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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 12, Pages 2209–2232 (Mi zvmmf9587)  
The theory of regularized traces of Sturm–Liouville operators as applied to approximate calculation of eigenvalues and eigenfunctions of certain singular operators

M. K. Kerimov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
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Abstract: The effectiveness of the theory of regularized traces as applied to the approximate calculation of eigenvalues and eigenfunctions is demonstrated for certain singular differential operators. Singular operators of the Bessel type and operators from fluid dynamics and mathematical physics are considered.
Key words: singular differential operators, theory of regularized traces, approximate calculation of eigenvalues and eigenfunctions.
Received: 13.07.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 12, Pages 2079–2101
DOI: https://doi.org/10.1134/S0965542511120141
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: M. K. Kerimov, “The theory of regularized traces of Sturm–Liouville operators as applied to approximate calculation of eigenvalues and eigenfunctions of certain singular operators”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011), 2209–2232; Comput. Math. Math. Phys., 51:12 (2011), 2079–2101
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:85
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