Effective Dynamics of Stochastic Partial Differential Equations

Author:   Jinqiao Duan (Illinois Institute of Technology, Chicago IL) ,  Wei Wang (Nanjing University, Nanjing, PR China.)
Publisher:   Elsevier Science Publishing Co Inc
ISBN:  

9780128008829


Pages:   282
Publication Date:   27 February 2014
Format:   Hardback
Availability:   Manufactured on demand   Availability explained
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Effective Dynamics of Stochastic Partial Differential Equations


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Overview

Effective Dynamics of Stochastic Partial Differential Equations focuses on stochastic partial differential equations with slow and fast time scales, or large and small spatial scales. The authors have developed basic techniques, such as averaging, slow manifolds, and homogenization, to extract effective dynamics from these stochastic partial differential equations. The authors’ experience both as researchers and teachers enable them to convert current research on extracting effective dynamics of stochastic partial differential equations into concise and comprehensive chapters. The book helps readers by providing an accessible introduction to probability tools in Hilbert space and basics of stochastic partial differential equations. Each chapter also includes exercises and problems to enhance comprehension.

Full Product Details

Author:   Jinqiao Duan (Illinois Institute of Technology, Chicago IL) ,  Wei Wang (Nanjing University, Nanjing, PR China.)
Publisher:   Elsevier Science Publishing Co Inc
Imprint:   Elsevier Science Publishing Co Inc
Dimensions:   Width: 15.10cm , Height: 1.80cm , Length: 22.90cm
Weight:   0.540kg
ISBN:  

9780128008829


ISBN 10:   0128008822
Pages:   282
Publication Date:   27 February 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1. Introduction 2. Deterministic Partial Differential Equations 3. Stochastic Tools in Hilbert Space 4. Stochastic Partial Differential Equations  5. Stochastic Averaging Principles 6. Slow Manifold Reduction 7. Stochastic Homogenization

Reviews

Graduate students as well as researchers who have a solid background in SPDEs and are interested in undertaking research in the direction of averaging or homogenization of SPDEs can start their adventure and journey from the book... --MathSciNet, Effective Dynamics of Stochastic Partial Differential Equations


Graduate students as well as researchers who have a solid background in SPDEs and are interested in undertaking research in the direction of averaging or homogenization of SPDEs can start their adventure and journey from the book. --MathSciNet, Effective Dynamics of Stochastic Partial Differential Equations


"""Graduate students as well as researchers who have a solid background in SPDEs and are interested in undertaking research in the direction of averaging or homogenization of SPDEs can start their adventure and journey from the book…"" --MathSciNet"


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Illinois Institute of Technology, Chicago IL

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