This article is cited in 2 scientific papers (total in 3 papers)
Monte Carlo methods in applied mathematics and computational aerodynamics
O. M. Belotserkovskiia, Yu. I. Khlopkovb
a Institute of Automated Design, Russian Academy of Sciences, Vtoraya Brestskaya ul. 18/2, Moscow, 123056, Russia
b Zhukovsky Central Institute of Aerohydrodynamics,
ul. Zhukovskogo 1, Zhukovskii, Moscow oblast, 140186, Russia
A survey of the Monte Carlo methods developed in the computational aerodynamics of rarefied gases is given, and application of these methods in unconventional fields is described. A short history of these methods is presented, and their advantages and drawbacks are discussed. A relationship of the direct statistical simulation of aerodynamical processes with the solution of kinetic equations is established; it is shown that the modern stage of the development of computational methods is impossible without the use of the complex approach to the development of algorithms with regard for all the specific features of the problem to be solved (its physical nature, mathematical model, the theory of computational mathematics, and stochastic processes). Possible directions of the development of the statistical simulation methods are discussed.
Monte Carlo method, computational aerodynamics, survey of computational methods.
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Computational Mathematics and Mathematical Physics, 2006, 46:8, 1418–1441
O. M. Belotserkovskii, Yu. I. Khlopkov, “Monte Carlo methods in applied mathematics and computational aerodynamics”, Zh. Vychisl. Mat. Mat. Fiz., 46:8 (2006), 1494–1518; Comput. Math. Math. Phys., 46:8 (2006), 1418–1441
Citation in format AMSBIB
\by O.~M.~Belotserkovskii, Yu.~I.~Khlopkov
\paper Monte Carlo methods in applied mathematics and computational aerodynamics
\jour Zh. Vychisl. Mat. Mat. Fiz.
\jour Comput. Math. Math. Phys.
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