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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 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

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.

UDC: 519.624.2

Received: 13.07.2011


 English version:
Computational Mathematics and Mathematical Physics, 2011, 51:12, 2079–2101

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© Steklov Math. Inst. of RAS, 2026