Calculation of Spectral Characteristics of Perturbed Self-Adjoint Operators by Methods of Regularized Traces
- Autores: Kadchenko S.I.1,2, Kakushkin S.N.1
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Afiliações:
- G. I. Nosov Magnitogorsk State Technical University
- Institute of Natural Sciences of the South-Ural State University
- Edição: Volume 241, Nº 5 (2019)
- Páginas: 570-588
- Seção: Article
- URL: https://bakhtiniada.ru/1072-3374/article/view/242919
- DOI: https://doi.org/10.1007/s10958-019-04446-z
- ID: 242919
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Resumo
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.
Sobre autores
S. Kadchenko
G. I. Nosov Magnitogorsk State Technical University; Institute of Natural Sciences of the South-Ural State University
Autor responsável pela correspondência
Email: kadchenko@masu.ru
Rússia, Magnitogorsk; Chelyabinsk
S. Kakushkin
G. I. Nosov Magnitogorsk State Technical University
Email: kadchenko@masu.ru
Rússia, Magnitogorsk
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