Direct and Inverse Problems for Integral Equations via Initial-Value Methods.

by H. H. Natsuyama, Robert E. Kalaba

Purchase

Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback-245 pages $20.00 $16.00 20% Web Discount

A numerical scheme for solving integral equations which exploits the capability of modern computers to integrate systems of several hundred or several thousand simultaneous ordinary differential equations subject to known initial conditions. The scheme is based on the conversion of a basic integral equation of transport theory into initial-value problems. Inverse problems, which involve estimating properties of the sources of the radiation field and the medium, given certain observations on the solution of the radiation field, are viewed as nonlinear multipoint boundary-value problems that can be solved numerically by a quasilinearization technique. Results of numerical experiments are included, as well as numerous references to other works on the subject. The study should be of particular interest to meteorologists, physicists, and numerical analysts. 39 pp. Refs.

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.

Our mission to help improve policy and decisionmaking through research and analysis is enabled through our core values of quality and objectivity and our unwavering commitment to the highest level of integrity and ethical behavior. To help ensure our research and analysis are rigorous, objective, and nonpartisan, we subject our research publications to a robust and exacting quality-assurance process; avoid both the appearance and reality of financial and other conflicts of interest through staff training, project screening, and a policy of mandatory disclosure; and pursue transparency in our research engagements through our commitment to the open publication of our research findings and recommendations, disclosure of the source of funding of published research, and policies to ensure intellectual independence. For more information, visit www.rand.org/about/research-integrity.

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.