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.
Matilda Pavlovna Mityaeva was born in 1925. In November 1942, she volunteered for frontline duty. She participated in the Great Patriotic War from November 1942 to June 1945 as part of the 53rd Infantry Division of the 475th Infantry Regiment. She was wounded twice.
The team led by Sergey Zyryanov, Head of the Department of General and Clinical Pharmacology, became the winner of the All-Russian competition of scientific projects "Technologies for Human Health".
RUDN University constantly adapts to the changes of the modern world and responds to challenges flexibly. This allows us to keep the standard of a world-class research university. The sphere of science is no exception. Peter Dokukin, Head of the Research Division, presented the updated R&D Programme at the meeting of the RUDN University Academic Council.
Matilda Pavlovna Mityaeva was born in 1925. In November 1942, she volunteered for frontline duty. She participated in the Great Patriotic War from November 1942 to June 1945 as part of the 53rd Infantry Division of the 475th Infantry Regiment. She was wounded twice.
The team led by Sergey Zyryanov, Head of the Department of General and Clinical Pharmacology, became the winner of the All-Russian competition of scientific projects "Technologies for Human Health".
RUDN University constantly adapts to the changes of the modern world and responds to challenges flexibly. This allows us to keep the standard of a world-class research university. The sphere of science is no exception. Peter Dokukin, Head of the Research Division, presented the updated R&D Programme at the meeting of the RUDN University Academic Council.