Sergei Godunov

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 (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).

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 died on 15 July 2023, two days shy of his 94th birthday.[1]

• 1946–1951 – Department of Mechanics and Mathematics, Moscow State University.
• 1951 – Diploma (M. S.), Moscow State University.
• 1954 – Candidate of Physical and Mathematical Sciences (Ph. D.).
• 1965 – Doctor of Physical and Mathematical Sciences (D. Sc.).
• 1976 – Corresponding member of the Academy of Sciences of the Soviet Union.
• 1994 – Member of the Russian Academy of Sciences (Academician).
• 1997 – Honorary professor of the University of Michigan (Ann-Arbor, USA).

• 1954 – Order of the Badge of Honour
• 1956 – Order of the Red Banner of Labour
• 1959 – Lenin Prize
• 1972 – A.N. Krylov Prize of the Academy of Sciences of the Soviet Union
• 1975 – Order of the Red Banner of Labour
• 1981 – Order of the Badge of Honour
• 1993 – M.A. Lavrentyev Prize of the Russian Academy of Sciences
• 2010 – Order of Honour
• 2020 - SAE/Ramesh Agarwal Computational Fluid Dynamics Award
• 2023 – Order of Alexander Nevsky

• Riemann solver
• Total variation diminishing
• Upwind scheme

• 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 November 29, 1960.
• Godunov, Sergei K. and Romenskii, Evgenii I. (2003) Elements of Continuum Mechanics and Conservation Laws, Springer, ISBN 0-306-47735-1.
• Hirsch, C. (1990), Numerical Computation of Internal and External Flows, vol 2, Wiley.

• Sergei Godunov at the Mathematics Genealogy Project
• Godunov's Personal Web Page
• Sobolev Institute of Mathematics Archived 16 December 2014 at the Wayback Machine