A class of strongly stable approximation for unbounded operators-Reference-Cited by-同舟云学术

A class of strongly stable approximation for unbounded operators

Published:2019 Issue:126 Volume: Page:218-234
ISSN:1810-0198
Container-title:Tambov University Reports. Series: Natural and Technical Sciences
language:
Short-container-title:Tamb. Un. Rep. Ser. Nat. Tech. Sci.

Author:

Khellaf Ammar¹,Benarab Sarra²,Guebbai Hamza¹,Merchela Wassim²

Affiliation:

1. University 8 Mai 1945

2. Derzhavin Tambov State University

Abstract

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 Schr¨odinger’s operator where the discretization process based upon the Kantorovich’s projection.

Publisher

Tambov State University - G.R. Derzhavin

Reference14 articles.

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