G. I. Marchuk, On the theory of the splitting-up method In Numerical Solution of Partial Differential Equations, II, Proc. Sympos., Univ. of Maryland, pp.469-500, 1970.

J. Oliger and A. Sundström, Theoretical and Practical Aspects of Some Initial Boundary Value Problems in Fluid Dynamics, SIAM Journal on Applied Mathematics, vol.35, issue.3, pp.419-446, 1978.
DOI : 10.1137/0135035

J. Pedlosky, Geophysical fluid dynamics, 1987.
DOI : 10.1007/978-1-4612-4650-3

M. Petcu and A. Rousseau, On the ?-primitive and Boussinesq type equations, 2005.
URL : https://hal.archives-ouvertes.fr/inria-00172497

A. Rousseau, R. Temam, and J. Tribbia, Boundary Layers in an Ocean Related System, Journal of Scientific Computing, vol.60, issue.21, pp.405-432, 2004.
DOI : 10.1007/s10915-004-4096-x

URL : https://hal.archives-ouvertes.fr/inria-00172485

A. Rousseau, R. Temam, and J. Tribbia, Boundary conditions for an ocean related system with a small parameter, Contemporary Mathematics, 2005.
DOI : 10.1090/conm/371/06858

URL : https://hal.archives-ouvertes.fr/inria-00172515

R. Salmon, Lectures on geophysical fluid dynamics, 1998.

G. Strang, On the Construction and Comparison of Difference Schemes, SIAM Journal on Numerical Analysis, vol.5, issue.3, pp.506-517, 1968.
DOI : 10.1137/0705041

R. Temam, Sur l'approximation de la solution deséquationsdeséquations de Navier- Stokes par la méthode des pas fractionnaires. I. Arch. Rational Mech, Anal, vol.32, pp.135-153, 1969.

R. Temam and J. Tribbia, Open Boundary Conditions for the Primitive and Boussinesq Equations, Journal of the Atmospheric Sciences, vol.60, issue.21, pp.2647-2660, 2003.
DOI : 10.1175/1520-0469(2003)060<2647:OBCFTP>2.0.CO;2

R. Temam and M. Ziane, Some Mathematical Problems in Geophysical Fluid Dynamics, Handbook of mathematical fluid dynamics, 2004.
DOI : 10.1016/S1874-5792(05)80009-6