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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 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
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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.
Received: 23.12.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 5, Pages 756–786
DOI: https://doi.org/10.1134/S0965542512050120
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
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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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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