Sergei Konstantinovich Godunov (russian: Серге́й Константи́нович Годуно́в; born July 17, 1929) is a Soviet and Russian professor at the

Sobolev Institute of Mathematics The Sobolev Institute of Mathematics (SIM) was founded in 1957 by Sergey Sobolev. It is located in Akademgorodok and it constitutes part of the Siberian Branch of the Russian Academy of Sciences. Sergey S. Goncharov is the director. The institute ...

of the

Russian Academy of Sciences The Russian Academy of Sciences (RAS; russian: Росси́йская акаде́мия нау́к (РАН) ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across t ...

Novosibirsk Novosibirsk (, also ; rus, Новосиби́рск, p=nəvəsʲɪˈbʲirsk, a=ru-Новосибирск.ogg) is the largest city and administrative centre of Novosibirsk Oblast and Siberian Federal District in Russia. As of the Russian Census ...

Russia Russia (, , ), or the Russian Federation, is a List of transcontinental countries, transcontinental country spanning Eastern Europe and North Asia, Northern Asia. It is the List of countries and dependencies by area, largest country in the ...

Biography

Godunov's most influential work is in the area of applied and numerical mathematics, particularly in the development of methodologies used in Computational Fluid Dynamics ( CFD) and other computational fields.

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 soluti ...

(Godunov, 1959) (also known as Godunov's order barrier theorem) : ''Linear numerical schemes for solving

partial differential equations In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to ...

, having the property of not generating new extrema (a

monotone scheme Monotone refers to a sound, for example music or speech, that has a single unvaried tone. See: monophony. Monotone or monotonicity may also refer to: In economics *Monotone preferences, a property of a consumer's preference ordering. *Monotonici ...

), can be at most first-order accurate''.

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. One can think of this method as a conservative finite-vol ...

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 Georg Friedrich Bernhard Riemann (; 17 September 1826 – 20 July 1866) was a German mathematician who made contributions to analysis, number theory, and differential geometry. In the field of real analysis, he is mostly known for the first rig ...

(

shock tube : ''For the pyrotechnic initiator, see Shock tube detonator'' The 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). On 1–2 May 1997 a symposium entitled: ''Godunov-type numerical methods'', was held at the

University of Michigan , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...

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.

Education

*1946-1951 - Department of Mechanics and Mathematics,

Moscow State University M. V. Lomonosov Moscow State University (MSU; russian: Московский государственный университет имени М. В. Ломоносова) is a public research university in Moscow, Russia and the most prestigious ...

. *1951 - Diploma (M. S.),

. *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 The Academy of Sciences of the Soviet Union was the highest scientific institution of the Soviet Union from 1925 to 1991, uniting the country's leading scientists, subordinated directly to the Council of Ministers of the Soviet Union (until 1946 ...

. *1994 - Member of the

(Academician). *1997 - Honorary professor of the

(Ann-Arbor, USA).

Awards

*1959 – Lenin Prize. *1972 – A.N. Krylov Prize of the

. *1993 – M.A. Lavrentiev Prize of the

Notes

References

*Godunov, Sergei K. (1954), ''Ph. D. Dissertation: Difference Methods for Shock Waves'', Moscow State University. *Godunov, S. K. (1959), A Difference Scheme for Numerical Solution of Discontinuous Solution of Hydrodynamic Equations, '' Mat. Sbornik, 47, 271-306'', translated US Joint Publ. Res. Service, JPRS 7225 Nov. 29, 1960. *Godunov, Sergei K. and Romenskii, Evgenii I. (2003) ''Elements of Continuum Mechanics and Conservation Laws'', Springer, . *Hirsch, C. (1990), ''Numerical Computation of Internal and External Flows'', vol 2, Wiley.

External links