Invariant imbedding and mathematical physics--I: particle processes.

by Richard Ernest Bellman, Robert E. Kalaba, G. M. Wing


Purchase Print Copy

 FormatList Price Price
Add to Cart Paperback116 pages $15.00 $12.00 20% Web Discount

A derivation, using invariance principles in a systematic fashion, not only of new analytic formulations of the classical particle processes (namely, those of transport theory, radiative transfer, random walk, multiple scattering, and diffusion theory), but also of new computational algorithms that seem well fitted to the capabilities of digital computers. Whereas the usual methods reduce problems to the solution of systems of linear equations, an attempt is made to reduce problems to the iteration of nonlinear transformations. 116 pp.

This report is part of the RAND Corporation Paper series. The paper was a product of the RAND Corporation from 1948 to 2003 that captured speeches, memorials, and derivative research, usually prepared on authors' own time and meant to be the scholarly or scientific contribution of individual authors to their professional fields. Papers were less formal than reports and did not require rigorous peer review.

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

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.