Computer Science – Numerical Analysis
Scientific paper
Dec 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976phdt........11h&link_type=abstract
Ph.D. Thesis Pennsylvania State Univ., University Park.
Computer Science
Numerical Analysis
Main Sequence Stars, Numerical Analysis, Stellar Models, Eigenvalues, Electron Scattering, Iteration, Newton Methods, Radiation Pressure, Taylor Series
Scientific paper
Analytic solutions have been developed for upper main sequence stars with electron scattering opacity. The effects of radiation pressure were included throughout the configuration. The stellar models consist of Taylor series expansions generated by computer assisted algebraic manipulation and fitted together by Newton iteration. Numerical models, computed by Haselgrove-Hoyle iterations, were compared to the analytic models and found to agree within 4 parts in 100,000 in all the eigenvalues including those at the radiative-convective interface. The analytic models provide a numerical calibration so that the accuracy of methods used in stellar structure computations can be determined.
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