A rapidly convergent iterative solution of the non-LTE line radiation transfer problem

Details A rapidly convergent iterative solution of the non-LTE line radiation transfer problem A rapidly convergent iterative solution of the non-LTE line radiation transfer problem

Jun 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986jqsrt..35..431o&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 35, June 1986, p. 431-442.

Mathematics

152

Iterative Solution, Nonequilibrium Thermodynamics, Radiative Transfer, Convergence, Eigenvalues, Operators (Mathematics), Optical Thickness, Slabs

Scientific paper

An iterative scheme has been developed for the solution of the non-LTE line radiation transfer problem. The method uses an approximate operator that is deliberately chosen to be local so that it can be easily extended to multidimensional geometry. The difference between the formal and approximate solutions is used as a driving term for the iterations. In one-dimensional, semiinfinite and free-standing slabs, the technique is found to be very fast, robust, and applicable to a large class of problems.

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