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Modern Applied Mathematics for the Atmospheric and Oceanic Sciences

References

[1] Arakawa, A., 1966: Computational design for long-term numerical integration of the equations of fluid motion: Two dimensional incompressible flow. Part I. J. Comput. Phys., 1, 119 - 143.

[2] Berloff, P. and J. C. McWilliams, 2002: Material transport in oceanic gyres. part II: hierarchy of stochastic models. J. Phys. Oceanogr., in press.

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[9] Lin, J. W.-B. and J. D. Neelin, 2000: Influence of stochastic convection on tropical intraseasonal variability. Geophy. Res. Let., 27, 3691 - 3694.

[10] Majda, A. J. and B. Khouider, 2002: Stochastic and mesoscopic models for tropical convection. Proc. Nat. Acad. Sci., 99, 1123 - 1128.

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[13] Majda, A. J., I. Timofeyev and E. V. Eijnden, 2002: A priori tests of a stochastic mode reduction strategy. to be submitted, manuscript available from http://www.cims.nyu.edu/~eve2/aprioritests.pdf.

[14] Osher, S. and R. Fedkiw, 2001: Level set methods: An overview and some recent results. J. Comput. Phys., 169, 463 - 502.

[15] Osher, S. and J. A. Sethian, 1988: Fronts propagating with curvature dependent speed: algorithms based on hamilton-jacobi formulations. J. Comput. Phys.

[16] Stevens, B., A. A. Ackerman, B. A. Albrecht, A. R. Brown, A. Chlond, J. Cuxart, P. G. Duynkerke, D. C. Lewellen, M. K. MacVean, R. Neggers, E. Sanchez, A. P. Siebesma and D. E. Stevens, 2001: Simulations of trade-wind cumuli under a strong inversion. J. Atmos. Sci., 58, 1870 - 1891.

[17] Stevens, B., C.-H. Moeng and P. P. Sullivan, 1999: Large-eddy simulations of radiatively driven convection: sensitivities to the representation of small scales. J. Atmos. Sci., 56, 3963 - 3984.

[18] Stevens, B., R. L. Walko, W. R. Cotton and G. Feingold, 1996: The spurious production of cloud-edge supersaturation by Eulerian models. Mon. Wea. Rev., 124, 1034 - 1041.

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