ISSN:
1573-2878
Keywords:
Stereology
;
statistics
;
packing problem
;
Abel integral equations
;
Volterra integral equations
;
numerical methods
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00933187
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