, The Audible Human Project of acoustics and vibrations laboratory of University of Illinois at 985 Chicago, pp.2007-2014

J. L. Aurentz and L. N. Trefethen, Chopping a Chebyshev series, ACM Trans. Math. 987 Software, vol.43, issue.4, 2017.

T. Driscoll, N. Hale, and L. N. Trefethen, Chebfun guide, p.989, 2014.

B. Engquist and A. Majda, Absorbing boundary conditions for the numerical 990 simulation of waves, Math. Comp, vol.31, issue.139, pp.629-651, 1977.

C. Grandmont, B. Maury, and N. Meunier, A viscoelastic model with non-local 992 damping application to the human lungs, M2AN Math. Model. Numer. Anal, vol.40, issue.1, pp.201-224, 2006.

P. Joly and M. Kachanovska, Transparent boundary conditions for wave propagation 995 in fractal trees: convolution quadrature approach, Transparent boundary conditions for wave propagation in fractal trees (ii): error and 997 complexity analysis

, Transparent boundary conditions for wave propagation in fractal trees: convolution 999 quadrature approach, 1000.

P. Joly, M. Kachanovska, and A. Semin, Wave propagation in fractal trees. 1002 Mathematical and numerical issues, Netw. Heterog. Media, vol.14, issue.2, pp.205-264, 1003.

P. Joly and A. Semin, Construction and analysis of improved Kirchoff conditions 1004 for acoustic wave propagation in a junction of thin slots, -Sud Working Group on 1005 Modelling and Scientific Computing, vol.25, p.1006, 2007.

P. Joly and M. Kachanovska, , pp.44-67, 2008.

P. Joly and A. Semin, Construction and analysis of improved kirchoff conditions for 1008 acoustic wave propagation in a junction of thin slots, ESAIM: Proc, vol.25, pp.44-67, 2008.

C. Lubich, Convolution quadrature and discretized operational calculus. I, Numer. Math, vol.52, issue.2, pp.129-145, 1988.

, Convolution quadrature and discretized operational calculus, Numer. Math, vol.II, issue.4, pp.413-425, 1988.

C. Lubich, Convolution quadrature revisited, BIT, vol.44, issue.3, pp.503-514, 2004.

B. Maury, The respiratory system in equations, p.1015, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00929739

B. Maury, D. Salort, and C. Vannier, Trace theorems for trees, application 1016 to the human lungs, Network and Heteregeneous Media, vol.4, issue.3, pp.469-500, 2009.

T. J. Royston, X. Zhang, H. A. Mansy, and R. H. Sandler, Modeling sound transmission 1018 through the pulmonary system and chest with application to diagnosis of a collapsed lung, The Journal of the Acoustical Society of America, vol.111, issue.4, pp.1931-1946, 1019.

A. Semin, Propagation d'ondes dans des jonctions de fentes minces, p.1021, 2010.

L. N. Trefethen, Approximation theory and approximation practice, Society for Industrial 1022 and Applied Mathematics (SIAM), 1023.