Skip to main content

Invariant imbedding: Semigroups in time, space and structure

Invited Papers

Part of the Lecture Notes in Mathematics book series (LNM,volume 228)

Keywords

  • Transport Theory
  • Elsevier Publ
  • Semigroup Property
  • Transmission Matrice
  • Invariant Imbed

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Angel, E., and R. Bellman, Partial Differential Equations and Dynamic Programming, Academic Press, New York (to appear).

    Google Scholar 

  2. Bellman, R., and P. Brock, "On the Concepts of a Problem and Problem-Solving," Amer. Math. Monthly, Vol. 67, 1960, pp. 119–134.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Bellman, R., Dynamic Programming, Princeton University Press, Princeton, New Jersey, 1957.

    MATH  Google Scholar 

  4. Bellman, R., Adaptive Control Processes: A Guided Tour, Princeton University Press, Princeton, New Jersey, 1961.

    CrossRef  MATH  Google Scholar 

  5. Bellman, R., Perturbation Techniques in Mathematics, Physics and Engineering, Holt, Rinehart and Winston, New York, 1964.

    MATH  Google Scholar 

  6. Bellman, R., R. Kalaba, and G. M. Wing, "Invariant Imbedding and Mathematical Physics—I: Particle Processes," J. Math. Phys., Vol. 1, 1960, pp. 280–308.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. Bellman, R., K. L. Cooke, and J. Lockett, Algorithms, Graphs and Computers, Academic Press, New York, 1970.

    Google Scholar 

Some computational results will be found in

  1. Bellman, R., R. Kalaba, and M. Prestrud, Invariant Imbedding and Radiative Transfer in Slabs of Finite Thickness, Amer. Elsevier Publ. Co., Inc., New York, 1963.

    MATH  Google Scholar 

  2. Bellman, R., H. Kagiwada, R. Kalaba, and M. Prestrud, Invariant Imbedding and Time-Dependent Processes, Amer. Elsevier Publ. Co., Inc., New York, 1964.

    MATH  Google Scholar 

  3. Hille, E., and R. Phillips, "Functional Analysis and Semigroups," Anal., Math. Soc. Colloq., Vol. 31, 1948.

    Google Scholar 

A discussion of transport theory and invariant imbedding will be found in

  1. Wing, G. M., An Introduction to Transport Theory, John Wiley and Sons, Inc., New York, 1962.

    Google Scholar 

Download references

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1971 Springer-Verlag

About this paper

Cite this paper

Bellman, R. (1971). Invariant imbedding: Semigroups in time, space and structure. In: Morris, J.L. (eds) Conference on Applications of Numerical Analysis. Lecture Notes in Mathematics, vol 228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0069444

Download citation

  • DOI: https://doi.org/10.1007/BFb0069444

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05656-0

  • Online ISBN: 978-3-540-36976-9

  • eBook Packages: Springer Book Archive