Applications of integral equations in particle-size statistics

Journal of Optimization Theory and Applications - Tập 24 - Trang 207-220 - 1978
A. Goldman1, W. Visscher2
1Department of Mathematics, University of Nevada at Las Vegas, Las Vegas
2T-11, Theoretical Division, Los Alamos Scientific Laboratory, Los Alamos

Tóm tắt

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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Thông tin xuất bản

Journal of Optimization Theory and Applications

Tập 24

207-220

Thông tin tác giả