Statistics – Computation
Scientific paper
Jul 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990mnras.245..154g&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 245, July 1, 1990, p. 154-160.
Statistics
Computation
37
Boundary Value Problems, Computational Astrophysics, Eigenvalues, Stellar Oscillations, Cepheid Variables, Modal Response, Stellar Evolution, Stellar Models
Scientific paper
An alternative method for calculating linear nonadiabatic pulsations is proposed. It relies on the transformation of the linear two-point boundary eigenvalue problem to a numerically stable nonlinear initial value problem where eigensolutions are determined by a shooting technique. Even for arbitrarily high overtones, the method proposed does not suffer from resolution problems, and initial guesses for eigenvalue iteration are obtained without any reference to an approximation of the problem. By implicit solution the entire stellar model, including the very center, is taken into account for the stability analysis. The superiority of the method is demonstrated for the example of a classical Cepheid.
Gautschy Alfred
Glatzel Wolfgang
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