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Filtering complex turbulent systems /
The authors develop a systematic applied mathematics perspective on the problems associated with filtering complex turbulent systems.
| Call Number: | Libro Electrónico |
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| Main Author: | |
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | Inglés |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2012.
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| Subjects: | |
| Online Access: | Texto completo |
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.