Bibliographie

1

L. Amodei.
Solution approchée pour un problème d'assimilation de données météorologiques avec prise en compte de l'erreur modèle.
C.R. Acad. Sci. Paris, t. 321, série II: 1087-1094, 1995.

2

E. Andersson.
The ecmwf implementation of the three-dimensional variational assimilation (3d-var), iii: Experimental results.
Q. J. R. Meteorol. Soc., 124: 1831-1860, 1998.

3

R.A. Anthes.
Data assimilation and initialization of hurricane prediction models.
J. Atmos. Sci., 31: 702-719, 1974.

4

A.F. Bennett.
Inverse methods in physical oceanography.
Cambridge University Press, Cambridge, 1992.

5

A.F. Bennett.
Inverse Modeling of the Ocean and Atmosphere.
Cambridge University Press, Cambridge, 2002.

6

L. Bourgeois.
Contrôle optimal et problèmes inverses en plasticité.
Thèse de l'Ecole Polytechnique, 1998.

7

C.G. Broyden.
A new double-rank minimization algorithm.
Notices American Math. Soc., 16: 670, 1969.

8

M.A. Cane, A. Kaplan, R.N. Miller, B. Tang, E.C. Hackert, and A.J. Busalacchi.
Mapping tropical pacific sea level: data assimilation via a reduced state kalman filter.
J. Geophys. Res., 101 (C10): 22599-22617, 1996.

9

P. Courtier.
Dual formulation of four-dimensional variational assimilation.
Q. J. R. Meteorol. Soc., 123: 2449-2461, 1997.

10

P. Courtier, E. Andersson, W. Heckley, J. Pailleux, D. Vasiljevic, M. Hamrud, A. Hollingsworth, Rabier F., and M. Fisher.
The ecmwf implementation of the three-dimensional variational assimilation (3d-var), i: Formulation.
Q. J. R. Meteorol. Soc., 124: 1783-1807, 1998.

11

P. Courtier, J.N. Thépaut, and A. Hollingsworth.
A strategy for operational implementation of 4d-var using an incremental approach.
Q. J. R. Meteorol. Soc., 120: 1367-1387, 1994.

12

P. De Mey and A.R. Robinson.
Assimilation of altimeter eddy fields in a limited-area quasi-geostrophic model.
J. Phys. Oceanogr., 17: 365-384, 1991.

13

J.E. Dennis and J.J. Moré.
Quasi-newton methods, motivation and theory.
Siam Rev., 19: 46-89, 1977.

14

I. Fukumori.
Assimilation of topex sea level measurements with a reduced-gravity, shallow water model of the tropical pacific ocean.
J. Geophys. Res., 100 (C12): 25027-25039, 1995.

15

I. Fukumori, J. Benveniste, C. Wunsch, and D.B. Haidvogel.
Assimilation of sea surface topography into an ocean circulation model using a steady state smoother.
J. Phys. Oceanogr., 23: 1831-1855, 1993.

16

A. Gelb.
Applied Optimal Estimation.
MA: MIT Press, Cambridge, 1974.

17

M. Ghil.
Meteorological data assimilation for oceanographers. part i: description and theoretical framework.
Dyn. Atmos. Oceans, 13:171-218, 1989.

18

M. Ghil and P. Manalotte-Rizzoli.
Data assimilation in meteorology and oceanography.
Adv. Geophys., 23:141-265, 1991.

19

J.Ch. Gilbert and C. Lemaréchal.
Some numerical experiments with variable storage quasi-newton algorithms.
Math. Prog., 45: 407-435, 1989.

20

L. Gourdeau, S. Arnault, Y. Ménard, and J. Merle.
Geosat sea-level assimilation in a tropical atlantic model using kalman filter.
Ocean. Acta, 15: 567-574, 1992.

21

W.R. Holland.
The role of mesoscale eddies in the general circulation of the ocean.
J. Phys. Ocean., 8-3: 363-392, 1978.

22

A.H. Jazwinski.
Stochastic Processes and Filtering Theory.
Academic, New York, 1970.

23

M.V. Klibanov and F. Santosa.
A computational quasi-reversibility method for cauchy problems for laplace's equation.
SIAM J. Appl. Math., 51(6): 1653-1675, 1991.

24

R. Lattès and J.L. Lions.
Méthode de quasi-réversibilité et applications.
Dunod, Paris, 1967.

25

F.X. Le Dimet and O. Talagrand.
Variational algorithms for analysis and assimilation of meteorological observations : theoretical aspects.
Tellus, 38A: 97-110, 1986.

26

R.B. Lehoucq, D.C. Sorensen, and C. Yang.
Arpack user's guide : solution of large-scale eigenvalue problems with implicit restarted arnoldi methods.
http://www.caam.rice.edu/software/ARPACK/, 1997.

27

J.M. Lewis and J.C. Derber.
The use of adjoint equations to solve a variational adjustment problem with convective constraints.
Tellus, 37A: 309-322, 1985.

28

J.L. Lions.
Equations différentielles opérationnelles et problèmes aux limites.
Springer-Verlag, Berlin, 1961.

29

J.L. Lions.
Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles.
Dunod, Paris, 1968.

30

D.C. Liu and J. Nocedal.
On the limited memory bfgs method for large scale optimization.
Math. Prog., 45: 503-528, 1989.

