Evaluation of Functionals of Solutions of Fredholm Integral Equations with Displacement Kernels.

H. H. Natsuyama, Robert E. Kalaba, S. Ueno

ResearchPublished 1967

A simplified method of evaluating functionals of solutions of Fredholm integral equations using the b and h functions reported in RM-5295-PR. RM-5295-PR showed that all the important functions of multiple scattering could be expressed with ease in terms of the simpler b and h, which represent the internal specific intensities in atmospheres illuminated isotropically from the top (b) or bottom (h). A more generalized mathematical treatment is presented in this study. The functions b and h depend on only three variables, whereas I depends on four, and their use avoids a matrix inversion. 11 pp. Refs.

Order a Print Copy

Format
Paperback
Page count
-245 pages
List Price
$20.00
Buy link
Add to Cart

Document Details

  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1967
  • Print Format: Paperback
  • Paperback Pages: -245
  • Paperback Price: $20.00
  • Document Number: RM-5459-PR

Citation

RAND Style Manual
Natsuyama, H. H., Robert E. Kalaba, and S. Ueno, Evaluation of Functionals of Solutions of Fredholm Integral Equations with Displacement Kernels. RAND Corporation, RM-5459-PR, 1967. As of September 24, 2024: https://www.rand.org/pubs/research_memoranda/RM5459.html
Chicago Manual of Style
Natsuyama, H. H., Robert E. Kalaba, and S. Ueno, Evaluation of Functionals of Solutions of Fredholm Integral Equations with Displacement Kernels. Santa Monica, CA: RAND Corporation, 1967. https://www.rand.org/pubs/research_memoranda/RM5459.html. Also available in print form.
BibTeX RIS

This publication is part of the RAND research memorandum series. The research memorandum series, a product of RAND from 1948 to 1973, included 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.

RAND 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.