Effective Dynamics of Stochastic Partial Differential Equations (inbunden)
Format
EPUB
Språk
Engelska
Antal sidor
282
Utgivningsdatum
2014-02-27
Förlag
Elsevier Science Publishing Co Inc
Medarbetare
Wang, Wei
Dimensioner
229 x 152 x 18 mm
Vikt
549 g
Antal komponenter
1
ISBN
9780128008829

Effective Dynamics of Stochastic Partial Differential Equations

EPUB,  Engelska, 2014-02-27
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Finns även som
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.

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"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

Övrig information

Illinois Institute of Technology, Chicago IL

Innehållsförteckning

1. Introduction2. Deterministic Partial Differential Equations3. Stochastic Tools in Hilbert Space4. Stochastic Partial Differential Equations 5. Stochastic Averaging Principles6. Slow Manifold Reduction7. Stochastic Homogenization