Discrete space theory of radiative transfer II. Stability and non-negativity
- 21 October 1969
- journal article
- Published by The Royal Society in Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
- Vol. 313 (1513) , 199-216
- https://doi.org/10.1098/rspa.1969.0188
Abstract
A number of algorithms for solving one-dimensional monochromatic radiative transfer problems were summarized in Grant & Hunt (1968 b ). 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.Keywords
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