Cover: Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations

Invariant imbedding and the numerical integration of boundary-value problems for unstable linear systems of ordinary differential equations

Published 1965

by Richard Ernest Bellman, H. H. Natsuyama, Robert E. Kalaba

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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.

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