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The Application of Feautrier’s Technique to Problems in Radiative Transfer

Published online by Cambridge University Press:  25 April 2016

C. J. Cannon
C. J. Cannon*
Affiliation:
Department of Applied Mathematics, University of Sydney
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Extract

There exists a large number of varying methods of solution in radiative transfer theory. House and Avery have recendy published an exposition of the Monte-Carlo technique and the very nature of this solution makes it readily amenable, in theory, to the study of any transfer problem. Grant and Hunt have developed a method involving the invariant Sn matrix transformation and this also appears quite general in its application. Further, the Riccati transformation technique, developed by Rybicki and Hummer, has already been used in solving several different transfer problems. However, these methods have certain disadvantages. The equations are of first order and thus stability difficulties arise. Also, the finer details of the method rely, to a large extent, on the particular problem under consideration, and experience with such a method is required for the efficient computation of solutions.

Type
Contributions
Information
Publications of the Astronomical Society of Australia , Volume 1 , Issue 8 , September 1970 , pp. 386 - 387
Copyright
Copyright © Astronomical Society of Australia 1970

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References

1 House, L. L. and Avery, L. W., JQSRT, 9, 1579 (1969).CrossRefGoogle Scholar
2 Grant, I. P. and Hunt, G. E., MNRAS, 141, 27 (1968).CrossRefGoogle Scholar
3 Rybicki, G. and Hummer, D. G., Ap. J., 150, 607 (1967).Google Scholar
4 Feautrier, P., CR, 258, 3189 (1964).Google Scholar
5 Auer, L., Ap. J., 150, 153 (1967).CrossRefGoogle Scholar
6 Cannon, C. J., Ap. J., in press, 1970.Google Scholar
7 Rees, D. E., Proc. ASA, I, 384 (1970).Google Scholar
8 Cannon, C. J. and Rees, D. E., to be submitted to JQSRT.Google Scholar