The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 883-915
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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.
@article{ZVMMF_2012_52_5_a12,
author = {M. K. Kerimov},
title = {The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {883--915},
publisher = {mathdoc},
volume = {52},
number = {5},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a12/}
}
TY - JOUR AU - M. K. Kerimov TI - The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2012 SP - 883 EP - 915 VL - 52 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a12/ LA - ru ID - ZVMMF_2012_52_5_a12 ER -
%0 Journal Article %A M. K. Kerimov %T The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2012 %P 883-915 %V 52 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a12/ %G ru %F ZVMMF_2012_52_5_a12
M. K. Kerimov. The theory of regularized traces of operators as applied to approximate computation of eigenvalues and eigenfunctions of fluid dynamics problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 5, pp. 883-915. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_5_a12/