| 书目名称 | Stochastic Tools in Mathematics and Science | | 编辑 | Alexandre Chorin,Ole H. Hald | | 视频video | | | 概述 | Exercises are included at the end of each chapter.An unusual feature of the book is its treatment of the effect of temporal correlations.Ideas are presented within a clean, clear, and systematic frame | | 丛书名称 | Surveys and Tutorials in the Applied Mathematical Sciences | | 图书封面 |  | | 描述 | .Stochastic Tools in Mathematics and Science is an introductory book on probability-based modeling. It covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. The topics covered include conditional expectations, stochastic processes, Brownian motion and its relation to partial differential equations, Langevin equations, the Liouville and Fokker-Planck equations, as well as Markov chain Monte Carlo algorithms, renormalization and dimensional reduction, and basic equilibrium and non-equilibrium statistical mechanics. The applications include data assimilation, prediction from partial data, spectral analysis, and turbulence. A noteworthy feature of the book is the systematic analysis of memory effects. The presentation is mathematically attractive, and should form a useful bridge between the theoretical treatments familiar to mathematical specialists and the more practical questions raised by specific applications...The book is based on lecture notes from a class that has attracted graduate and advanced undergraduate students from mathematics and from many other science departments at the University of California, Berkeley. Each chapter is followed | | 出版日期 | Textbook 20092nd edition | | 关键词 | Brownian motion; Chorin; Fokker-Planck equation; Markov chain; Mathematics; Science; Stochastic; Stochastic | | 版次 | 2 | | doi | https://doi.org/10.1007/978-1-4419-1002-8 | | isbn_ebook | 978-1-4419-1002-8Series ISSN 2199-4765 Series E-ISSN 2199-4773 | | issn_series | 2199-4765 | | copyright | Springer-Verlag New York 2009 |
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发表于 2025-3-21 18:59:32
