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Stochastic Partial Differential Equations

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Stochastic Partial Differential Equations Cover

ISBN13: 9781584884439
ISBN10: 1584884436
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Synopses & Reviews

Publisher Comments:

The book concludes by pointing out the connection of stochastic PDEs to infinite-dimensional stochastic analysis. By thoroughly covering the concepts and applications of stochastic PDEs at an introductory level, this text provides a guide to current research topics and lays the groundwork for further study.

Book News Annotation:

Although this field is fairly new, that of partial differential equations (PDEs) is surely not. Likely the freshness of the discipline and its association with great interest still in PDEs will result in more work, and this will definitely help undergraduates enter the field. With applications, examples and accessible text this covers such background material as Brownian motions and Martingales, stochastic integrals and stochastic differential equations, then moves to scalar equations of first order, stochastic parabolic equations, stochastic parabolic equations in the whole space, stochastic hyperbolic equations, stochastic evolution equations in Hilbert spaces, asymptotic behaviors of solutions, further applications such as random Schrödinger equations and nonlinear stochastic beam equations and diffusion equations in infinite dimensions. The references chosen will be particularly helpful for those ready to do more in this field. Annotation ©2007 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

As a relatively new area in mathematics, stochastic partial differential equations (PDEs) are still at a tender age and have not yet received much attention in the mathematical community. Filling the void of an introductory text in the field, Stochastic Partial Differential Equations introduces PDEs to students familiar with basic probability theory and It 's equations, highlighting several computational and analytical techniques.

Without assuming specific knowledge of PDEs, the text includes many challenging problems in stochastic analysis and treats stochastic PDEs in a practical way. The author first brings the subject back to its root in classical concrete problems. He then discusses a unified theory of stochastic evolution equations and describes a few applied problems, including the random vibration of a nonlinear elastic beam and invariant measures for stochastic Navier-Stokes equations. The book concludes by pointing out the connection of stochastic PDEs to infinite-dimensional stochastic analysis.

By thoroughly covering the concepts and applications of stochastic PDEs at an introductory level, this text provides a guide to current research topics and lays the groundwork for further study.

Synopsis:

Filling the void of an introductory text in the field, this book highlights several computational and analytical techniques involved in stochastic PDEs. It includes many challenging problems in stochastic analysis and treats stochastic PDEs in a practical way. The author first brings the subject back to its root in classical concrete problems. He then discusses a unified theory of stochastic evolution equations and describes a few applied problems, including the random vibration of a nonlinear elastic beam and invariant measures for stochastic Navier-Stokes equations. The book concludes by pointing out the connection of stochastic PDEs to infinite-dimensional stochastic analysis.

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zhaoxiaokui, July 5, 2012 (view all comments by zhaoxiaokui)
It's very usefull
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Product Details

ISBN:
9781584884439
Author:
Chow, Pao-liu
Publisher:
Chapman & Hall/CRC
Author:
Chow, P. L.
Author:
Chow, Pao-Liu
Author:
Chow, Chow
Subject:
Differential Equations - Partial Differential Equations
Subject:
Stochastic partial differential equations
Subject:
General-General
Series:
Chapman & Hall/CRC Applied Mathematics and Nonlinear Science
Publication Date:
20061231
Binding:
Hardcover
Language:
English
Illustrations:
Y
Pages:
281
Dimensions:
9.54x6.39x.84 in. 1.21 lbs.

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Stochastic Partial Differential Equations New Hardcover
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Product details 281 pages Chapman & Hall/CRC - English 9781584884439 Reviews:
"Synopsis" by , As a relatively new area in mathematics, stochastic partial differential equations (PDEs) are still at a tender age and have not yet received much attention in the mathematical community. Filling the void of an introductory text in the field, Stochastic Partial Differential Equations introduces PDEs to students familiar with basic probability theory and It 's equations, highlighting several computational and analytical techniques.

Without assuming specific knowledge of PDEs, the text includes many challenging problems in stochastic analysis and treats stochastic PDEs in a practical way. The author first brings the subject back to its root in classical concrete problems. He then discusses a unified theory of stochastic evolution equations and describes a few applied problems, including the random vibration of a nonlinear elastic beam and invariant measures for stochastic Navier-Stokes equations. The book concludes by pointing out the connection of stochastic PDEs to infinite-dimensional stochastic analysis.

By thoroughly covering the concepts and applications of stochastic PDEs at an introductory level, this text provides a guide to current research topics and lays the groundwork for further study.

"Synopsis" by , Filling the void of an introductory text in the field, this book highlights several computational and analytical techniques involved in stochastic PDEs. It includes many challenging problems in stochastic analysis and treats stochastic PDEs in a practical way. The author first brings the subject back to its root in classical concrete problems. He then discusses a unified theory of stochastic evolution equations and describes a few applied problems, including the random vibration of a nonlinear elastic beam and invariant measures for stochastic Navier-Stokes equations. The book concludes by pointing out the connection of stochastic PDEs to infinite-dimensional stochastic analysis.
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