A simple inversion method for determining aerosol size distributions

Details A simple inversion method for determining aerosol size distributions A simple inversion method for determining aerosol size distributions

Oct 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983jcoph..52...80k&link_type=abstract

Journal of Computational Physics (ISSN 0021-9991), vol. 52, Oct. 1983, p. 80-104.

Mathematics

1

Aerosols, Inversions, Particle Size Distribution, Extinction, Functions (Mathematics), Integral Equations

Scientific paper

The method gives a solution that can be represented as a linear combination of a few log-normal functions. The restriction to log-normal functions is not crucial, however; other families of functions, for example, gamma functions or 'rectangular' functions, can also be used. In summarizing the advantages of the method, it is noted that it does not require a good initial guess. What is more, the method is quite robust in that there are seldom any numerical instabilities. Since it is quite fast, it can be used for large series of data. And since the method does not depend explicitly on the special analytic form of the kernel K(lamdba, r), it is possible that the method is suitable for other problems as well.

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