Sergei K. Godunov

Sergei Konstantinovich Godunov (Russian: Сергей Константинович Годунов, scientific transliteration Sergei Konstantinović Godunov; born July 17, 1929 in Moscow ) is a Russian mathematician.

Career

He made 1951 his diploma at the Moscow State University. In 1954 he received his doctorate at Ivan Petrovsky Georgijewitsch ( differences methods for shock waves ) and 1965 he completed his habilitation (Russian doctorate ). 1951 to 1953 he was at the Steklov Institute in Moscow, and from 1953 at the Keldysh Institute of Applied Mathematics in Moscow, where he was head of laboratory in 1962. From 1969 he worked at the Computing Center of the Siberian Branch of the Soviet Academy of Sciences in Novosibirsk. Since 1980 he worked at the Sobolev Institute in Novosibirsk, where he headed a laboratory. 1981 to 1986 he was Vice President of the Institute. In 2000 he retired. He was also from 1969 to 1997 professor at the State University in Novosibirsk in the chair of differential equations.

In 1976 he became correspondent and 1994 a full member of the Russian Academy of Sciences. To him, the Lenin Prize in 1959, the Krylov Prize of the Soviet Academy of Sciences in 1972 and the Lavrentiev price of the Russian Academy of Sciences were awarded in 1993. In 1997 he became honorary professor at the University of Michigan in Ann Arbor.

How many applied mathematicians, he worked in the 1950s and 1960s on problems of space travel. Named after him is the Godunov splitting, a numerical solution of first-order partial differential equations with source terms process, and the Godunov method, which he published in 1959. That provided the basic idea of modern finite-volume method for the solution of conservation laws. The there emerging Riemann problems are solved exactly in the Godunov method, which is also possible for nonlinear systems. Interestingly, the method has not been used as in the Soviet Union, but until the 1980s in the United States. The Soviets simulated their nuclear missiles instead with the method of the American RW MacCormack.

In 1959 he proved that a linear method for solving partial differential equations, which is monotonic, ie does not generate new extremes, can be up to first order.

He wrote several textbooks and monographs in Russia, including on finite difference method, partial differential equations (especially in gas dynamics and its numerical solution), Continuum Mechanics and Linear Algebra.

Writings

  • A Finite Difference Method for the Numerical Computation of Discontinuous Solutions of the Equations of Fluid Dynamics, Mat Sb, Vol 47, pp. 357-393, 1959 ( Godunov method)
  • The problem of a generalized solution in the theory of quasi- linear equations and in gas dynamics, Russ. Math Survey, Vol 17, pp. 145-156, 1962
  • With Evgenii I. Elements of continuum mechanics Romenskii and conservation laws, Kluwer / Plenum, 2003
  • With VS Ryabenkii Difference schemes: an introduction to the underlying theory, Elsevier 1987
  • With VS Ryabenki Theory of difference schemes, an introduction, North Holland, Interscience 1964
  • Équations de la physique mathématique, Moscow, Paris 1973
  • Ordinary differential equations with constant coefficient, American Mathematical Society 1997
  • Modern aspects of linear algebra, American Mathematical Society 1998
Mikhail Lavrentyev Finite volume method Riemann-Problem Integrated Authority File
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