Two basis sets for the g- and p-modes of self gravitating fluids

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astrophysics, Convective Flow, Eigenvalues, Eigenvectors, Calculus Of Variations, Operators (Mathematics), Rayleigh-Ritz Method

Scientific paper

Completeness of the sets of trial functions used in the numerical
calculation of the eigenvalues and eigenvectors of the g- and p-modes of
convectively neutral fluids is explicitly shown. Also, in the case of
g-modes, it is proved that the eigenvectors obtained by the
Rayleigh-Ritz variational method do converge to the actual eigenvectors.

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