Radi Petrovich Fedorenko

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Radi Petrovich Fedorenko ( Russian Радий Петрович Федоренко ; born March 11, 1930 in Voronezh ; † September 13, 2009 ) was a Russian mathematician who dealt with numerical mathematics.

Life

His mother was a chemical engineer and his father was an engineer and later director of an aircraft factory. Fedorenko graduated from Rostov State University in 1953 and was then brought to the Steklov Institute in Moscow by Mstislav Vsevolodowitsch Keldysch . Keldysh built a department for applied mathematics there (later the Keldysh Institute IAM RAS) and was responsible for the extensive numerical calculations for the Soviet nuclear weapons and nuclear technology project as well as for aerospace. At the end of the 1950s, Israel Gelfand was in charge of the Institute for Applied Mathematics . Fedorenko completed his habilitation there (Russian doctorate) and stayed at the Keldysh Institute for Applied Mathematics (IAM RAS) of the Russian Academy of Sciences . From 1990 to 2002 he was head of department there.

His first work was secret, but by the end of the 1950s, the secret work was increasingly being relocated from the Steklow Institute to other institutes. His first publication in 1958 was the numerical solution of a problem (pulse discharge in the plasma in one dimension) of magnetohydrodynamics in connection with the first attempts at controlled nuclear fusion. In 1960 he introduced enthalpy methods in the solution of heat conduction problems (Stefan problem) with finite difference methods (published only in 1975).

He is considered a pioneer of the multi-grid method , with work in the early 1960s in connection with the solution of two-dimensional hydrodynamic problems in the sphere for numerical weather forecasting (solution of Poisson's equation with Coriolis forces corresponding to a rotating earth, an M-20 computer was used). In 1964 he proved that with these methods (with the Poisson equation) the rate of convergence does not decrease with the refinement of the lattice. Other pioneers of the method are Nikolai Sergejewitsch Bachwalow (who greatly expanded Fedorenko's method in the early 1970s) and later in the West Achi Brandt (1970s) and Wolfgang Hackbusch .

In 1962 he proposed hybrid finite difference methods.

Fedorenko also later dealt a lot with numerical methods for nuclear reactors and dynamic programming (approximate solutions in optimal control theory, differential games).

He received the State Prize of the Russian Federation .

literature

  • EL Akim et al. a. In memory of Radii Petrovich Fedorenko , Computational Mathematics and Mathematical Physics, Volume 50, 2010, p. 1459

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