Applications of integral equations in particle-size statistics |
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| Authors: | A Goldman W Visscher |
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| Institution: | (1) Department of Mathematics, University of Nevada at Las Vegas, Las Vegas, Nevada;(2) T-11, Theoretical Division, Los Alamos Scientific Laboratory, Los Alamos, New Mexico |
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| 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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| Keywords: | Stereology statistics packing problem Abel integral equations Volterra integral equations numerical methods |
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