Physics – Optics
Scientific paper
May 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983jpha...16l.239b&link_type=abstract
Journal of Physics A - Mathematical and General (ISSN 0305-4470), vol. 16, May 11, 1983, p. L239-L242. Research supported by the
Physics
Optics
Iterative Solution, Line Spectra, Radiative Transfer, Stellar Atmospheres, Atmospheric Optics, Convergence, Eigenvectors, Emissivity, Opacity, Spectrum Analysis
Scientific paper
The Lambda iteration makes it possible to solve the radiation transfer equation on the basis of a procedure which is computationally relatively cheap. However, some problems in modeling laboratory sources may require hundreds or thousands of iterations. Schemes which allow acceleration of the Lambda iteration are thus of great interest. The two acceleration schemes which have been applied to radiative transfer problems include the synthetic method and the Chebyshev semiiterative scheme. The present investigation is concerned with the stability of the synthetic scheme for radiative transfer applications. The method developed by Reed (1973) is used in the conducted analysis. The stability and convergence properties of the synthetic method are calculated and compared with numerical calculations.
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