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Titlebook: Probability and Partial Differential Equations in Modern Applied Mathematics; Edward C. Waymire,Jinqiao Duan Book 2005 Springer-Verlag New

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书目名称Probability and Partial Differential Equations in Modern Applied Mathematics
编辑Edward C. Waymire,Jinqiao Duan
视频video
概述Original contributions by researchers with a common interest in the problems, but.with diverse mathematical expertise and perspective
丛书名称The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: Probability and Partial Differential Equations in Modern Applied Mathematics;  Edward C. Waymire,Jinqiao Duan Book 2005 Springer-Verlag New
描述."Probability and Partial Differential Equations in Modern Applied Mathematics" is devoted to the role of probabilistic methods in modern applied mathematics from the perspectives of both a tool for analysis and as a tool in modeling. There is a recognition in the applied mathematics research community that stochastic methods are playing an increasingly prominent role in the formulation and analysis of diverse problems of contemporary interest in the sciences and engineering. A probabilistic representation of solutions to partial differential equations that arise as deterministic models allows one to exploit the power of stochastic calculus and probabilistic limit theory in the analysis of deterministic problems, as well as to offer new perspectives on the phenomena for modeling purposes. There is also a growing appreciation of the role for the inclusion of stochastic effects in the modeling of complex systems. This has led to interesting new mathematical problems at the interface of probability, dynamical systems, numerical analysis, and partial differential equations...This volume will be useful to researchers and graduate students interested in probabilistic methods, dynamical s
出版日期Book 2005
关键词Markov; Markov chain; Stochas; Stochastic calculus; calculus; differential equation; dynamical systems; dyn
版次1
doihttps://doi.org/10.1007/978-0-387-29371-4
isbn_softcover978-1-4419-2071-3
isbn_ebook978-0-387-29371-4Series ISSN 0940-6573 Series E-ISSN 2198-3224
issn_series 0940-6573
copyrightSpringer-Verlag New York 2005
The information of publication is updating

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A Gentle Introduction to Cluster Expansions,ence measure . a combinatorial exponential of cluster coefficients. This is an elementary exposition of how the analysis of a discrete gas system in equilibrium can be used to obtain estimates on the expansion in cluster coefficients. The main topic is an analysis of the Mayer equations for the gas system that makes no use of graph combinatorics.
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Inertial Manifolds for Random Differential Equations,lso suppose that the linear part of such an evolution equation contains random operators. To deal with these objects we apply th e multiplicative ergodic theorem. The key assumption for the existence of an inertial manifold is an ω-wise gap condition.
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Book 2005ematics from the perspectives of both a tool for analysis and as a tool in modeling. There is a recognition in the applied mathematics research community that stochastic methods are playing an increasingly prominent role in the formulation and analysis of diverse problems of contemporary interest in
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Probability and Partial Differential Equations in Modern Applied Mathematics
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