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and the pseudo -incompressible system. J. Atmos. Sei. 51, 3549-3565.
Nitta, T. (1962). The outflow boundary condition in numerical time integration
of advective equations. J. Meteor. Soc. Japan 40, 13-24.
Ogura, Y. and N. Phillips (1962) . Scale analysis for deep and shallow convection in the atmosphere. J. Atmos. Sei. 19, 173-179.
Oleinik, O. (1957) . Discontinuous solutions of nonlinear differential equations.
Amer. Math. Soc. Tranl., Ser. 2 26, 95-172.
Oliger, J. and A. Sundström (1978). Theoretical and practical aspects of some
initial boundary value problems in fluid dynamics. SIAM J. Appl. Math 35,
419-446.
Oliveira, A. and A. M. Baptista (1995). A comparison ofintegration and interpolation Eulerian-Lagrangian methods. Int. J. Numer. Methods Fluids 21,
183-204.
Orlanski, I. (1976) . A simple boundary condition for unbounded hyperbolic
flows. J. Comp. Phys. 21, 251-269.
Orszag, S. A. (1970) . Transform method for calculation of vector-coupled
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Sei. 27, 890-895.
Orszag, S. A., M. Israeli, and M. O. Deville (1986) . Boundary conditions for
incompressible flows. J. Seientijic Comp. 1, 75-111.
Pearson, R. (1974) . Consistent boundary conditions for numerical models of
systems that admit dispersive waves. J. Atmos. Sei. 31,1481-1489.
Pedlosky, J. (1987) . Geophysical Fluid Dynamics (second ed.). New York:
Springer-Verlag.
Phillips, N. A. (1957) . A coordinate system having some special advantages
for numerical forecasting. J. Meteor. 14, 184-185.
Phillips, N. A. (1959). An example of non-linear computational instability. In
The Atmosphere and Sea in Motion, Rossby Memorial Volume, pp. 501504. New York: RockefeIler Institute Press .
Phillips, N. A. (1973). Principles oflarge scale numerical weather prediction.
In P. Morel (Ed.), Dynamic Meteorology, pp. 1-96. Dordrecht: Riedel .
Pint)', J., R. Benoit, E. Richard, and R. Laprise (1995). Simple tests of a semiimplicit semi-Lagrangian model on 2D mountain wave problems. Mon.
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Priestley, A. (1992). The Taylor-Galerkin method for the shallow-water equations on the sphere. Mon. Wea. Rev. 120,3003-3015.
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451
Nance, L. B. and D. Durran (1994). A comparison of three anelastic systems
and the pseudo -incompressible system. J. Atmos. Sei. 51, 3549-3565.
Nitta, T. (1962). The outflow boundary condition in numerical time integration
of advective equations. J. Meteor. Soc. Japan 40, 13-24.
Ogura, Y. and N. Phillips (1962) . Scale analysis for deep and shallow convection in the atmosphere. J. Atmos. Sei. 19, 173-179.
Oleinik, O. (1957) . Discontinuous solutions of nonlinear differential equations.
Amer. Math. Soc. Tranl., Ser. 2 26, 95-172.
Oliger, J. and A. Sundström (1978). Theoretical and practical aspects of some
initial boundary value problems in fluid dynamics. SIAM J. Appl. Math 35,
419-446.
Oliveira, A. and A. M. Baptista (1995). A comparison ofintegration and interpolation Eulerian-Lagrangian methods. Int. J. Numer. Methods Fluids 21,
183-204.
Orlanski, I. (1976) . A simple boundary condition for unbounded hyperbolic
flows. J. Comp. Phys. 21, 251-269.
Orszag, S. A. (1970) . Transform method for calculation of vector-coupled
sums: Application to the spectral form of the vorticity equation. J. Atmos.
Sei. 27, 890-895.
Orszag, S. A., M. Israeli, and M. O. Deville (1986) . Boundary conditions for
incompressible flows. J. Seientijic Comp. 1, 75-111.
Pearson, R. (1974) . Consistent boundary conditions for numerical models of
systems that admit dispersive waves. J. Atmos. Sei. 31,1481-1489.
Pedlosky, J. (1987) . Geophysical Fluid Dynamics (second ed.). New York:
Springer-Verlag.
Phillips, N. A. (1957) . A coordinate system having some special advantages
for numerical forecasting. J. Meteor. 14, 184-185.
Phillips, N. A. (1959). An example of non-linear computational instability. In
The Atmosphere and Sea in Motion, Rossby Memorial Volume, pp. 501504. New York: RockefeIler Institute Press .
Phillips, N. A. (1973). Principles oflarge scale numerical weather prediction.
In P. Morel (Ed.), Dynamic Meteorology, pp. 1-96. Dordrecht: Riedel .
Pint)', J., R. Benoit, E. Richard, and R. Laprise (1995). Simple tests of a semiimplicit semi-Lagrangian model on 2D mountain wave problems. Mon.
Wea. Rev. 123, 3042-3058.
Priestley, A. (1992). The Taylor-Galerkin method for the shallow-water equations on the sphere. Mon. Wea. Rev. 120,3003-3015.
Rasch, P. (1986). Towards atmospheres without tops: absorbing upper boundary conditions for numerical models . Quart. J. Roy. Meteor. Soc. 112,
1195-1218.