plan for the care of soils in analogous landscapes in the park.
RUDN University chemist with colleagues from India and Korea created a nanofilter for water purification from synthetic dyes. The graphene-based composite can quickly remove up to 100% of harmful compounds from water, and it can be used up to seven times without losing efficiency. In addition, the synthesis of the nanofilter itself is economical and environmentally friendly.
On October 4, the Research and Educational Resource Center (REC) of innovative technologies of immunophenotyping, digital spatial profiling and ultrastructural analysis (molecular morphology) opened at the RUDN.
RUDN University scientists conducted a comprehensive soil and environmental survey and took more than 80 soil samples in Zaryadye Park. An assessment of the physicochemical, microbiological, and ecotoxicological properties of soils made it possible to develop recommendations and a plan for the care of soils in analogous landscapes in the park.
RUDN University chemist with colleagues from India and Korea created a nanofilter for water purification from synthetic dyes. The graphene-based composite can quickly remove up to 100% of harmful compounds from water, and it can be used up to seven times without losing efficiency. In addition, the synthesis of the nanofilter itself is economical and environmentally friendly.