Solutions to radiative transfer problems using approximate lambda operators

Details Solutions to radiative transfer problems using approximate lambda operators Solutions to radiative transfer problems using approximate lambda operators

Oct 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...249..720s&link_type=abstract

Astrophysical Journal, Part 1, vol. 249, Oct. 15, 1981, p. 720-730.

Computer Science

Numerical Analysis

111

Eddington Approximation, Iterative Solution, Perturbation Theory, Quadratures, Radiative Transfer, Thermodynamic Equilibrium, Computer Programs, Differential Equations, Numerical Analysis, Photons

Scientific paper

An approximate analytical method and an exact numerical method for solving non-LTE problems are presented. The analytical method relies on concepts of radiative transfer theory such as the core-saturation approximation, the Eddington-Barbier relation, and the upper boundary condition, to derive a simple first-order differential equation for the line source function. The more efficient technique is developed using a linear test function and a one-point quadrature relation between the specific intensity and the source function. A 1% accuracy in the line source function can be obtained after four iterations, with a very rapid convergence and no evidence of numerical instabilities.

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