Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects
References
-
Arrow
, K. J., Hurwicz, L.and Uzawa, M.. Studies in linear and non-linear programming . Stanford University Press, Stanford, 229pp. -
Barnes
, S. L.. Mesoscale objective analysis using weighted time-series observations. NOAA Technical Memorandum ERL NSSL-62 . Environmental Research Laboratories, National Severe Storms Laboratory, Norman, Okla., 60pp. -
Bertsekas
, D. P.. Constrained optimization and Lagrange multiplier methods . Academic Press, London, 395pp. -
Ciarlet
, P. G.. Introduction to matrix numerical analysis and optimization ( in French). Masson, Paris, 279pp. -
Cressman
, G. P.. An operational objective analysis system. Mon. Wea. Rev. 87, 367– 374. -
Courant
, R.and Hilbert, D.. Methods of mathematical physics, vol. II . Interscience Publish., New York, 830pp. -
Daley
, R.. Variational nonlinear normal mode initialization. Tellus, 201– 218. -
Fortin
, M.and Glowinski, R.. Augmented lagrangian methods ( in French). Dunod, Paris, 322pp. -
Gandin
, L. S.. Objective analysis of meteorological fields ( translated from the Russian). Israel Program for Scientific Translations, Jerusalem, 242pp. -
Gill
, P. E., Murray, W.and Wright, M. H.. Practical optimization . Academic Press, London, 401pp. -
Ghil
, M., Cohn, S., Tavantzis, J., Bube, K.and Isaacson, E.. Applications of estimation theory to numerical weather prediction, inDynamical meteorology. Data assimilation methods , eds. Bengtsson, L., Ghil, M.and Källen, E., New York, 139– 224. -
Hall
, M. C. G.and Cacuci, D. G.. Physical interpretation of the adjoint functions for sensitivity analysis of atmospheric models. J. Atmos. Sci. 40, 2537– 2546. -
Kimeldorf
, G.and Wahba.. A correspondence between Bayesian estimation on stochastic processes and smoothing by splines. Ann. Math. Statist. 41, 495– 502. -
Kontarev
, G.. The adjoint equation technique applied to meteorological problems . EC MWF Technical Report No. 21, Reading U.K., 21pp. -
Lemarechal
, C.and Strodiot, J. J.. On a bundle algorithm for non-smooth optimization . In Nonlinear programmingeds. Magasarian, Meyerand Robinson. Academic Press, London, 245– 282. -
Lewis
, J. M.and Derber, J. C.. The use of adjoint equations to solve a variational adjustment problem with advective constraints. Tellus, 309– 322. -
Lewis
, J. M.and Bloom, S. C.. Incorporation of time continuity into subsynoptic analysis by using dynamical constraints. Tellus, 496– 516. -
Lions
, J. L.. Optimal control of systems governed by partial differential equations . Springer-Verlag, Berlin, 396pp. -
Lorenc
, A. C.. A global three-dimensional multi-variate statistical interpolation scheme. Mon. Wea. Rev. 109, 701– 721. -
Navon
, I. M.and De Villiers, R.. Combined penalty multiplier optimization methods to enforce integral invariants conservation. Mon. Wea. Rev. 111, 1228– 1243. -
Penenko
, V.and Obraztsov, N. N.. A variational initialization method for the fields of the meteorological elements. Meteorologiya i Gidrologiya( English translation). 11, 1– 11. -
Sasaki
, Y.. An objective analysis based on the variational method, J. Meteorol. Soc. Japan, 738– 742. -
Sasaki
, Y.. Some basic formalisms in numerical variational analysis. Mon. Wea. Rev. 98, 875– 883. -
Sasaki
, Y.and Goerss, J. S.. Satellite data assimilation using NASA data systems test 6 observations. Mon. Wea. Rev. 110, 1635– 1644. -
Soliz
, P.and Fein, J.. Kinematic analyses for a major winter storm during Amtex 75. J. Meteorol. Soc. Japan. 58, 16– 32. -
Temperton
, C.. Variational normal mode initialization for the ECMWF gridpoint model, in The interaction between objective analysis and initialization , ed. Williamson, D., Montreal, 160– 164. -
Testud
, J.and Chong, M.. Three-dimensional wind field analysis from dual-Doppler radar data, part I. Filtering, interpolating and differentiating the raw data. J. Clim. Appl. Meteorol. 22, 1204– 1215. -
Tribbia
, J. J.. On variational normal mode initialization. Mon. Wea. Rev. 109, 455– 470. -
Wahba
, G.. Variational methods in simultaneous optimum interpolation and initialization, in The interaction between objective analysis and initialization , ed. Williamson, D., Montreal, 178– 185.
DOI: https://doi.org/10.3402/tellusa.v38i2.11706 | Journal eISSN: 3035-9554
Language: English
Page range: 97 - 110
Submitted on: Jan 24, 1985
Accepted on: Jul 8, 1985
Published on: Jan 1, 1986
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 1986 François-Xavier Le Dimet, Olivier Talagrand, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.