This article is cited in 1 paper

Methods and algorithms of computational mathematics and their applications

The kantorovich projection method in the generalized quadratic spectrum approximation

Somia Kamouche^a, Hamza Guebbai^a, Mourad Ghiat^a, Muhammet Kurulay<sup>b

a</sup> 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

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

Language: English

DOI: 10.26089/NumMet.v23r315