Statistics – Computation
Scientific paper
Oct 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993mnras.264.1018s&link_type=abstract
Monthly Notices of the Royal Astronomical Society, vol. 264, p. 1018
Statistics
Computation
12
Solar Rotation, Solar Oscillations, Computational Astrophysics, Inversions, Helioseismology, Kernel Functions
Scientific paper
In the linearized integral formula for rotational splitting of solar p-mode frequencies, the dominant term in the kernel is a product of two terms, one depending on the radial coordinate alone, and the other depending solely on the colatitude. By retaining only this term in the equation, two-dimensional inverse techniques for the solar internal rotation can be formulated in such a way that the angular and radial inversions can be carried out separately. Thus the 2D inversion is reduced to two successive 1D inversions. This strategy leads to a dramatic reduction in computational burden when one is inverting huge data sets. It is also possible to improve the quality of the inversions significantly by a modification to the radial inversion procedure. In this paper, regularized least-squares data fitting and a modified optimally localized averaging are applied to the angular inversion and the radial inversion, respectively. The quality of the inversions is illustrated by means of the resulting averaging kernels.
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