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Courant, R., E. Isaacson, and M. Rees (1952). On the solution of nonlinear
hyperbolic differential equations by finite differences. Comm. Pure Appl.
Math. 5, 243-255.
Crandall, M. G. and A. Majda (1980a). The method of fractional steps for
conservation laws. Math. Comp. 34, 285-314.
Crandall, M. G. and A. Majda (1980b). Monotone difference approximations
for scalar conservation laws. Math. Comp. 34, 1-21.
Cullen, M. J. P. (1974). Integrations of the primitive equations on a sphere
using the finite element method. Quart. J. Roy. Meteor. Soc. 100, 555-562.
Cullen, M. J. P. (1979). The finite element method. In Numerical Methods Used
in Atmospheric Models, Volume 11 of GARP Publication Series No . 17, pp.
300-337. Geneva: World Meteorological Organization.
Cullen, M. J. P. (1982). The use of quadratic finite element methods and irregular grids in the solution of hyperbolic problems. J. Comp. Phys. 45,
221-245.
Cullen, M. J. P. (1990). A test of a semi-implicit integration technique for a
fully compressible non-hydrostatic model. Quart. J. Roy. Meteor. Soc. 116,
1253-1258.
Cullen, M. J. P. and C. Hall (1979). Forecasting and general circulation results
from finite element models. Quart. J. Roy. Meteor. Soc. 105,571-592.
Cullen, M. J. P. and K. Morton (1980). Analysis of evolutionary error in finite
element and other methods. J. Comp. Phys. 34, 245-267.
Dahlquist, G. and A. Björck (1974). Numerical Methods. Englewood Cliffs,
New Jersey: Prentice-Hall.
Davies, H. (1976). A lateral boundary formulation for multi-level prediction
models. Quart. J. Roy. Meteor. Soc. 102,405-418.
Davies, H. (1983). Limitations of some common lateral boundary conditions
used in regional NWP models. Mon. Wea. Rev. 111, 1002-1012.
Donea, J. (1984). A Taylor-Galerkin method for convective transport problems.Int. J. Numer. Methods Eng. 20,101-119.
Donea, J., L. Quartapelle, and V. Selmin (1987). An analysis of time discretization in the finite element solution of hyperbolic problems. J. Comp.
Phys. 70, 463-499.
Dupont, T. (1973). Galerkin methods for first order hyperbolies: an example .
SIAM J. Numer. Anal. 10, 890-899.
Durran, D. R. (1989). Improving the anelastic approximation. J. Atmos. Sei. 46,
1453-1461.
445
Courant, R. and D. Hilbert (1953). Methods 0/ Mathematical Physics, Volurne I. New York: Interscience Publishers.
Courant, R., E. Isaacson, and M. Rees (1952). On the solution of nonlinear
hyperbolic differential equations by finite differences. Comm. Pure Appl.
Math. 5, 243-255.
Crandall, M. G. and A. Majda (1980a). The method of fractional steps for
conservation laws. Math. Comp. 34, 285-314.
Crandall, M. G. and A. Majda (1980b). Monotone difference approximations
for scalar conservation laws. Math. Comp. 34, 1-21.
Cullen, M. J. P. (1974). Integrations of the primitive equations on a sphere
using the finite element method. Quart. J. Roy. Meteor. Soc. 100, 555-562.
Cullen, M. J. P. (1979). The finite element method. In Numerical Methods Used
in Atmospheric Models, Volume 11 of GARP Publication Series No . 17, pp.
300-337. Geneva: World Meteorological Organization.
Cullen, M. J. P. (1982). The use of quadratic finite element methods and irregular grids in the solution of hyperbolic problems. J. Comp. Phys. 45,
221-245.
Cullen, M. J. P. (1990). A test of a semi-implicit integration technique for a
fully compressible non-hydrostatic model. Quart. J. Roy. Meteor. Soc. 116,
1253-1258.
Cullen, M. J. P. and C. Hall (1979). Forecasting and general circulation results
from finite element models. Quart. J. Roy. Meteor. Soc. 105,571-592.
Cullen, M. J. P. and K. Morton (1980). Analysis of evolutionary error in finite
element and other methods. J. Comp. Phys. 34, 245-267.
Dahlquist, G. and A. Björck (1974). Numerical Methods. Englewood Cliffs,
New Jersey: Prentice-Hall.
Davies, H. (1976). A lateral boundary formulation for multi-level prediction
models. Quart. J. Roy. Meteor. Soc. 102,405-418.
Davies, H. (1983). Limitations of some common lateral boundary conditions
used in regional NWP models. Mon. Wea. Rev. 111, 1002-1012.
Donea, J. (1984). A Taylor-Galerkin method for convective transport problems.Int. J. Numer. Methods Eng. 20,101-119.
Donea, J., L. Quartapelle, and V. Selmin (1987). An analysis of time discretization in the finite element solution of hyperbolic problems. J. Comp.
Phys. 70, 463-499.
Dupont, T. (1973). Galerkin methods for first order hyperbolies: an example .
SIAM J. Numer. Anal. 10, 890-899.
Durran, D. R. (1989). Improving the anelastic approximation. J. Atmos. Sei. 46,
1453-1461.