Approximate Integration of the Equation of Transger
Open Access
- 1 August 1951
- journal article
- research article
- Published by Oxford University Press (OUP) in Monthly Notices of the Royal Astronomical Society
- Vol. 111 (4) , 377-386
- https://doi.org/10.1093/mnras/111.4.377
Abstract
The value of numerical integration in obtaining approximate solutions of an equation of transfer, and the different methods at our disposal, are discussed. It is shown that although the Newton-Cotes method, used by Kourganoff, is better than the Gauss method, used by Chandrasekhar, both are inferior to a new method, the double-Gauss, discovered by the author. The errors in the approximate values of the source-function and the limb-darkening in all three methods are tabulated for various approximations, and illustrated by graphs.Keywords
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