Newton's Method for the Nonlinear Integral Equation for the H Function of Isotropic Scattering.
Purchase
Purchase Print Copy
| Format | List Price | Price | |
|---|---|---|---|
| Add to Cart | Paperback12 pages | $20.00 | $16.00 20% Web Discount |
The application of a version of Newton's method to the numerical solution of a basic nonlinear integral equation in the theory of radiative transfer. A sequence of rapidly convergent approximations to the H function of Chandrasekhar is determined. The method evaluates integrals by means of a gaussian quadrature formula, and the resulting equations can be used to obtain values quickly and accurately. Using an IBM 7044 digital computer, computing time for the Newton method was approximately 5 to 10 seconds for all cases considered in the experiment. 12 pp. (KB)
This report is part of the RAND Corporation Research memorandum series. The Research Memorandum was a product of the RAND Corporation from 1948 to 1973 that represented working papers meant to report current results of RAND research to appropriate audiences.
This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.
The RAND Corporation is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.