Statistics – Computation
Scientific paper
Mar 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984afz....20..365g&link_type=abstract
(Astrofizika, vol. 20, Mar.-Apr. 1984, p. 365-417) Astrophysics (ISSN 0571-7132), vol. 20, no. 2, Sept. 1984, p. 190-223. Transl
Statistics
Computation
9
Astronomical Spectroscopy, Computational Astrophysics, Electrodynamics, Emission Spectra, Radiative Transfer, Asymptotic Methods, Kernel Functions, Line Spectra, Probability Theory, Radiation Pressure, Sobolev Space, Stellar Spectra
Scientific paper
Theoretical models of radiative transfer in moving astrophysical media are examined in a review of studies based primarily on the escape-probability method of Sobolev (1947). Topics considered include the generalization of the approach to nonlocal radiative coupling, the kernel functions and their characteristic lengths and asymptotic behavior, the effect of supersonic motion on the spectral line profiles, and formation of maser lines, and radiation pressure. Other asymptotic methods and approximation schemes, numerical approaches, and multilevel problems are also discussed. The techniques based on the Sobolev model are shown to be at least as precise as the numerical methods, since the computational precision of the latter is rendered meaningless by the roughness of the underlying approximations and assumptions. It is argued that greater accuracy requires the simultaneous solution of the multilevel problems for the elements observed in an object and of the steady-state and heat-balance equations.
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