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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 4, Pages 621–630
DOI: https://doi.org/10.7868/S0044466915040079 (Mi zvmmf10189) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Resolvent approach to the Fourier method in a mixed problem for the wave equation

V. V. Kornev, A. P. Khromov

Saratov State University, ul. Astrakhanskaya 83, Saratov, 410012, Russia
Full-text PDF (214 kB) Citations (13)
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DOI: https://doi.org/10.7868/S0044466915040079
Abstract: The method of contour integration as applied to the resolvent of the spectral problem is used to substantiate the Fourier method in a mixed problem for the wave equation with a complex potential and boundary conditions generalizing free-end boundary conditions. Minimum smoothness assumptions are made about the initial data. Krylov’s technique of accelerating the convergence of the Fourier method is essentially employed.
Key words: wave equation, Fourier method, formal solution, spectral problem for a second-order ordinary differential equation, resolvent.
Received: 22.10.2014
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 4, Pages 618–627
DOI: https://doi.org/10.1134/S0965542515040077
Bibliographic databases:
Document Type: Article
UDC: 519.633
MSC: Primary 35L20; Secondary 65M99
Language: Russian
Citation: V. V. Kornev, A. P. Khromov, “Resolvent approach to the Fourier method in a mixed problem for the wave equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:4 (2015), 621–630; Comput. Math. Math. Phys., 55:4 (2015), 618–627
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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