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Abstract: In one-dimensional case implicit monotone finite difference schemes are proposed to approximate gas dynamics problems. It is proved that a solution to FDEs exists and is unique. The schemes proposed can be extended to many-dimensional case. Numerical solution of some gas dynamics problems is demonstrated.
Bio: Georgy Kobelkov graduated from high school with a gold medal. In 1970 he graduated from the Faculty of Mechanics and Mathematics of Lomonosov Moscow State University in the Department of Computational Mathematics. He completed his thesis work under the guidance of Academician A.N.Tikhonov. He defended his Ph.D. thesis in 1975 (supervisor - Academician N.S.Bakhvalov). Doctor of Physical and Mathematical Sciences since 1985. Professor since 1987. Since 1991 he has been the head of the laboratory of computer modeling at the Faculty of Mechanics and Mathematics of Moscow State University. Since 2007 he has been the head of the Department of Computational Mathematics, a leading researcher at the Marchuk Institute of Computational Mathematics of RAS.
Awards:
Laureate of the Prize of the Department of Mathematics of the USSR Academy of Sciences (1989)
Laureate of the Prize. M. V. Lomonosov (1998)
Laureate of the Prize. M. V. Lomonosov for pedagogical activity (2010)
