H. Baumgärtel, Analytic perturbation theory for matrices and operators, 1985.

S. Benzoni-gavage and D. Serre, Multidimensional hyperbolic partial differential equations First-order systems and applications, 2007.

J. Chazarain and A. Piriou, Introduction to the theory of linear partial differential equations, 1982.

J. Coulombel, Stability of Finite Difference Schemes for Hyperbolic Initial Boundary Value Problems, SIAM Journal on Numerical Analysis, vol.47, issue.4, pp.2844-2871, 2009.
DOI : 10.1137/080728342
URL : https://hal.archives-ouvertes.fr/hal-01114666

J. Coulombel, Stability of finite difference schemes for hyperbolic initial boundary value problems II, Ann. Sc. Norm. Super. Pisa Cl. Sci, issue.51, pp.37-98, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00412050

J. Coulombel and A. Gloria, Semigroup stability of finite difference schemes for multidimensional hyperbolic initial-boundary value problems, Mathematics of Computation, vol.80, issue.273, pp.165-203, 2011.
DOI : 10.1090/S0025-5718-10-02368-9
URL : https://hal.archives-ouvertes.fr/hal-00383891

M. Goldberg and E. Tadmor, Scheme-independent stability criteria for difference approximations of hyperbolic initial-boundary value problems. II, Mathematics of Computation, vol.36, issue.154, pp.603-626, 1981.
DOI : 10.1090/S0025-5718-1981-0606519-9

B. Gustafsson, The convergence rate for difference approximations to mixed initial boundary value problems, Mathematics of Computation, vol.29, issue.130, pp.396-406, 1975.
DOI : 10.1090/S0025-5718-1975-0386296-7

B. Gustafsson, H. Kreiss, and J. Oliger, Time dependent problems and difference methods, 1995.
DOI : 10.1002/9781118548448
URL : http://dx.doi.org/10.1016/0898-1221(96)87350-0

B. Gustafsson, H. Kreiss, and A. Sundström, Stability theory of difference approximations for mixed initial boundary value problems. II, Mathematics of Computation, vol.26, issue.119, pp.649-686, 1972.
DOI : 10.1090/S0025-5718-1972-0341888-3

L. Hörmander, An introduction to complex analysis in several variables, 1990.

H. Kreiss, Stability theory for difference approximations of mixed initial boundary value problems. I, Mathematics of Computation, vol.22, issue.104, pp.703-714, 1968.
DOI : 10.1090/S0025-5718-1968-0241010-7

H. Kreiss, Initial boundary value problems for hyperbolic systems, Communications on Pure and Applied Mathematics, vol.19, issue.3, pp.277-298, 1970.
DOI : 10.1002/cpa.3160230304

G. Métivier, The Block Structure Condition for Symmetric Hyperbolic Systems, Bulletin of the London Mathematical Society, vol.32, issue.6, pp.689-702, 2000.
DOI : 10.1112/S0024609300007517

G. Métivier and K. Zumbrun, Symmetrizers and continuity of stable subspaces for parabolic-hyperbolic boundary value problems, Discrete and Continuous Dynamical Systems, vol.11, issue.1, pp.205-220, 2004.
DOI : 10.3934/dcds.2004.11.205

G. Métivier and K. Zumbrun, Hyperbolic boundary value problems for symmetric systems with variable multiplicities, Journal of Differential Equations, vol.211, issue.1, pp.61-134, 2005.
DOI : 10.1016/j.jde.2004.06.002

D. Michelson, Stability theory of difference approximations for multidimensional initial-boundary value problems, Mathematics of Computation, vol.40, issue.161, pp.1-45, 1983.
DOI : 10.1090/S0025-5718-1983-0679433-2

J. Rauch, L2 is a continuable initial condition for kreiss' mixed problems, Communications on Pure and Applied Mathematics, vol.10, issue.3, pp.265-285, 1972.
DOI : 10.1002/cpa.3160250305

W. Rudin, Real and complex analysis, 1987.

M. Schatzman, Numerical analysis, 2002.

D. Serre, Matrices. Graduate Texts in Mathematics, Theory and applications, 2002.
URL : https://hal.archives-ouvertes.fr/ensl-01402364

J. C. Strikwerda and B. A. Wade, A survey of the Kreiss matrix theorem for power bounded families of matrices and its extensions, Linear operators, pp.339-360, 1994.

E. Tadmor, The equivalence of L2-stability, the resolvent condition, and strict H-stability, Linear Algebra and its Applications, vol.41, pp.151-159, 1981.
DOI : 10.1016/0024-3795(81)90095-1

E. Tadmor, Complex symmetric matrices with strongly stable iterates, Linear Algebra and its Applications, vol.78, pp.65-77, 1986.
DOI : 10.1016/0024-3795(86)90016-9
URL : http://doi.org/10.1016/0024-3795(86)90016-9

L. N. Trefethen, Group Velocity in Finite Difference Schemes, SIAM Review, vol.24, issue.2, pp.113-136, 1982.
DOI : 10.1137/1024038

L. Wu, The Semigroup Stability of the Difference Approximations for Initial- Boundary Value Problems, Mathematics of Computation, vol.64, issue.209, pp.71-88, 1995.
DOI : 10.2307/2153323