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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 3, Pages 409–446 (Mi zvmmf9668)  
This article is cited in 3 scientific papers (total in 3 papers)

Approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying the theory of regularized traces

M. K. Kerimov

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333 Russia
Full-text PDF (452 kB) Citations (3)
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Abstract: This paper overviews studies dealing with the approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying methods of the theory of regularized traces. Dorodnicyn’s method and its development in the form of the theory of regularized traces of differential operators are described.
Key words: Sturm-–Liouville differential operators, theory of regularized traces of differential operators, approximate methods for computing eigenvalues and eigenfunctions, Dorodnicyn’s method.
Received: 30.09.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 3, Pages 351–386
DOI: https://doi.org/10.1134/S0965542512030165
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: M. K. Kerimov, “Approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying the theory of regularized traces”, Zh. Vychisl. Mat. Mat. Fiz., 52:3 (2012), 409–446; Comput. Math. Math. Phys., 52:3 (2012), 351–386
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Æóðíàë âû÷èñëèòåëüíîé ìàòåìàòèêè è ìàòåìàòè÷åñêîé ôèçèêè Computational Mathematics and Mathematical Physics
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