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The spectra of singular values in a regional model Cover

The spectra of singular values in a regional model

Open Access
|Jan 2001

References

  1. Barkmeijer , J. , Buizza , R. , Palmer , T. N. , Puri , K. and Mahfouf , J.-F . 2001 . Tropical singular vectors com-puted with linearized diabatic processes. Quart. J. Roy. Meteor. Soc . 127A , in press.
  2. Bourke , W. and McGregor , J. L . 1983 . A nonlinear ver-tical mode initialization scheme for a limited area prediction model . Mon. Wea. Rev . 111 , 2285 2297 .
  3. Buizza , R . 1994 . Sensitivity of optimal unstable struc-tures . Quart. J. Roy. Meteor. Soc . 120 , 429 451 .
  4. Buizza , R. , Tribbia , J. , Molteni , F. and Palmer , T. N. 1993 . Computation of optimal unstable structures for a numerical weather prediction model. Tellus 45A , 388 407.
  5. Cohn , S. E. and Todling , R . 1996 . Approximate data assimilation schemes for stable and unstable dynamics . J. Meteor. Soc. Japan 96 , 63 75 .
  6. Davies , H. C. and Turner , R. E . 1977 . Updating predic-tion models by dynamical relaxation: an examination of the technique . Quart. J. Roy. Meteor. Soc . 103 , 225 245 .
  7. Ehrendorfer , M . 1997 . Predicting the uncertainty of numerical weather forecasts . Meteorol. Zeitschrift 6 , 147 183 .
  8. Ehrendorfer , M. and Errico , R. M . 1995 . Mesoscale pre-dictability and the spectrum of optimal perturbations . J. Atmos. Sci . 52 , 3475 3500 .
  9. Ehrendorfer , M. , Errico , R. M. and Raeder , K. D . 1999 . Singular-vector perturbation growth in a primitive-equation model with moist physics . J. Atmos. Sci . 56 , 1627 1648 .
  10. Ehrendorfer , M. and Tribbia , J. J . 1997 . Optimal predic-tion of forecast error covariances through singular vectors . J. Atmos. Sci . 54 , 286 313 .
  11. Errico , R. M . 1997 . What is an adjoint model . Bull. Am. Meteor. Soc . 78 , 2577 2591 .
  12. Errico , R. M . 2000a . Interpretations of the total energy and rotational energy norms applied to determination of singular vectors . Quart. J. Roy. Meteor. Soc . 126A , 1581 1599 .
  13. Errico , R. M . 2000b . The dynamical balance of singular vectors in a primitive equation model . Quart. J. Roy. Meteor. Soc . 126A , 1601 1618 .
  14. Errico , R. M. and Baumhefner , D. P . 1987 . Predictability experiments using a high-resolution limited-area model . Mon. Wea. Rev . 115 , 488 504 .
  15. Errico , R. M. and Raeder , K. D . 1999 . An examination of the accuracy of the linearization of a mesoscale model with moist physics . Quart. J. Roy. Meteor. Soc . 125 , 169 195 .
  16. Errico , R. M. , Raeder , K. and Vukiéeviá , T . 1994 . Description of the NCAR mesoscale adjoint modeling system version 1 (MAMS1). NCAR Technical Note, NCAR/TN-410 + IA. (Available from the National Center for Atmospheric Research, PO Box 3000, Boulder, CO 80307, USA.)
  17. Farrell , B. F . 1989 . Optimal excitation of baroclinic waves . J. Atmos. Sci . 46 , 1193 1206 .
  18. Farrell , B. F . 1990 . Small error dynamics and the predict-ability of atmospheric flows . J. Atmos. Sci . 47 , 2409 2416 .
  19. Farrell , B. F. and Ioannou , P. J . 1996a . Generalized stability theory. Part I: Autonomous operators . J. Atmos. Sci . 53 , 2025 2040 .
  20. Farrell , B. F. and Ioannou , P. J . 1996b . Generalized stability theory. Part II: Nonautonomous operators . J. Atmos. Sci . 53 , 2041 2053 .
  21. Fillion , L. and Mahfouf , J.-F . 2000 . Coupling of moist convective and stratiform precipitation processes for variational data assimilation . Mon. Wea. Rev . 128 , 109 124 .
  22. Gelaro , R. , Buizza , R. , Palmer , T. N. and Klinker , E . 1997 . Sensitivity analysis of forecast errors and the construction of optimal perturbations using singular vectors . J. Atmos. Sci . 55 , 1012 1037 .
  23. Gelaro , R. , Langland , R. H. , Rohaly , G. D. and Ros-mond , T. E . 1999 . An assessment of the singular vector approach to targeted observing using the FASTEX data set . Quart. J. Roy. Meteor. Soc . 125 , 3299 3327 .
  24. Grimes , R. G. , Lewis , J. G. and Simon , H. D . 1994 . A shifted block Lanczos algorithm for solving sparse symmetric generalized eigenproblems . SIAM J. Matrix Analysis and Applications 15 , 228 272 .
  25. Mahfouf , J.-F . 1999 . Influence of physical processes on the tangent—linear approximation . Tellus 51A , 147 166 .
  26. Moorthi , S. and Suarez , M. J . 1992 . Relaxed Arakawa—Schubert: A parameterization of moist convection for general circulation models . Mon. Wea. Rev . 120 , 978 1002 .
  27. Mullen , S. L. and Baumhefner , D. P . 1989 . The impact of initial condition uncertainty on numerical simulations of large-scale explosive cyclogenesis. Mon. Wea. Re v . 117 , 2800 2821 .
  28. Palmer , T. N. , Gelaro , R. , Barkmeijer , J. and Buizza , R . 1998 . Singular vectors, metrics, and adaptive observa-tions. J. Atmos. Sc i . 55 , 633 653 .
  29. Pu , Z.-X. , Kalnay , E. , Sela , J. and Szunyogh , I. 1997 . Sensitivity of forecast errors to initial conditions with a quasi-inverse linear method. J. Atmos. Sci . 125 , 2479 2503.
  30. Reynolds , C. A. and Palmer , T. N . 1998 . Decaying singu-lar vectors and their impact on analysis and forecast correction. J. Atmos. Sc i . 55 , 3005 3023 .
  31. Strang , G . 1986 . Introduction to applied mathematics . Wellesley-Cambridge Press, 758 pp.
  32. Talagrand , 0. 1981 . A study of the dynamics of four-dimensional data assimilation . Tellus 33 , 43 60 .
Language: English
Page range: 317 - 332
Submitted on: Mar 28, 2000
Accepted on: Dec 5, 2000
Published on: Jan 1, 2001
Published by: Stockholm University Press
In partnership with: Paradigm Publishing Services

© 2001 Ronald M. Errico, Martin Ehrendorfer, Kevin Raeder, published by Stockholm University Press
This work is licensed under the Creative Commons Attribution 4.0 License.