References
-
Alekseev
, K. Q.and Navon, I. M.. The analysis of an ill posed problem using multiscale resolution and second order adjoint techniques. Comput. Meth. AppL Mechan. Eng. 190, 15-17; 1937– 1953. -
Adcroft
, A.and Marshall, D.. How slippery are piecewise-constant coastlines in numerical ocean models. Tellus, 95– 108. -
Cohn
, S. E.. An Introduction to Estimation Theory. 75, 1B, 257- 288. -
Courtier
, P.. Dual formulation of four dimensional vari-ational assimilation. Q. J. R. MeteoroL Soc. 123, 2449– 2462. -
Derber
, J. . A variational continuous assimilation technique. Mon. Wea. Rev. 117, 117– 2446. -
Derber
, J. and Bouttier, F.. A reformulation of the background error covariance in the ECMWF global data assimilation system. Tellus 51A, 195– 221. -
Gilbert
, J.-C.and Lemarechal, C.. Some numerical experiment with variable storage quasi-Newton algory-thms. Math. Prog. B, 407– 435. -
Griffith
, A. K.and Nichols, N. K.. Adjoint techniques in data assimilation for estimating model error. J. Flow, Turbulence Combust. 65, 469– 488. -
Ide
, K., Courtier, P., Ghill, M.and Lorene, A. C.. Unified notation for data assimilation: operational, sequential and variational. J. Meterol. Soc. Jpn. 75-B, 181– 189. -
Jazwinslci
, A. H.. Stochastic processes and filtering theory . Academic Press, New York. -
Kalman
, R. E.. A new approach to linear filtering and prediction problems. 35– 45, (March 1960). -
Krishnamurti
, T. N., Jishan, X., Bedi, H. S., Ingles, K.and Oosterhof, D.. Physical initialization for numerical weather prediction over the tropics. Tellus, 53– 81. -
Le Dimet
, E-X.and Charpentier, I.. Methodes du second ordre en assimilation de donnees . In: Equations mac dérivées partielles et applications. Gauthier-Vilars, Paris, 107– 125. -
Lellouche
, J.-M., Devenon, J.-L.and Dekeyser, I.. Boundary control of Burger’s equation. A numerical approach. Comput. Math. AppL, 33– 44. -
Li
, Z.and Navon, I. M.. Optimality of variational data assimilation and its relationship with the Kalman filter and smoother. Q. J. R. MeteoroL Soc. 127B, 661– 684. -
Lorene
, A. C.. Analysis methods for numerical weather prediction. Q. J. R. MeteoroL Soc. 112, 1177– 1194. -
Lorene
, A. C., Bell, R. S.and Macpherson, B.. The Meteorological Office analysis correction data assimilation scheme. Q. J. R. MeteoroL Soc. 117, 59– 89. -
Lyne
, W. H., Swinbanlc, R.and Birch, N. T.. A data assimilation experiment and the global circulation during the FGGE special observing periods. Q. J. R. MeteoroL Soc. 108, 108– 594. -
M´enard
, R.. Kalman filtering of Burger’s equation and its application to atmospheric data assimilation. Ph.D. The-sis, McGill University , Montreal, Canada. -
Navon
, I. M.. Practical and theoretical aspects of adjoint parameter estimation and identifiability in meteorology and oceanography. Dynam. Atmos. Oceans. 27, 55– 79. -
Piacentini
, A.and PALM. PALM: A modular data assimilation system.. WMO/TD-986, 321- 323. -
Rabier
, F.and Courtier, P.. Four-dimensional assimilation in presence of baroclinic instability. Q. J. R. MeteoroL Soc. 118, 649– 672. -
Thepaut
, J. N.and Moll, P.. Variational Inversion of simulated TOVS radiances using the adjoint technique. Quart. J. R. MeteoroL Soc. 116, 1425– 1448. -
Tilchonov
, A. V.and Arserin, V.. Solution of ill posed problems . Winston & Sons, Washington DC. 224 pp. -
Vidard
, P. A., Blayo, E., Le Dimet, F.-X.and Piacentini, A.. 4D-Variational data analysis with imperfect model. reduction of the size of control. J. Flow, Turbulence Com-bust, 65, 489– 504. -
Wang
, Z., Navon, I. M., Le Dimet, F.-X.and Zou, X.. The second order analysis: Theory and applications. Me-teoroL Atmos. Phys. 50, 3– 21. -
Weaver
, A.and Courtier, P.. Correlation modeling on the sphere using a generalized diffusion equation. Q. J. R. MeteoroL Soc. 127, 1815– 1846. -
Wunsch
, C.. The ocean circulation inverse problem . ( Cambridge Univesity Press, Cambridge), 99 pp. -
Yang
, W., Navon, I. M.and Courtier, P.. A new Hessian preconditioning method applied to variational data assimilation experiment using adiabatic version of NASA/GEOS-1G CM. Mon. Wea. Rev. 124( 5), 1000– 1017. -
Zou
, X., Navon, I. M.and Le Dimet, F.-X.. An optimal nudging data assimilation scheme using parameter estimation. Q. J. R. MeteoroL Soc. 118, 1163– 1186.
DOI: https://doi.org/10.3402/tellusa.v55i1.14576 | Journal eISSN: 3035-9554
Language: English
Page range: 1 - 15
Submitted on: May 28, 2001
Accepted on: Jul 31, 2002
Published on: Jan 1, 2003
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 2003 P. A. Vidard, F.-X. Le Dimet, A. Piacentini, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.