Discrete Space Theory of Radiative Transfer. II. Stability and Non- Negativity

Details Discrete Space Theory of Radiative Transfer. II. Stability and Non- Negativity Discrete Space Theory of Radiative Transfer. II. Stability and Non- Negativity

Oct 1969

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1969rspsa.313..199g&link_type=abstract

Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 313, Issue 1513, pp. 199-216

Physics

27

Scientific paper

A number of algorithms for solving one-dimensional monochromatic radiative transfer problems were summarized in Grant & Hunt (1968b). This paper is concerned with the mathematical proofs of existence and non-negativity of the solutions, together with the stability of the algorithms. These results may be obtained with very general assumptions, and permit us to use the algorithms in practical problems with confidence. Numerical evidence is presented to support the main conclusions.

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