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Advances in Meteorology
Volume 2010 (2010), Article ID 375615, 12 pages
Research Article

Forward Sensitivity Approach to Dynamic Data Assimilation

1School of Computer Sciences, University of Oklahoma, Norman, OK 73072, USA
2Forecast R&D, National Severe Storms Laboratory, Norman, OK 73072, USA
3Division of Atmospheric Sciences, Desert Research Institute, Reno, NV 89512, USA

Received 3 December 2009; Accepted 15 February 2010

Academic Editor: Zhaoxia Pu

Copyright © 2010 S. Lakshmivarahan and J. M. Lewis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. H. Rabitz, M. Kramer, and D. Dacol, “Sensitivity analysis in chemical kinetics,” Annual Review of Physical Chemistry, vol. 334, pp. 419–461, 1983. View at Google Scholar
  2. S. Seefeld and W. R. Stockwell, “First-order sensitivity analysis of models with time-dependent parameters: an application to PAN and ozone,” Atmospheric Environment, vol. 33, no. 18, pp. 2941–2953, 1999. View at Publisher · View at Google Scholar · View at Scopus
  3. A. Russell, J. Milford, M. S. Bergin et al., “Urban ozone control and atmospheric reactivity of organic gases,” Science, vol. 269, no. 5223, pp. 491–495, 1995. View at Google Scholar · View at Scopus
  4. F.-X. Le Dimet and O. Talagrand, “Variational algorithms for analysis and assimilation of meteorological observations: theoretical aspects,” Tellus A, vol. 38, no. 2, pp. 97–110, 1986. View at Google Scholar
  5. D. P. Dee, “Bias and data assimilation,” Quarterly Journal of the Royal Meteorological Society, vol. 131, no. 613, pp. 3323–3343, 2006. View at Publisher · View at Google Scholar · View at Scopus
  6. C. W. Gear, Numerical Initial Value Problems in Ordinary Differential Equations, Prentice-Hall, Englewood Cliffs, NJ, USA, 1971.
  7. J. M. Lewis, S. Lakshmivarahan, and S. Dhall, Dynamic Data Assimilation: A Least Squares Approach, Cambridge University Press, Cambridge, UK, 2006.
  8. S. Lakshmivarahan and J. M. Lewis, “Forecast error correction using forward sensitivity analysis: framework,” Tech. Rep., School of Computer Sciences, University of Oklahoma, Norman, Okla, USA, 2009. View at Google Scholar
  9. C. L. Lawson and R. J. Hanson, “Solving least squares problems,” in Classics in Applied Mathematics, vol. 15, p. 337, SIAM, Philadelphia, Pa, USA, 1995. View at Google Scholar
  10. S. G. Nash and A. Sofer, Linear and Nonlinear Programming, McGraw-Hill, New York, NY, USA, 1996.
  11. J. M. Lewis and S. Lakshmivarahan, “Sasaki's pivotal contribution: calculus of variations applied to weather map analysis,” Monthly Weather Review, vol. 136, no. 9, pp. 3553–3567, 2008. View at Publisher · View at Google Scholar · View at Scopus
  12. M. W. Hirsch, S. Smale, and R. L. Devaney, Differential Equations, Dynamical Systems and Linear Algebra, Academic Press, New York, NY, USA, 2nd edition, 2004.