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Numerical methods and programming, 2022, Volume 23, Issue 3, Pages 240–247
DOI: https://doi.org/10.26089/NumMet.v23r315 (Mi vmp1060) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Methods and algorithms of computational mathematics and their applications

The kantorovich projection method in the generalized quadratic spectrum approximation

Somia Kamouchea, Hamza Guebbaia, Mourad Ghiata, Muhammet Kurulayb

a University 08 May 1945, Department of Mathematics, Laboratory of Applied Mathematics and Modeling, Guelma, Algeria
b Yildiz Technical University, Faculty of Chemistry and Metallurgy, Department of Mathematics Engineering, Istanbul, Turkey
Full-text PDF (483 kB) Citations (1)
DOI: https://doi.org/10.26089/NumMet.v23r315
Abstract: The objective of this paper is to construct a generalized quadratic spectrum approximation based on the Kantorovich projection method which llows us to deal with the spectral pollution problem. For this purpose, we prove that the property U (see Eq. 3) holds under weaker conditions than the norm and the collectively compact convergence. Numerical results illustrate the effectiveness and the convergence of our method.
Keywords: spectral pollution, spectral approximation, Kantorovich projection, eigenvalue.
Received: 01.06.2022
Accepted: 23.06.2022
Document Type: Article
Language: English
Citation: Somia Kamouche, Hamza Guebbai, Mourad Ghiat, Muhammet Kurulay, “The kantorovich projection method in the generalized quadratic spectrum approximation”, Num. Meth. Prog., 23:3 (2022), 240–247
Citation in format AMSBIB
\Bibitem{KamGueGhi22}
\by Somia~Kamouche, Hamza~Guebbai, Mourad~Ghiat, Muhammet~Kurulay
\paper The kantorovich projection method in the generalized quadratic spectrum approximation
\jour Num. Meth. Prog.
\yr 2022
\vol 23
\issue 3
\pages 240--247
\mathnet{http://mi.mathnet.ru/vmp1060}
\crossref{https://doi.org/10.26089/NumMet.v23r315}
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    • This publication is cited in the following 1 articles:
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    		Numerical methods and programming
     
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