P. B. Bailey, W. N. Everitt, and A. , Regular and singular Sturm???Liouville problems with coupled boundary conditions, Proc. Roy. Soc. Edinburgh, 126A, pp.505-514, 1996.
DOI : 10.1112/plms/s3-64.3.545

D. Bennequin, M. J. Gander, and L. Halpern, A homographic best approximation problem with application to optimized Schwarz waveform relaxation to appear in Mathematics of Computation, 2008.

E. Blayo, L. Halpern, and C. Japhet, Optimized Schwarz Waveform Relaxation Algorithms with Nonconforming Time Discretization for Coupling Convection-diffusion Problems with Discontinuous Coefficients, Series: Lecture Notes in Computational Science and Engineering, 2007.
DOI : 10.1007/978-3-540-34469-8_31

URL : https://hal.archives-ouvertes.fr/inria-00187555

G. Danabasoglu, W. G. Large, J. Tribbia, P. Gent, B. Briegleb et al., Diurnal Coupling in the Tropical Oceans of CCSM3, Journal of Climate, vol.19, issue.11, 2006.
DOI : 10.1175/JCLI3739.1

O. Dubois, Optimized schwarz methods for the advection-diffusion equation and for problems with discontinuous coefficients, 2007.

V. W. Ekman, On the influence of the earth's rotation on ocean currents, Arch. Math. Astron. Phys, vol.2, pp.1-52, 1905.

B. Engquist and A. Majda, Absorbing boundary conditions for the numerical simulation of waves, Mathematics of Computation, vol.31, issue.139, pp.629-651, 1977.
DOI : 10.1090/S0025-5718-1977-0436612-4

M. J. Gander and A. M. Stuart, Space-Time Continuous Analysis of Waveform Relaxation for the Heat Equation, SIAM Journal on Scientific Computing, vol.19, issue.6, pp.2014-2031, 1998.
DOI : 10.1137/S1064827596305337

M. J. Gander, L. Halpern, and F. Nataf, Optimized Schwarz Methods, Twelfth International Conference on Domain Decomposition Methods, pp.15-28, 2001.
DOI : 10.1137/S0036142903425409

URL : https://hal.archives-ouvertes.fr/hal-00107263

M. J. Gander and L. Halpern, M??thodes de relaxation d'ondes (SWR) pour l'??quation de la chaleur en dimension 1, Comptes Rendus Mathematique, vol.336, issue.6, pp.519-524, 2003.
DOI : 10.1016/S1631-073X(03)00009-8

M. J. Gander and L. Halpern, Optimized Schwarz Waveform Relaxation Methods for Advection Reaction Diffusion Problems, SIAM Journal on Numerical Analysis, vol.45, issue.2, pp.666-697, 2007.
DOI : 10.1137/050642137

M. J. Gander, ,. L. Halpern, and F. Magoules, An optimized Schwarz method with two-sided Robin transmission conditions for the Helmholtz equation, International Journal for Numerical Methods in Fluids, vol.27, issue.4, pp.163-175, 2007.
DOI : 10.1002/fld.1433

URL : https://hal.archives-ouvertes.fr/hal-00623843

L. Halpern, M. J. Gander, and M. Kern, A schwarz waveform relaxation method for advection-diffusion-reaction problems with discontinuous coefficients and non-matching grids, Proceedings of the 16th International Conference on Domain Decomposition Methods, 2005.
URL : https://hal.archives-ouvertes.fr/hal-01111940

C. Japhet and F. Nataf, The best interface conditions for domain decomposition methods : Absorbing boundary conditions. Artificial boundary conditions, with Applications to Computational Fluid Dynamics Problems, 2000.

Q. Kong and A. Zettl, Eigenvalues of Regular Sturm???Liouville Problems, Journal of Differential Equations, vol.131, issue.1, pp.1-19, 1996.
DOI : 10.1006/jdeq.1996.0154

W. G. Large, J. C. Mcwilliams, and S. C. Doney, Oceanic vertical mixing: A review and a model with a nonlocal boundary layer parameterization, Reviews of Geophysics, vol.33, issue.11, pp.363-403, 1994.
DOI : 10.1029/94RG01872

E. Lelarasmee, A. Ruehli, and A. Sangiovanni-vincentelli, The Waveform Relaxation Method for Time-Domain Analysis of Large Scale Integrated Circuits, IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, vol.1, issue.3, pp.131-145, 1982.
DOI : 10.1109/TCAD.1982.1270004

P. L. Lions, On the schwarz alternating method iii: a variant for nonoverlapping subdomains, Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, 1990.

Y. Maday and F. Magoulés, Non-overlapping additive Schwarz methods tuned to highly heterogeneous media Comptes Rendus de l, Academie des Sciences. Serie, vol.1, pp.341-352, 2005.

O. S. Madsen, A Realistic Model of the Wind-Induced Ekman Boundary Layer, Journal of Physical Oceanography, vol.7, issue.2, pp.248-255, 1977.
DOI : 10.1175/1520-0485(1977)007<0248:ARMOTW>2.0.CO;2

F. Nataf, F. Rogier, and E. De-sturler, Optimal interface conditions for domain decomposition methods, Tech. Rep, vol.301, 1994.

A. Quarteroni and A. Valli, Domain Decomposition Methods for Partial Differential Equations, 1999.

I. Troen and L. Mahrt, A simple model of the atmospheric boundary layer; sensitivity to surface evaporation, Boundary-Layer Meteorology, vol.105, issue.1-2, pp.129-148, 1986.
DOI : 10.1007/BF00122760