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Invariant imbedding: Semigroups in time, space and structure

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

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References

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

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

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

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

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

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  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.

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

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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.

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

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

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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.

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Authors
  1. Richard Bellman
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John Ll. Morris

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© 1971 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05656-0

  • Online ISBN: 978-3-540-36976-9

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