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Approximation of the spectrum of closed operators: the determination of normal modes of a rotating basin


Authors: Jean Descloux, Mitchell Luskin and Jacques Rappaz
Journal: Math. Comp. 36 (1981), 137-154
MSC: Primary 65N30; Secondary 47A10, 65J10
DOI: https://doi.org/10.1090/S0025-5718-1981-0595047-5
MathSciNet review: 595047
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Abstract: This paper gives a theory of spectral approximation for closed operators in Banach spaces. The perturbation theory developed in this paper is applied to the study of a finite element procedure for approximating the spectral properties of a differential system modeling a fluid in a rotating basin.


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DOI: https://doi.org/10.1090/S0025-5718-1981-0595047-5
Article copyright: © Copyright 1981 American Mathematical Society