Email this article Calculation of Spectral Characteristics of Perturbed Self-Adjoint Operators by Methods of Regularized Traces
- Authors: Kadchenko S.I.1,2, Kakushkin S.N.1
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Affiliations:
- G. I. Nosov Magnitogorsk State Technical University
- Institute of Natural Sciences of the South-Ural State University
- Issue: Vol 241, No 5 (2019)
- Pages: 570-588
- Section: Article
- URL: https://journal-vniispk.ru/1072-3374/article/view/242919
- DOI: https://doi.org/10.1007/s10958-019-04446-z
- ID: 242919
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Abstract
We discuss basic theoretical principles underlying new numerical methods of calculation of eigenvalues and eigenfunctions of discrete operators semi-bounded from below. We present algorithms of finding spectral characteristics by methods of regularized traces and examples related to certain spectral Sturm–Liouville problems.
About the authors
S. I. Kadchenko
G. I. Nosov Magnitogorsk State Technical University; Institute of Natural Sciences of the South-Ural State University
Author for correspondence.
Email: kadchenko@masu.ru
Russian Federation, Magnitogorsk; Chelyabinsk
S. N. Kakushkin
G. I. Nosov Magnitogorsk State Technical University
Email: kadchenko@masu.ru
Russian Federation, Magnitogorsk
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