RecordNumber
851
Author
Chorin, Alexandre Joel
Title
Stochastic tools in mathematics and science
Author Statement
Alexandre J. Chorin, Ole H. Hald
Publication
Springer
Publication Year
c2006
Collation
viii, 147 p.: 24 cm
Series
Surveys and tutorials in the applied mathematical sciences ;1
Index
ng
Biblography
Includes bibliographical references and index
Subject
Stochastic processes
ADDED ENTRIES
Hald, Ole H
LC Class
QA
LC Number
274
LC CutterNumber
.C456
LC Date
2006
تاريخ ورود اطلاعات
02/20/6831
DocumentNumber
860
Contents
This introductory book on probability-based modeling covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. The topics 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.