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Short-range evolution of small perturbations in a barotropic model Cover

Short-range evolution of small perturbations in a barotropic model

Open Access
|Jan 1988

References

  1. Balgovind , R. , Dalcher , A. , Ghil , M. and Kalnay , E . 1983 . Mon. Wea. Rev. 111 , 701 722 .
  2. Basdevant , C. , Legras , B. , Sadourny , R. and Béland , M . 1981 . A study of barotropic model flows: Intermittency, waves and predictability . J. Amos. Sci . 38 , 2305 2326 .
  3. Brauer , F. and Nohel , J. A . 1969 . Qualitative theory of ordinary differential equations . W. A. Benjamin , New York .
  4. Daley , R . 1980 . On the optimal specification of the initial state for deterministic forecasting . Mon. Wea. Rev . 108 , 1719 1735 .
  5. Daley , R . 1981 . Normal mode initialization. In: Dynamic meteorology: data assimilation methods , eds. Bengtsson , L. , Ghil , M. and Källen , E. Springer-Verlag, New York , 77 109 .
  6. Eckmann , J.-P. and Ruelle , D . 1985 . Ergodic theory of chaos and strange attractors . Rev. Mod. Phys . 57 , Part I , 617 656 .
  7. Errico , R. M . 1982 . Normal mode initialization and the generation of gravity waves by quasi-geostrophic forcing . J. Atmos. Sci . 39 , 573 586 .
  8. Farge , M. and Sadoumy , R . 1986 . Inhibition of the two-dimensional turbulence by rotation (in French) . Comptes Rendus de l'Academie des Science , Serie 12. Turbulence .
  9. Ghil , M. , Cohn , S. , Tavantzis , J. , Bube , K. and Isaacson , E . 1981 . Application of estimation theory to numerical weather prediction. In: Dynamic meteorology: data assimilation methods , eds. Bengtsson , L. , Ghill , M. and Källen , E. Springer-Verlag , New York , 139 224 .
  10. Ghil , M. , Cohn , S. E. and Dalcher , A . 1982 . Sequential estimation, data assimilation and initialization. In: The interaction between objective analysis and initialization. Proceedings of the 14th Stanstead seminar. Publications in Meteorology 127, Depart-ment of Meteorology, McGill University, Montreal , ed. Williamson , D. , 193 pp.
  11. Hoffman , R. N. and Kalnay , E . 1983 . Lagged average forecasting, an alternative to Monte Carlo forecasting . Tellus 35A , 100 118 .
  12. Jazwinski , A. H . 1970 . Stochastic processes and filtering theory . Academic Press , New York .
  13. Le Dimet , F. X. and Talagrand , O . 1986 . Variational algorithms for analysis and assimilation of meteoro-logical observations: theoretical aspects . Tellus 38A , 97 110 .
  14. Leith , C. E . 1974 . Theoretical skill of Monte Carlo forecasts . Mon. Wea. Rev . 102 , 409 418 .
  15. Leith , C. E . 1980 . Nonlinear normal mode initialization and quasi-geostrophic theory. J. Atmos. Sci . 37 , 958 968 .
  16. Lorenz , E. N . 1982 . Atmospheric predictability experi-ments with a large numerical model . Tellus 34 , 505 513 .
  17. Machenhauer , B . 1977 . On the dynamics of gravity oscillations in a shallow-water model with appli-cation to normal mode initialization . Beitr. Phys. Atmos . 50 , 253 271 .
  18. Parlett , P . 1980 . The symmetric eigenvalue problem . Series in computational mathematics, Prentice Hall , Englewood Cliffs , New Jersey .
  19. Pedlosky , J . 1979 . Geophysical fluid dynamics . Springer-Verlag , New York .
  20. Talagrand , O. and Courtier , P . 1987 . Variational assimilation of meteorological observations with the adjoint vorticity equation. Part I: Theory . Q. J. R. Meteorol. Soc . in press .
  21. Thaning , L . 1984 . On the existence of solutions to Machenhauer's nonlinear mode initialization . Tellus 36A , 30 41 .
  22. Thompson , P. D . 1986 . A simple approximate method of stochastic-dynamic prediction for small initial errors and short range . Mon. Wea. Rev . 114 , 1709 1715 .
  23. Urban , B . 1985 . Error maximum growth in simple meteorological models (in French). (Météorologie Nationale Internal report. )
  24. Vautard , R. and Legras , B . 1986 . Invariant manifolds, quasi-geostrophy and initialization. J. Atmos. Sci . 43 , 565 584 .
Language: English
Page range: 81 - 95
Published on: Jan 1, 1988
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 1988 Jean-François Lacarra, Olivier Talagrand, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.