H. J. Morand and R. Ohayon, Fluid Strucutre Interaction Applied Numerical Methods, 1995.

H. Voss and M. Stammberger, Structural-Acoustic Vibration Problems in the Presence of Strong Coupling, Journal of Pressure Vessel Technology, vol.86, issue.1, pp.135-011303, 2013.
DOI : 10.2514/3.4741

R. Lehoucq, D. C. Sorensen, and C. Yang, Arpack Users Guide: Solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods, 1998.
DOI : 10.1137/1.9780898719628

B. Claude, L. Duigou, G. Girault, and J. M. Cadou, Eigensolutions to a vibroacoustic interior coupled problem with a perturbation method, Comptes Rendus M??canique, vol.345, issue.2, pp.345-130, 2017.
DOI : 10.1016/j.crme.2016.11.002
URL : https://hal.archives-ouvertes.fr/hal-01697263

B. Cochelin and M. Medale, Power series analysis as a major breakthrough to improve the efficiency of Asymptotic Numerical Method in the vicinity of bifurcations, Journal of Computational Physics, vol.236, issue.1, pp.594-607, 2013.
DOI : 10.1016/j.jcp.2012.11.016
URL : https://hal.archives-ouvertes.fr/hal-01293093

M. Maess and L. Gaul, Substructuring and model reduction of pipe components interacting with acoustic fluids, Mechanical Systems and Signal Processing, pp.20-4564, 2006.
DOI : 10.1016/j.ymssp.2005.02.008

G. A. Baker and P. Graves-morris, Padé approximants, Encyclopedia of Mathematics and its applications, 1996.

A. Najah, B. Cochelin, and N. , Damil and M. Potier-Ferry, A critical review of asymptotic numerical methods, Archives of Computational Methods in Engineering, vol.5, pp.3-22, 1998.

A. Elhage-hussein, M. Potier-ferry, and N. Damil, A numerical continuation method based on Pad?? approximants, International Journal of Solids and Structures, vol.37, issue.46-47, pp.6981-7001, 2000.
DOI : 10.1016/S0020-7683(99)00323-6

P. Avery, C. Farhat, and U. Hetmaniuk, A Pad??-based factorization-free algorithm for identifying the eigenvalues missed by a generalized symmetric eigensolver, International Journal for Numerical Methods in Engineering, vol.63, issue.3, pp.239-252, 2009.
DOI : 10.1137/1.9780898719628
URL : http://www.stanford.edu/group/frg/publications/recent/pap_new.pdf

A. Bermúdez and R. Rodríguez, Finite element computation of the vibration modes of a fluid???solid system, Computer Methods in Applied Mechanics and Engineering, vol.119, issue.3-4, pp.3-4, 1994.
DOI : 10.1016/0045-7825(94)90095-7

F. Bekhoucha, S. Rechak, and J. M. Cadou, Eigensensitivity analysis of rotating clamped uniform beams with the asymptotic numerical method, Journal of Sound and Vibration, vol.385, pp.310-329, 2016.
DOI : 10.1016/j.jsv.2016.09.003

Y. Guevel, T. Allain, G. Girault, and J. M. Cadou, Numerical bifurcation analysis for three-dimensional sudden expansion fluid dynamic problem, International Journal for Numerical Methods in Fluids
DOI : 10.1002/fld.4478

A. Jawadi, H. Boutyour, and J. M. Cadou, Asymptotic numerical method for steady flow of power-law fluids, Journal of Non-Newtonian Fluid Mechanics, vol.202, pp.22-31, 2013.
DOI : 10.1016/j.jnnfm.2013.09.005
URL : https://hal.archives-ouvertes.fr/hal-00985317

T. J. Bromwich, An introduction to the theory of infinite series, 1908.

M. Van-dyke, ANALYSIS AND IMPROVEMENT OF PERTURBATION SERIES, The Quarterly Journal of Mechanics and Applied Mathematics, vol.27, issue.4, pp.423-450, 1974.
DOI : 10.1093/qjmam/27.4.423

C. Domb and M. F. Sykes, On the Susceptibility of a Ferromagnetic above the Curie Point, Proceedings Royal Society A, p.214, 1221.
DOI : 10.1098/rspa.1957.0078