Dynamic data assimilation [[electronic resource] /] : a least squares approach / / John M. Lewis, S. Lakshmivarahan, Sudarshan Dhall
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| Autore: |
Lewis J. M
|
| Titolo: |
Dynamic data assimilation [[electronic resource] /] : a least squares approach / / John M. Lewis, S. Lakshmivarahan, Sudarshan Dhall
|
| Pubblicazione: | Cambridge, : Cambridge University Press, 2006 |
| Descrizione fisica: | 1 online resource (xxii, 654p. ) : ill., map |
| Disciplina: | 511.8 |
| Soggetto topico: | Simulation methods |
| Mathematical models | |
| Soggetto genere / forma: | Electronic books. |
| Altri autori: |
LakshmivarahanS
DhallSudarshan Kumar <1937->
|
| Note generali: | Formerly CIP. |
| Nota di bibliografia: | Includes bibliographical references and index. |
| Nota di contenuto: | 1. Synopsis; 2. Pathways into data assimilation: illustrative examples; 3. Applications; 4. Brief history of data assimilation; 5. Linear least squares estimation: method of normal equations; 6. A geometric view: projection and invariance; 7. Nonlinear least squares estimation; 8. Recursive least squares estimation; 9. Matrix methods; 10. Optimisation: steepest descent method; 11. Conjugate direction/gradient methods; 12. Newton and quasi-Newton methods; 13. Principles of statistical estimation; 14. Statistical least squares estimation; 15. Maximum likelihood method; 16. Bayesian estimation method; 17. From Gauss to Kalman: sequential, linear minimum variance estimation; 18. Data assimilation-static models: concepts and formulation; 19. Classical algorithms for data assimilation; 20. 3DVAR - a Bayesian formulation; 21. Spatial digital filters; 22. Dynamical data assimilation: the straight line problem; 23. First-order adjoint method: linear dynamics; 24. First-order adjoint method: nonlinear dynamics; 25. Second-order adjoint method; 26. The ADVAR problem: a statistical and a recursive view; 27. Linear filtering - Part I: Kalman filter; 28. Linear filtering-part II; 29. Nonlinear filtering; 30. Reduced rank filters; 31. Predictability: a stochastic view; 32. Predictability: a deterministic view; Bibliography; Index. |
| Sommario/riassunto: | Dynamic data assimilation is the assessment, combination and synthesis of observational data, scientific laws and mathematical models to make predictions about how a complex physical system will behave. |
| Altri titoli varianti: | Dynamic data assimilation |
| Titolo autorizzato: | Dynamic data assimilation |
| ISBN: | 0-511-88998-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910741394303321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Encyclopedia of mathematics and its applications ; ; 104.