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 Zh. Vychisl. Mat. Mat. Fiz., 2012, Volume 52, Number 5, Pages 883–915 (Mi zvmmf9718)

The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems

M. K. Kerimov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia

Abstract: Some results concerning the computation of eigenvalues and eigenfunctions of fluid dynamics problems by applying methods of regularized traces of differential operators are presented. The presentation is focused primarily on the non-self-adjoint fourth-order Orr–Sommerfeld operator, which arises in the hydrodynamic stability theory of viscous flows.

Key words: approximate methods for problems concerning hydrodynamic stability of viscous flows, Orr–Sommerfeld differential operator, computation of eigenvalues and eigenfunctions, methods of regularized traces of operators.

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English version:
Computational Mathematics and Mathematical Physics, 2012, 52:5, 756–786

Bibliographic databases:

UDC: 519.634

Citation: M. K. Kerimov, “The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems”, Zh. Vychisl. Mat. Mat. Fiz., 52:5 (2012), 883–915; Comput. Math. Math. Phys., 52:5 (2012), 756–786

Citation in format AMSBIB
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