Filtering Complex Turbulent Systems
Autor Andrew J. Majda, John Harlimen Limba Engleză Hardback – 22 feb 2012
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Specificații
ISBN-13: 9781107016668
ISBN-10: 1107016665
Pagini: 368
Ilustrații: 145 b/w illus. 35 tables
Dimensiuni: 180 x 252 x 22 mm
Greutate: 0.82 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States
ISBN-10: 1107016665
Pagini: 368
Ilustrații: 145 b/w illus. 35 tables
Dimensiuni: 180 x 252 x 22 mm
Greutate: 0.82 kg
Ediția:New.
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States
Cuprins
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.
Notă biografică
Descriere
The authors develop a systematic applied mathematics perspective on the problems associated with filtering complex turbulent systems.