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: http://num-meth.srcc.msu.ru/english/zhurnal/tom_2012/v13r108.html
Дата изменения: Tue Jan 10 16:15:00 2012 Дата индексирования: Mon Oct 1 22:57:51 2012 Кодировка: ISO8859-5 |
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"A method of restoring the restoring aerosol particle size distribution function
on the set of piecewise-convex functions" Wang Y., Zhang Y., Luk'yanenko D.V., Yagola A.G. |
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The problem of restoring the aerosol particle size distribution function with the use of the measured particle extinction spectrum is considered. This problem is reduced to a Fredholm integral equation of the first-kind. The conjugate gradient method with the projection on a constraint set is applied as a minimization process of the residual functional. The constraints are chosen as piecewise-convex functions on the basis of physical features of the sought solution. An efficient scheme of regularization for the problems of such a type is proposed. This work was partially supported by the Russian Foundation for Basic Research (projects \nos. 11-01-00040 and 10-01-91150-NFSC). Keywords: aerosol particle size distribution function, Fredholm integral equations of the first-kind, conjugate gradient projection method, piecewise-convex functions
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Wang Y. e-mail: yfwang@mail.iggcas.ac.cn;
Zhang Y. e-mail: zhangye@physics.msu.ru; Luk'yanenko D.V. e-mail: lukyanenko@physics.msu.ru; Yagola A.G. e-mail: yagola@physics.msu.ru |