A. Antoine, C. Arnold, M. Besse, . Ehrhardt, and . Schaedle, A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schrödinger Equations, Communications in Computational Physics, vol.4, pp.729-796, 2008.

A. Arnold, Numerically Absorbing Boundary Conditions for Quantum Evolution Equations, VLSI Design, vol.6, issue.1-4, 1998.
DOI : 10.1155/1998/38298

URL : http://doi.org/10.1155/1998/38298

A. Arnold and M. Ehrhardt, Discrete Transparent Boundary Conditions for the Schrödinger Equation, 2001.

A. Arnold, M. Ehrhardt, and I. Sofronov, Discrete transparent boundary conditions for the Schr??dinger equation: fast calculation, approximation, and stability, Communications in Mathematical Sciences, vol.1, issue.3, 2003.
DOI : 10.4310/CMS.2003.v1.n3.a7

C. Besse, M. Ehrhardt, I. Lacroix, and . Violet, Discrete Artificial Boundary Conditions for the Korteweg-de Vries Equation, Numerical Methods for Partial Differential Equations, 2015.
DOI : 10.1002/num.22058

URL : https://hal.archives-ouvertes.fr/hal-01105043

J. G. Caldas-steinstraesser, R. Cienfuegos, J. D. Mora, and A. Rousseau, A Schwarzbased domain decomposition method for the dispersion equation, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01617692

M. J. Gander, Schwarz methods over the course of time, Electronic Transactions on Numerical Analysis, vol.31, pp.228-255, 2008.

J. Gerbeau and B. Perthame, Derivation of Viscous Saint-Venant System for Laminar Shallow Water; Numerical Validation. Discrete and Continuous Dynamical Systems -Series B, pp.89-102, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00691701

A. E. Green and P. M. Naghdi, A derivation of equations for wave propagation in water of variable depth, Journal of Fluid Mechanics, vol.338, issue.02, pp.237-246, 1976.
DOI : 10.1017/S0022112076002425

C. Japhet and F. Nataf, The Best Interface Conditions for Domain Decomposition Methods: Absorbing Boundary Conditions In Absorbing Boundaries and Layers, Domain Decomposition Methods: Applications to Large Scale Computations, pp.348-373, 2001.

M. Kazakova and P. Noble, Discrete transparent boundary conditions for the linearized Green- Naghdi system of equations, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01613071

P. Lions, On the Schwarz Alternating Method I, First International Symposium on Domain Decomposition Methods for Partial Differential Equations, pp.1-42, 1988.

P. Lions, On the Schwarz Alternating Method III: A variant for Nonoverlapping Subdomains, Third International Symposium on Domain Decomposition Methods for Partial Differential Equations, pp.202-223, 1989.

O. Nwogu, Alternative Form of Boussinesq Equations for Nearshore Wave Propagation, Journal of Waterway, Port, Coastal, and Ocean Engineering, vol.119, issue.6, pp.618-638, 1993.
DOI : 10.1061/(ASCE)0733-950X(1993)119:6(618)

D. Peregrine, Long waves on a beach, Journal of Fluid Mechanics, vol.13, issue.04, pp.815-827, 1967.
DOI : 10.1029/JZ071i002p00393

V. Roeber and K. F. Cheung, Boussinesq-type model for energetic breaking waves in fringing reef environments, Coastal Engineering, vol.70, pp.1-20, 2012.
DOI : 10.1016/j.coastaleng.2012.06.001

H. A. Schwarz, Ueber einen Grenzübergang durch alternirendes Verfahren, Vierteljahrsschrift der Naturforschenden Gesellschaft in Zürich, vol.15, issue.17, pp.272-286