Skip to main content

Inverse problems in mathematics for industry

Part of the Lecture Notes in Mathematics book series (LNMCIME,volume 1521)

Keywords

  • Inverse Problem
  • Direct Problem
  • Fuzzy Subset
  • Iterate Function System
  • Convection Coefficient

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   29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   39.95
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. Barnsley M.F., Demko S., “Iterated Function Systems and the Global Construction of Fractals”, Proc. Roy. Soc. London Ser. A 399, 243–275 (1985).

    CrossRef  MathSciNet  MATH  Google Scholar 

  2. Barnsley M.F., Ervin V., Hardin D., and Lancaster J., “Solution of an Inverse Problem for Fractals and Other Sets”, Proc. Nat. Acad. Sci. USA, vol. 83, 1975–1977 (1986).

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. Barnsley M.F., Fractals Everywhere, Academic Press Inc., San Diego, CA (1988).

    MATH  Google Scholar 

  4. Barnsley M.F., Sloan A.D., “A Better Way to Compress Images”, BYTE Magazine, Jan. Issue, 215–223 (1988).

    Google Scholar 

  5. Barnsley M.F., Elton J. and Hardin D.P., “Recurrent Iterated Function Systems”, Constr. Approx. B5, 5–31 (1989).

    MathSciNet  MATH  Google Scholar 

  6. Devaney R., An Introduction to Chaotic Dynamical Systems, Addison Wesley (1986).

    Google Scholar 

  7. Birkhoff G.D., “Dynamical Systems”, AMS Colloquium Publications, vol. 9 (1927), revised edition (1966).

    Google Scholar 

  8. Galiullin A.S., Inverse Problems of Dynamics, Mir Publishers (1984).

    Google Scholar 

  9. Cabrelli C.A, Forte B., Molter U.M. and Vrscay E.R., “Iterated Fuzzy Set Systems: A New Approach to the Inverse Problem for Fractals and Other Sets”, to appear in J. Math. Anal. Appl. (1992).

    Google Scholar 

  10. Cabrelli C.A., Molter U.M., “Density of Fuzzy Attractors: A Step Towards the Solution of the Inverse Problem for Fractals and Other Sets”, manuscript.

    Google Scholar 

  11. Dubuc S., Elqortobi A., “Approximations of Fractal Sets,”, J. Comput. and Appl. Math. 29, 79–89 (1990).

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. Gladwell G.M.L., “Lectures on Inverse Problems”, n. 1, SASIAM Reports, Bari Tecnopolis (1989).

    Google Scholar 

  13. Elton J.H., “An Ergodic Theorem for Iterated Maps”, Ergod. Th. & Dynam. Sys. 7, 481–488 (1987).

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. Harvey G.F., “Mathematical Simulation of Tight Coil Annealing”, J. Aust. Inst. Metals 22, 1, 28–37 (1977).

    Google Scholar 

  15. Hutchinson J., “Fractals and Self-similarity”, Indiana Univ. Math. J. 30, 713–747 (1981).

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. Kloeden P.E., “Fuzzy Dynamical Systems”, Fuzzy Sets and Systems 7, 275–296 (1982).

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. Lavrentiev M.M., “Some Improperly Posed Problems of Mathematical Physics”, Springer Tracts in Natural Philosophy, vol. 11, C. Truesdell ed., Springer-Verlag (1967).

    Google Scholar 

  18. Meshcherskii I.V., “Works on the Mechanics of Bodies with Varying Mass”, Gostekhizdat, Moskow, Leningrad (1949), (in Russian).

    Google Scholar 

  19. Mundie D., “A Mathematical Model of the Batch Annealing Process”, Master's Thesis, University of Waterloo, Dept. of Applied Mathematics (1981).

    Google Scholar 

  20. Stikker U.O., “Numerical Simulation of the Coil Annealing Process, Mathematical Models in Metallurgical Process Development”, ISI publ., 123, 104–114 (1970).

    Google Scholar 

  21. Suslov G.K., “On a Force Function Admitting Given Integrals”, Kiev, (1890), (in Russian).

    Google Scholar 

  22. Zadeh L.A., “Fuzzy Sets”, Inform. Control 8, 338–353 (1965).

    CrossRef  MathSciNet  MATH  Google Scholar 

  23. Diamond P., Kloeden P.E., “Metric Spaces of Fuzzy Sets”, Fuzzy Sets and Systems, vol. 35, 241–249 (1990).

    CrossRef  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1992 Springer-Verlag

About this paper

Cite this paper

Forte, B. (1992). Inverse problems in mathematics for industry. In: Capasso, V., Fasano, A. (eds) Mathematical Modelling of Industrial Processes. Lecture Notes in Mathematics, vol 1521. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0098366

Download citation

  • DOI: https://doi.org/10.1007/BFb0098366

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55595-7

  • Online ISBN: 978-3-540-47247-6

  • eBook Packages: Springer Book Archive