Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations
Purchase Print Copy
|Add to Cart||Paperback15 pages||$20.00||$16.00 20% Web Discount|
In such diverse areas as radiative transfer in planetary atmospheres and optimal guidance and control, two-point boundary-value problems for unstable systems arise, greatly complicating the numerical solution. This memorandum presents an invariant imbedding technique that is useful in overcoming these frequently encountered instabilities. The results of some numerical experiments are also presented. The authors show that invariant imbedding can lead to the solution of seemingly unrelated problems in other areas. 15 pp.
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.