Computation of the lowest eigenvalue arising from the problem of stellar stability by the method of Schwartz iteration

Details Computation of the lowest eigenvalue arising from the problem of stellar stability by the method of Schwartz iteration Computation of the lowest eigenvalue arising from the problem of stellar stability by the method of Schwartz iteration

Jun 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982ap%26ss..84..307h&link_type=abstract

Astrophysics and Space Science, vol. 84, no. 2, June 1982, p. 307-316.

Astronomy and Astrophysics

Astrophysics

Convergence, Eigenvalues, Iterative Solution, Stellar Models, Stellar Oscillations, Laguerre Functions, Numerical Stability, Run Time (Computers), Variational Principles

Scientific paper

The Schwartz iteration procedure is used to compute the lowest eigenvalue from the equation for radial oscillations of stars. It was found that the convergence of the the iteration had an oscillating convergence. This made it unsuitable for the computation of the higher eigenvalues. A series of associated Laguerre functions is suggested as a method of obtaining better results.

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