An Introduction to Probabilistic Methods with Applications
نویسندگان
چکیده
This special volume of the ESAIM Journal, Mathematical Modelling and Numerical Analysis, contains a collection of articles on probabilistic interpretations of some classes of nonlinear integrodifferential equations. The selected contributions deal with a wide range of topics in applied probability theory and stochastic analysis, with applications in a variety of scientific disciplines, including physics, biology, fluid mechanics, molecular chemistry, financial mathematics and bayesian statistics. In this preface, we provide a brief presentation of the main contributions presented in this special volume. We have also included an introduction to classic probabilistic methods and a presentation of the more recent particle methods, with a synthetic picture of their mathematical foundations and their range of applications. Mathematics Subject Classification. 65M75, 68Q87, 60H35, 35Q68, 37N10, 35Q35, 35Q20. Received January 2nd, 2009. Published online August 26, 2010.
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تاریخ انتشار 2010