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Applications of Integral Equations in Particle-Size Statistics

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Book cover Solution Methods for Integral Equations

Part of the book series: Mathematical Concepts and Methods in Science and Engineering ((MCSENG,volume 18))

Abstract

We discuss the application of integral equations techniques to two broad areas of particle statistics, namely, stereology and packing. Problems in stereology lead to the inversion of Abel-type integral equations; and we present a brief survey of existing methods, analytical and numerical, for doing this. Packing problems lead to Volterra equations which, in simple cases, can be solved exactly and, in other cases, need to be solved numerically. Methods for doing this are presented along with some numerical results.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Nevada at Las Vegas, Las Vegas, Nevada, USA

    A. Goldman (Professor)

  2. T-11, Theoretical Division, Los Alamos Scientific Laboratory, Los Alamos, New Mexico, USA

    W. Visscher (Staff Member)

Authors
  1. A. Goldman
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  2. W. Visscher
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Nevada at Las Vegas, Las Vegas, Nevada, USA

    Michael A. Golberg

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© 1979 Springer Science+Business Media New York

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Goldman, A., Visscher, W. (1979). Applications of Integral Equations in Particle-Size Statistics. In: Golberg, M.A. (eds) Solution Methods for Integral Equations. Mathematical Concepts and Methods in Science and Engineering, vol 18. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-1466-1_6

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  • DOI: https://doi.org/10.1007/978-1-4757-1466-1_6

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4757-1468-5

  • Online ISBN: 978-1-4757-1466-1

  • eBook Packages: Springer Book Archive

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