On discrete spectrum calculations in radiative transfer

Details On discrete spectrum calculations in radiative transfer On discrete spectrum calculations in radiative transfer

Nov 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989jqsrt..42..385g&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 42, Nov. 1989, p. 385-394. Research supported

Statistics

Computation

12

Fourier Analysis, Radiative Transfer, Scattering, Spectral Methods, Algorithms, Discrete Functions, Eigenvalues, Legendre Functions

Scientific paper

The discrete spectrum for each component problem in a Fourier decomposition of the equation of transfer is analyzed for the case of an Lth-order scattering law. The problem of determining the number of zeros of the dispersion function for each Fourier-component problem and the problem of computing all of these zeros are formulated and resolved in terms of Sturm sequences. Computational aspects of the numerical methods are discussed, and the developed algorithms are implemented to yield especially accurate numerical results for two test problems.

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