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Parameter Identification

  • Avner Friedman
  • David S. Ross
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 3)

Abstract

The system (16.1) – (16.8) contains a number of unknowns: The development function, λ, and a number of diffusion coefficients and reaction rates. In this chapter we address the question of how to obtain diffusion and reaction rates experimentally.

Keywords

Inverse Problem Direct Problem Regularity Result Central Layer Development Function 
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.

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References

  1. 1.
    A. Friedman,Mathematics in Industrial Problems, Part 2, IMA Volumes in Mathematics and its Applications, #24, Springer-Verlag, New York (1988).zbMATHCrossRefGoogle Scholar
  2. 2.
    A. Friedman and F. Reitich, Parameter identification in reaction-diffusion models, Inverse Problems, 8 (1992), 187–192.MathSciNetCrossRefGoogle Scholar
  3. 3.
    K. C. Ng and D. S. Ross, Parameter identification problems in photographic science, Proceedings of the conference “Inverse Problems and Optimal Design in Industry,” eds. H. W. Engl and J. McLaughlin pp. 67–80, B.G. Teubner, Stuttgart (1994).Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Avner Friedman
    • 1
  • David S. Ross
    • 2
  1. 1.Department of MathematicsOhio State UniversityColumbusUSA
  2. 2.Department of Mathematics and StatisticsRochester Institute of TechnologyRochesterUSA

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