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Filtering Complex Turbulent Systems

Publisher: 
Cambridge University Press
Number of Pages: 
357
Price: 
115.00
ISBN: 
9781107016668
Date Received: 
Thursday, July 5, 2007
Reviewable: 
Include In BLL Rating: 
Reviewer Email Address: 
Andrew J. Majda and John Harlim
Publication Date: 
2012
Format: 
Hardcover
Category: 
Textbook

Preface
1. Introduction and overview: mathematical strategies for filtering turbulent systems
Part I. Fundamentals: 2. Filtering a stochastic complex scalar: the prototype test problem
3. The Kalman filter for vector systems: reduced filters and a three-dimensional toy model
4. Continuous and discrete Fourier series and numerical discretization
Part II. Mathematical Guidelines for Filtering Turbulent Signals: 5. Stochastic models for turbulence
6. Filtering turbulent signals: plentiful observations
7. Filtering turbulent signals: regularly spaced sparse observations
8. Filtering linear stochastic PDE models with instability and model error
Part III. Filtering Turbulent Nonlinear Dynamical Systems: 9. Strategies for filtering nonlinear systems
10. Filtering prototype nonlinear slow-fast systems
11. Filtering turbulent nonlinear dynamical systems by finite ensemble methods
12. Filtering turbulent nonlinear dynamical systems by linear stochastic models
13. Stochastic parameterized extended Kalman filter for filtering turbulent signal with model error
14. Filtering turbulent tracers from partial observations: an exactly solvable test model
15. The search for efficient skilful particle filters for high dimensional turbulent dynamical systems
References
Index.

Publish Book: 
Modify Date: 
Tuesday, October 2, 2012

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