| Sergei Godunov | |
| Birth Name: | Sergei Konstantinovich Godunov |
| Birth Date: | 17 July 1929 |
| Birth Place: | Moscow, Russian SFSR, USSR |
| Death Place: | Novosibirsk, Russia |
| Nationality: | Russian |
| Field: | Applied mathematics |
| Work Institutions: | Sobolev Institute of Mathematics, Novosibirsk, Russia |
| Alma Mater: | Moscow State University |
| Doctoral Advisor: | Ivan Petrovsky |
| Known For: | Godunov's theorem Godunov's scheme |
| Prizes: | Lenin Prize (1959) |
Sergei Konstantinovich Godunov (Russian: Серге́й Константи́нович Годуно́в; 17 July 1929 – 15 July 2023) was a Soviet and Russian professor at the Sobolev Institute of Mathematics of the Russian Academy of Sciences in Novosibirsk, Russia.
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]