Sergei K. Godunov
Encyclopedia
Sergei Konstantinovich Godunov (Серге́й Константи́нович Годуно́в; b. July 17, 1929 in Moscow
, Russia
, USSR) is professor at the Sobolev
Institute of Mathematics of the Russian Academy of Sciences
in Novosibirsk
, Russia
.
Professor Godunov's most influential work is in the area of applied and numerical mathematics. It has had a major impact on science and engineering, particularly in the development of methodologies used in Computational Fluid Dynamics (CFD
) and other computational fields.
On 1–2 May 1997 a symposium entitled: Godunov-type numerical methods, was held at the University of Michigan
to honour Godunov. These methods are widely used to compute continuum processes dominated by wave propagation. On the following day, 3 May, Godunov received an honorary degree from the University of Michigan.
Godunov's theorem
(Godunov, 1959) (also known as Godunov's order barrier theorem) : Linear numerical schemes for solving partial differential equations, having the property of not generating new extrema (a monotone scheme), can be at most first-order accurate.
Godunov's scheme
is a conservative numerical scheme for solving partial differential equations. In this method, the conservative variables are considered as piecewise constant over the mesh cells at each time step and the time evolution is determined by the exact solution of the Riemann
(shock tube
) problem at the inter-cell boundaries (Hirsch, 1990).
Moscow
Moscow is the capital, the most populous city, and the most populous federal subject of Russia. The city is a major political, economic, cultural, scientific, religious, financial, educational, and transportation centre of Russia and the continent...
, Russia
Russia
Russia or , officially known as both Russia and the Russian Federation , is a country in northern Eurasia. It is a federal semi-presidential republic, comprising 83 federal subjects...
, USSR) is professor at the Sobolev
Sergei Lvovich Sobolev
Sergei Lvovich Sobolev was a Soviet mathematician working in mathematical analysis and partial differential equations. He was born in St. Petersburg, and died in Moscow.-Work:...
Institute of Mathematics of the Russian Academy of Sciences
Russian Academy of Sciences
The Russian Academy of Sciences consists of the national academy of Russia and a network of scientific research institutes from across the Russian Federation as well as auxiliary scientific and social units like libraries, publishers and hospitals....
in Novosibirsk
Novosibirsk
Novosibirsk is the third-largest city in Russia, after Moscow and Saint Petersburg, and the largest city of Siberia, with a population of 1,473,737 . It is the administrative center of Novosibirsk Oblast as well as of the Siberian Federal District...
, Russia
Russia
Russia or , officially known as both Russia and the Russian Federation , is a country in northern Eurasia. It is a federal semi-presidential republic, comprising 83 federal subjects...
.
Professor Godunov's most influential work is in the area of applied and numerical mathematics. It has had a major impact on science and engineering, particularly in the development of methodologies used in Computational Fluid Dynamics (CFD
Computational fluid dynamics
Computational fluid dynamics, usually abbreviated as CFD, is a branch of fluid mechanics that uses numerical methods and algorithms to solve and analyze problems that involve fluid flows. Computers are used to perform the calculations required to simulate the interaction of liquids and gases with...
) and other computational fields.
On 1–2 May 1997 a symposium entitled: Godunov-type numerical methods, was held at the University of Michigan
University of Michigan
The University of Michigan is a public research university located in Ann Arbor, Michigan in the United States. It is the state's oldest university and the flagship campus of the University of Michigan...
to honour Godunov. These methods are widely used to compute continuum processes dominated by wave propagation. On the following day, 3 May, Godunov received an honorary degree from the University of Michigan.
Godunov's theorem
Godunov's theorem
In numerical analysis and computational fluid dynamics, Godunov's theorem — also known as Godunov's order barrier theorem — is a mathematical theorem important in the development of the theory of high resolution schemes for the numerical solution of partial differential equations.The theorem states...
(Godunov, 1959) (also known as Godunov's order barrier theorem) : Linear numerical schemes for solving partial differential equations, having the property of not generating new extrema (a monotone scheme), can be at most first-order accurate.
Godunov's scheme
Godunov's scheme
In numerical analysis and computational fluid dynamics, Godunov's scheme is a conservative numerical scheme, suggested by S. K. Godunov in 1959, for solving partial differential equations...
is a conservative numerical scheme for solving partial differential equations. In this method, the conservative variables are considered as piecewise constant over the mesh cells at each time step and the time evolution is determined by the exact solution of the Riemann
Bernhard Riemann
Georg Friedrich Bernhard Riemann was an influential German mathematician who made lasting contributions to analysis and differential geometry, some of them enabling the later development of general relativity....
(shock tube
Shock tube
For the pyrotechnic initiator, see Shock tube detonatorThe shock tube is an instrument used to replicate and direct blast waves at a sensor or a model in order to simulate actual explosions and their effects, usually on a smaller scale...
) problem at the inter-cell boundaries (Hirsch, 1990).
Education
- 1946-1951 - Department of Mechanics and Mathematics, Moscow State UniversityMoscow State UniversityLomonosov Moscow State University , previously known as Lomonosov University or MSU , is the largest university in Russia. Founded in 1755, it also claims to be one of the oldest university in Russia and to have the tallest educational building in the world. Its current rector is Viktor Sadovnichiy...
.
- 1951 - Diploma (M. S.), Moscow State UniversityMoscow State UniversityLomonosov Moscow State University , previously known as Lomonosov University or MSU , is the largest university in Russia. Founded in 1755, it also claims to be one of the oldest university in Russia and to have the tallest educational building in the world. Its current rector is Viktor Sadovnichiy...
.
- 1954 - Candidate of Physical and Mathematical Sciences (Ph. D.).
- 1965 - Doctor of Physical and Mathematical Sciences (D. Sc.).
- 1976 - Corresponding member of the USSR Academy of Sciences.
- 1994 - Member of the Russian Academy of SciencesRussian Academy of SciencesThe Russian Academy of Sciences consists of the national academy of Russia and a network of scientific research institutes from across the Russian Federation as well as auxiliary scientific and social units like libraries, publishers and hospitals....
(Academician).
- 1997 - Honorary professor of the University of MichiganUniversity of MichiganThe University of Michigan is a public research university located in Ann Arbor, Michigan in the United States. It is the state's oldest university and the flagship campus of the University of Michigan...
(Ann-Arbor, USA).
Awards
- 1959 - State Lenin PrizeLenin PrizeThe Lenin Prize was one of the most prestigious awards of the USSR, presented to individuals for accomplishments relating to science, literature, arts, architecture, and technology. It was created on June 23, 1925 and was awarded until 1934. During the period from 1935 to 1956, the Lenin Prize was...
.
- 1972 - A.N. KrylovAlexei KrylovAleksey Nikolaevich Krylov was a Russian naval engineer, applied mathematician and memoirist.-Biography:Alexei Nikolaevich Krylov was born on August 3 O.S., 1863 to the family of an Army Artillery officer in a village Akhmatovo near town Alatyr of the Simbirsk Gubernia in Russia...
Prize of the USSR Academy of Sciences.
- 1993 - M.A. LavrentievMikhail LavrentyevMikhail Alekseevich Lavrentyev or Lavrentiev was an outstanding Soviet mathematician and hydrodynamicist.-Biography:...
Prize of the Russian Academy of SciencesRussian Academy of SciencesThe Russian Academy of Sciences consists of the national academy of Russia and a network of scientific research institutes from across the Russian Federation as well as auxiliary scientific and social units like libraries, publishers and hospitals....
.