A Practical Method for Determining Green's Functions Using Hadamard's Variational Formula.

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 method of computing Green's function as the solution of stable initial-value problems, using analog and digital computers to integrate large systems of ordinary differential equations subject to initial conditions. The solutions to many problems in mechanics, wave propagation, and mathematical physics can be represented in terms of Green's functions, but because of the difficulty of obtaining Green's functions either analytically or computationally, these representations have been viewed as theoretical rather than practical. The present method makes use of the work of Hadamard, in which the behavior of the Green's function is studied at a fixed point as a function of the length of the interval. Results of some numerical experiments are also included. 15 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.

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.