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

Jean Descloux; Mitchell Luskin; Jacques Rappaz

doi:10.1090/S0025-5718-1981-0595047-5

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

Jean Descloux, Mitchell Luskin, Jacques Rappaz

Mathematics

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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.

Original language	English (US)
Pages (from-to)	137-154
Number of pages	18
Journal	Mathematics of Computation
Volume	36
Issue number	153
DOIs	https://doi.org/10.1090/S0025-5718-1981-0595047-5
State	Published - Jan 1981

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

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