Invariant Imbedding and the Integration of Hamilton's Equations

Richard Ernest Bellman, Robert E. Kalaba

ResearchPublished 1963

Based on earlier work on the application of the principle of invariant imbedding to problems in transport theory, the authors describe a countercurrent flow model which can be associated with any mechanical process described by Hamilton's equations of motion. They then show how the determination of certain reflection and transmission functions, which occur naturally in the transport process, leads to the solution of Hamilton's equations. Examples are given, and possible future applications are sketched.

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  • Copyright: RAND Corporation
  • Availability: Available
  • Year: 1963
  • Print Format: Paperback
  • Paperback Pages: 25
  • Paperback Price: $20.00
  • Document Number: RM-3538-PR

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RAND Style Manual
Bellman, Richard Ernest and Robert E. Kalaba, Invariant Imbedding and the Integration of Hamilton's Equations, RAND Corporation, RM-3538-PR, 1963. As of October 14, 2024: https://www.rand.org/pubs/research_memoranda/RM3538.html
Chicago Manual of Style
Bellman, Richard Ernest and Robert E. Kalaba, Invariant Imbedding and the Integration of Hamilton's Equations. Santa Monica, CA: RAND Corporation, 1963. https://www.rand.org/pubs/research_memoranda/RM3538.html. Also available in print form.
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