Filtering complex turbulent systems / Andrew J. Majda, John Harlim.

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Bibliographic Details
Main Author:	Majda, Andrew, 1949-
Other Authors:	Harlim, John
Format:	eBook
Language:	English
Published:	Cambridge ; New York : Cambridge University Press, 2012.
Subjects:	Filters and filtration > Mathematics. Turbulence. Numerical analysis. SCIENCE > Chemistry > Industrial & Technical. TECHNOLOGY & ENGINEERING > Chemical & Biochemical. Análisis numérico Turbulencias Numerical analysis Turbulence
Online Access:	Click for online access

Table of Contents:

1. Introduction and overview: mathematical strategies for filtering turbulent systems
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
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
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 parametrized extended Kalman filter for filtering turbulent signals with model error
14. Filtering turbulent tracers from partial observations: an exactly solvable test model
15. The search for efficient skillful particle filters for high-dimensional turbulent dynamical systems.

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