Second-order approximation to the 3DVAR cost function: application to analysis/forecast
By: S. Lakshmivarahan, Yuki Honda and J. M. Lewis
References
-
Andersson
, E.and Järvinen, H.. Variational quality con-trol. Q. J. R. Meteorol. Soc. 125, 697– 722. -
Bergthorsson
, P.and Diiiis, B.. Numerical weather map analysis. Tellus, 229– 240. -
Daley
, R.. Atmospheric data analysis . Cambridge University Press, Cambridge, 457 pp. -
Daley
, R.and Barker, E.. 129, 129– 883. -
Dennis
, J. E., Gay, D. M.and Welsch, R.E.. An adaptive nonlinear least-squares algorithm. ACM Trans. Math. Software, 7, 369– 383. -
Dennis
, J. E.Jr. and Schnabel, R. B.. Numerical methods for unconstrained optimization and nonlinear equa-tions. SIAM Classics in Applied Mathematics, vol. 16. 378 pp. -
Epstein
, E.. Stochastic dynamic prediction. Tellus, 739– 759. -
Huang
, X.-Yu.. 128, 128– 2600. -
Lewis
, J. M.and Derber. The use of adjoint equations to solve a variational adjustment problem with advective constraints. Tellus, 309– 322. -
Le Dimet
, F. X.and Talagrand, O.. Variational algorithms for analysis and assimilation of meteorological ob-servations: theoretical aspects. Tellus 38A, 97– 110. -
Le Dimet
, E X., Navon, I. M.and Descau, D. N.. Mon. Wea. Rev. 130, 629– 648. -
Lorenc
, A. C.. Analysis methods for numerical weather prediction. Quart. J. R. MeteoroL Soc. 112, 1177– 1194. -
Lorenz
, E. N.. Maximum simplification of the dynamic equations. Tellus, 243– 254. -
Nash
, G.and Sofer, A.. Linear and nonlinear program-ming . McGraw Hill, New York, 692 pp. -
Press
, W., Teukolsky, S., Vetterling, W.and Flannery, B.. Numerical recipes in FORTRAN (art of scientific comput-ing) . Cambridge University Press, Cambridge, 963 pp. -
Sasaki
, Y.. An objective analysis based on variational methods. J. MeteoroL Soc. Jpn. 36, 77– 88. -
Talagrand
, O. and Courtier, P.. Variational assimilation of meteorological observations with adjoint voracity equation. I: Theory. Q. J. R. MeteoroL Soc. 113, 113– 1328. -
Tarantola
, A.. Inverse problem theory: Methods for data fitting and model parameter estimation . Elsevier, Amster-dam, 613 pp. -
Thi´ebaux
, H. J.and Pedder, M. A.. Spatial objective analysis. Academic Press, New York, 299 pp. -
Thompson
, P.D . 1957. Uncertainty of initial state as a factor in the predictability of large scale atmosphere pattern. Tellus, 275– 295. -
Wang
, Z., Navon, I., Le Dimet, F.and Zhou, X.. The second-order adjoint analysis: theory and application.. 50, 50– 20. -
Wang
, Z., Navon, I., Zhou, X.and LeDimet, F.. A truncated Newton optimization algorithm in meteorological application with analytic Hessian/vector products. Corn-put. Optim. Appl. 4, 4– 262. -
Wang
, Z., Droegemeier, K., White, L.and Navon, I.. Application of a new adjoint Newton algorithm to the 3D ARPS storm scale model using simulated data. Mon. Wea. Rev. 125, 125– 2478. -
Wiin-Nielsen
, A.. The birth of numerical weather pre-diction. Tellus, 36– 52.
DOI: https://doi.org/10.3402/tellusa.v55i5.12106 | Journal eISSN: 3035-9554
Language: English
Page range: 371 - 384
Submitted on: Mar 18, 2002
Accepted on: Apr 15, 2003
Published on: Jan 1, 2003
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services
© 2003 S. Lakshmivarahan, Yuki Honda, J. M. Lewis, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.