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Simmons, A. J. and D. M. Burridge (1981). An energy and angular-momentum
conserving vertical finite-difference scheme and hybrid vertical coordinates. Mon. Wea. Rev. 109, 758-766.
Simmons, A. J., B. Hoskins, and D. Burridge (1978). Stability of the serniimplicit method oftime integration. Mon. Wea. Rev. 106,405-412.
Simmons, A. J. and C. Temperton (1997). Stability of a two-time-level semiimplicit integration scheme for gravity wave motion. Mon. Wea. Rev. 125,
Skamarock, W. C. and J. B. Klemp (1992). The stability of tirne-split numerical methods for the hydrostatic and nonhydrostatic elastic equations. Mon.
Wea. Rev. 120,2109-2127.
Skamarock, W. c., P. K. Smolarkiewicz, and J. B. Klemp (1997). Precondition conjugate-residual solvers for Helmholtz equations in nonhydrostatic
models. Mon. Wea. Rev. 125, 587-599.
Smolarkiewicz, P. K. (1983). A simple positive definite advection scheme with
small implicit diffusion. Mon. Wea. Rev. 111,479-486.
Smolarkiewicz, P. K. (1984). A fully multidimensional positive definite advection transport algorithm with small implicit diffusion. J. Comp. Phys. 54,
325-362.
Smolarkiewicz, P. K. (1989). Comment on "A positive definite advection
scheme obtained by non linear renonnalization of the advective fluxes" ,
Mon. Wea. Rev. 117,2626-2632.
Smolarkiewicz, P. K. and W. Grabowski (1990). Tbe multidimensional positive definite advection transport algorithm: nonoscillatory option. J. Comp.
Phys. 86, 355-375.
Smolarkiewicz, P. K. and L. G. Margolin (1993). On forward in time differencing for fluids: Extension to a curvilinear framework. Mon. Wea. Rev. 121,
1847-1859.
Smolarkiewicz, P. K. and L. G. Margolin (1994). Variational solver for elliptic
problems in atmospheric flows. Appl. Math . and Comp. Sei. 4, 527-551.
Smolarkiewicz, P. K. and J. Pudykiewicz (1992). A dass of semi-Lagrangian
algorithms for fluids. J. Atmos. Sei. 49, 2082-2096.
Smolarkiewicz, P. K. and R. Rasch (1991). Monotone advection on the sphere:
an Eulerian versus semi-Lagrangian approach. J. Atmos. Sei. 48, 793-810.
Sommerfeld, A. (1949). Partial Differential Equations in Physics. New York:
Academic Press.
Staniforth, A. N. (1987). Review : fonnulating efficient finite-element codes for
flows in regular domains.lnt. J. Numer. Methods Fluids 7, 1-16.
Staniforth, A. N. and J. C öte (1991). Sem i-Lagrangian integration schemes for
atmospheric models-A review. Mon. Wea. Rev. 119, 2206-2223.
453
Simmons, A. J. and D. M. Burridge (1981). An energy and angular-momentum
conserving vertical finite-difference scheme and hybrid vertical coordinates. Mon. Wea. Rev. 109, 758-766.
Simmons, A. J., B. Hoskins, and D. Burridge (1978). Stability of the serniimplicit method oftime integration. Mon. Wea. Rev. 106,405-412.
Simmons, A. J. and C. Temperton (1997). Stability of a two-time-level semiimplicit integration scheme for gravity wave motion. Mon. Wea. Rev. 125,
Skamarock, W. C. and J. B. Klemp (1992). The stability of tirne-split numerical methods for the hydrostatic and nonhydrostatic elastic equations. Mon.
Wea. Rev. 120,2109-2127.
Skamarock, W. c., P. K. Smolarkiewicz, and J. B. Klemp (1997). Precondition conjugate-residual solvers for Helmholtz equations in nonhydrostatic
models. Mon. Wea. Rev. 125, 587-599.
Smolarkiewicz, P. K. (1983). A simple positive definite advection scheme with
small implicit diffusion. Mon. Wea. Rev. 111,479-486.
Smolarkiewicz, P. K. (1984). A fully multidimensional positive definite advection transport algorithm with small implicit diffusion. J. Comp. Phys. 54,
325-362.
Smolarkiewicz, P. K. (1989). Comment on "A positive definite advection
scheme obtained by non linear renonnalization of the advective fluxes" ,
Mon. Wea. Rev. 117,2626-2632.
Smolarkiewicz, P. K. and W. Grabowski (1990). Tbe multidimensional positive definite advection transport algorithm: nonoscillatory option. J. Comp.
Phys. 86, 355-375.
Smolarkiewicz, P. K. and L. G. Margolin (1993). On forward in time differencing for fluids: Extension to a curvilinear framework. Mon. Wea. Rev. 121,
1847-1859.
Smolarkiewicz, P. K. and L. G. Margolin (1994). Variational solver for elliptic
problems in atmospheric flows. Appl. Math . and Comp. Sei. 4, 527-551.
Smolarkiewicz, P. K. and J. Pudykiewicz (1992). A dass of semi-Lagrangian
algorithms for fluids. J. Atmos. Sei. 49, 2082-2096.
Smolarkiewicz, P. K. and R. Rasch (1991). Monotone advection on the sphere:
an Eulerian versus semi-Lagrangian approach. J. Atmos. Sei. 48, 793-810.
Sommerfeld, A. (1949). Partial Differential Equations in Physics. New York:
Academic Press.
Staniforth, A. N. (1987). Review : fonnulating efficient finite-element codes for
flows in regular domains.lnt. J. Numer. Methods Fluids 7, 1-16.
Staniforth, A. N. and J. C öte (1991). Sem i-Lagrangian integration schemes for
atmospheric models-A review. Mon. Wea. Rev. 119, 2206-2223.