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Stochastic equations[electronic resource] :theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics.Volume 1,Basic concepts, exact results, and asymptotic approximations /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.23
書名/作者:	Stochastic equations : theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics./ by Valery I. Klyatskin ; translated from Russian by A. Vinogradov.
其他題名:	Basic concepts, exact results, and asymptotic approximations
作者:	Klyatskin, Valery I.
其他作者:	Vinogradov, A.
出版者:	Cham : : Springer International Publishing :, 2015.
面頁冊數:	xx, 418 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Stochastic processes.
標題:	Stochastic differential equations.
標題:	Engineering.
標題:	Complexity.
標題:	Socio- and Econophysics, Population and Evolutionary Models.
標題:	Dynamical Systems and Ergodic Theory.
標題:	Engineering Fluid Dynamics.
ISBN:	9783319075877 (electronic bk.)
ISBN:	9783319075860 (paper)
內容註:	Dynamical description of stochastic systems -- Random quantities, processes, and fields -- Stochastic equations -- Asymptotic methods for analyzing stochastic equations.
摘要、提要註:	This monograph set presents a consistent and self-contained framework of stochastic dynamic systems with maximal possible completeness. Volume 1 presents the basic concepts, exact results, and asymptotic approximations of the theory of stochastic equations on the basis of the developed functional approach. This approach offers a possibility of both obtaining exact solutions to stochastic problems for a number of models of fluctuating parameters and constructing various asymptotic buildings. Ideas of statistical topography are used to discuss general issues of generating coherent structures from chaos with probability one, i.e., almost in every individual realization of random parameters. The general theory is illustrated with certain problems and applications of stochastic mathematical physics in various fields such as mechanics, hydrodynamics, magnetohydrodynamics, acoustics, optics, and radiophysics.
電子資源:	http://dx.doi.org/10.1007/978-3-319-07587-7

Stochastic equations[electronic resource] :theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics.Volume 1,Basic concepts, exact results, and asymptotic approximations /
Klyatskin, Valery I.

Stochastic equationstheory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics.Volume 1,Basic concepts, exact results, and asymptotic approximations /[electronic resource] :Basic concepts, exact results, and asymptotic approximationsby Valery I. Klyatskin ; translated from Russian by A. Vinogradov. - Cham :Springer International Publishing :2015. - xx, 418 p. :ill., digital ;24 cm. - Understanding complex systems,1860-0832. - Understanding complex systems..

Dynamical description of stochastic systems -- Random quantities, processes, and fields -- Stochastic equations -- Asymptotic methods for analyzing stochastic equations.

This monograph set presents a consistent and self-contained framework of stochastic dynamic systems with maximal possible completeness. Volume 1 presents the basic concepts, exact results, and asymptotic approximations of the theory of stochastic equations on the basis of the developed functional approach. This approach offers a possibility of both obtaining exact solutions to stochastic problems for a number of models of fluctuating parameters and constructing various asymptotic buildings. Ideas of statistical topography are used to discuss general issues of generating coherent structures from chaos with probability one, i.e., almost in every individual realization of random parameters. The general theory is illustrated with certain problems and applications of stochastic mathematical physics in various fields such as mechanics, hydrodynamics, magnetohydrodynamics, acoustics, optics, and radiophysics.

ISBN: 9783319075877 (electronic bk.)

Standard No.: 10.1007/978-3-319-07587-7doiSubjects--Topical Terms:

177592
Stochastic processes.

LC Class. No.: QA274

Dewey Class. No.: 519.23

Stochastic equations[electronic resource] :theory and applications in acoustics, hydrodynamics, magnetohydrodynamics, and radiophysics.Volume 1,Basic concepts, exact results, and asymptotic approximations /
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