Geodesic
A class of strongly stable approximation for unbounded operators
Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 126, pp. 218-234 Cet article a éte moissonné depuis la source Math-Net.Ru

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We derive new sufficient conditions to solve the spectral pollution problem by using the generalized spectrum method. This problem arises in the spectral approximation when the approximate matrix may possess eigenvalues which are unrelated to any spectral properties of the original unbounded operator. We develop the theoretical background of the generalized spectrum method as well as illustrate its effectiveness with the spectral pollution. As a numerical application, we will treat the Schrödinger's operator where the discretization process based upon the Kantorovich's projection.
Keywords: eigenvalue approximation, generalized spectrum approximation, Schrödinger operator.
Mots-clés : spectral pollution 
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A. Khellaf; S. Benarab; H. Guebbai; W. Merchela. A class of strongly stable approximation for unbounded operators. Vestnik rossijskih universitetov. Matematika, Tome 24 (2019) no. 126, pp. 218-234. http://geodesic.mathdoc.fr/item/VTAMU_2019_24_126_a7/

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