Statistics – Computation
Scientific paper
Aug 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...413..422g&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 413, no. 1, p. 422-434.
Statistics
Computation
Helioseismology, Solar Interior, Solar Oscillations, Computational Astrophysics, Frequency Distribution, Nonlinear Equations
Scientific paper
This paper explores a new set of methods and algorithms to solve the inverse problem in solar seismology. The continuous orthonormalization (CON) method and the adjoint method adapted by Rosenwald (1989) can be used to compute the eigenfrequency sensitivities to the solar structure parameters in a very efficient way. The computational algorithm for using these methods is here modified and improved; the solar interior is subdivided into sections, and polynomial fits are applied to the solar structure parameters in each section. The eigenfrequency sensitivities to the respective polynomial coefficients are computed in order to predict the change in solar eigenfrequencies when the structure parameters are perturbed. The inverse problem for the solar internal structure is formulated by using these sensitivities. The generalized inverse technique is used to solve the nonlinear inverse problem in an iterative process. The inversion results from low-degree g-modes are roughly consistent with those from p-modes in the range of 0.25-0.7 solar radii.
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