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Original Articles

On the existence of solutions to Machenhauer's non-linear normal mode initialization

Pages 30-41 | Received 17 Dec 1982, Accepted 02 May 1983, Published online: 15 Dec 2016

References

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  • Baer, F. and Tribbia, J. 1977. On complete filtering of gravity modes through non-linear initialization. Mon. Wea. Rev. 105, 1536–1539.
  • Ballish, B. 1981. A simple test of the initialization of gravity modes. Mon. Wea. Rev. 109, 1318–1321.
  • Daley, R. 1978. Variational non-linear normal-mode initialization. Tellus 30, 201–218.
  • Gollvik, S. and Thaning, L. 1980. A spectral primitive shallow water model on an equatorial β-plane. Dept. of Meteorology, University of Stockholm, Report DM-33. (Available from Library, Dept of Meteorology, University of Stockholm, Arrhenius Laboratory, S-106 91 Stockholm, Sweden.)
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  • Machenhauer, B. 1977. On the dynamics of gravity oscillations in a shallow water-model, with applications to normal-mode initialization. Contrib. Atmos. Phys. 50, 253–271.
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  • Tribbia, J. 1981. Non-linear normal-mode balancing and the ellipticity condition. Mon. Wea. Rev. 109, 1751–1761.