31

A.C. Lorenc, R.S. Bell, and B. Macpherson.
The meteorological office analysis correction data assimilation scheme.
Q. J. R. Meteorol. Soc., 117: 59-89, 1991.

32

S. Louvel.
Etude d'un algorithme d'assimilation variationnelle de données à contrainte faible. mise en uvre sur le modèle océanique aux équations primitives micom.
Thèse de l'Université Paul Sabatier, 1999.

33

S. Louvel.
Implementation of a dual variational algorithm for assimilation of synthetic altimeter data in the oceanic primitive equation model micom.
J. Geophys. Res., 106: 9199-9212, 2001.

34

B. Luong.
Techniques de contrôle optimal pour un modèle quasi-géostrophique de circulation océanique. application à l'assimilation variationnelle des données altimétriques satellitaires.
Thèse de l'Université Joseph Fourier Grenoble 1, 1995.

35

B. Luong, J. Blum, and J. Verron.
A variational method for the resolution of a data assimilation problem in oceanography.
Inverse Problems, 14: 979-997, 1998.

36

C. Maes, M. Benkiran, and P. De Mey.
Sea level comparison between topex/poseidon altimetric data and a global ocean circulation model from an assimilation perspective.
J. Geophys. Res., 104: 15575-15585, 1999.

37

A.M. Moore.
Data assimilation in a quasigeostrophic open-ocean model of the gulf-stream region using the adjoint model.
J. Phys. Oceanogr., 21: 398-427, 1991.

38

V. Nechaev and M.I. Yaremchuk.
Application of the adjoint technique to processing of a standard section data set: world ocean circulation experiment section s4 along 67^&cir#circ;s in the pacific ocean.
J. Geophys. Res., 100 (C1): 865-879, 1994.

39

J. Nocedal.
Updating quasi-newton matrices with limited-storage.
Math. Comput., 35: 773-782, 1980.

40

J. Pedlosky.
Geophysical fluid dynamics.
Springer-Verlag, New-York, 1979.

41

D.T. Pham, J. Verron, and M.C. Roubaud.
A singular evolutive extended kalman filter for data assimilation in oceanography.
Inverse Problems, 14: 979-997, 1998.

42

N.A. Phillips.
On the completeness of a multi-variate optimum interpolation for large-scale meteorological analysis.
Monthly Weather Review, 110: 1329-1334, 1982.

43

E. Polak.
Optimization - Algorithms and Consistent Approximations.
Springer-Verlag, New-York, 1997.

44

F. Rabier, A. McNally, E. Andersson, P. Courtier, P. Unden, A. Hollingsworth, and F. Bouttier.
The ecmwf implementation of the three-dimensional variational assimilation (3d-var), ii: Structure functions.
Q. J. R. Meteorol. Soc., 124: 1809-1829, 1998.

45

J. Schroter, U. Seiler, and M. Wenzel.
Variational assimilation of geosat data into an eddy-resolving model of the gulf stream area.
J. Phys. Oceanogr., 23: 925-953, 1993.

46

J. Sheinbaum and D.L.T. Anderson.
Variational assimilation of xbt data. part i.
J. Phys. Oceanogr., 20: 672-688, 1990.

47

O. Talagrand.
Variational assimilation - adjoint equations.
Data Assimilation for the Earth System, Proceedings, Advanced Study Institute (NATO), Acquafredda di Maratea, Italy, May-June 2002, Kluwer Academic Publishers, 2003.

48

O. Talagrand and P. Courtier.
Variational assimilation of meteorological observations with the adjoint vorticity equation. part i: Theory.
Q. J. R. Meteorol. Soc., 113: 1311-1328, 1987.

49

W.C. Thacker and R.B. Long.
Fitting dynamics to data.
J. Geophys. Res., 93: 1227-1240, 1988.

50

F. Veersé and D. Auroux.
Some numerical experiments on scaling and updating l-bfgs dianogal preconditioners.
INRIA Research Report, 3858: 1-25, 2000.

51

F. Veersé, D. Auroux, and M. Fisher.
Limited-memory bfgs diagonal preconditioners for a data assimilation problem in meteorology.
Optimization and Engineering, 1 (3): 323-339, 2000.

52

J. Verron, L. Gourdeau, D.T. Pham, R. Murtugudde, and A.J. Busalacchi.
An extended kalman filter to assimilate satellite altimeter data into a non-linear numerical model of the tropical pacific ocean: method and validation.
J. Geophys. Res., 104: 5441-5458, 1999.

53

P.A. Vidard.
Vers une prise en compte des erreurs modèle en assimilation de données 4d-variationnelle. application à un modèle réaliste d'océan.
Thèse de l'Université Joseph Fourier Grenoble 1, 2001.

54

P. Wolfe.
Convergence conditions for ascent methods.
SIAM Rev., 11/2: 226-235, 1969.

55

M. Zhu, J.L. Nazareth, and H. Wolkowicz.
The quasi-cauchy relation and diagonal updating.
SIAM J. Optim., 9: 1192-1204, 1999.

56

X. Zou, I.M. Navon, and F.X. Le Dimet.
An optimal nudging data assimilation scheme using parameter estimation.
Q. J. R. Meteorol. Soc., 118: 1163-1186, 1992.