| Optimization of Weighted Monte Carlo Methods Softcover Repri Edition Contributor(s): Mikhailov, Gennadii A. (Author), Sabelfeld, Karl K. (Translator) |
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ISBN: 3642759831 ISBN-13: 9783642759833 Publisher: Springer OUR PRICE: $52.24 Product Type: Paperback Published: November 2011 |
| Additional Information |
| BISAC Categories: - Technology & Engineering | Engineering (general) - Science | Physics - Mathematical & Computational - Science | Earth Sciences - Meteorology & Climatology |
| Dewey: 519.282 |
| Series: Scientific Computation |
| Physical Information: 0.51" H x 6.14" W x 9.21" (0.76 lbs) 225 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The Monte Carlo method is based on the munerical realization of natural or artificial models of the phenomena under considerations. In contrast to classical computing methods the Monte Carlo efficiency depends weakly on the dimen- sion and geometric details of the problem. The method is used for solving complex problems of the radiation transfer theory, turbulent diffusion, chemi- cal kinetics, theory of rarefied gases, diffraction of waves on random surfaces, etc. The Monte Carlo method is especially effective when using multi-processor computing systems which allow many independent statistical experiments to be simulated simultaneously. The weighted Monte Carlo estimates are constructed in order to diminish errors and to obtain dependent estimates for the calculated functionals for different values of parameters of the problem, i.e., to improve the functional dependence. In addition, the weighted estimates make it possible to evaluate special functionals, for example, the derivatives with respect to the parameters. There are many works concerned with the development of the weighted estimates. In Chap. 1 we give the necessary information about these works and present a set of illustrations. The rest of the book is devoted to the solution of a series of mathematical problems related to the optimization of the weighted Monte Carlo estimates. |