R. Abgrall and D. Amsallem, Robust model reduction by $$L^{1}$$ L 1 -norm minimization and approximation via dictionaries: application to nonlinear hyperbolic problems, Advanced Modeling and Simulation in Engineering Sciences, vol.6, issue.1, p.2015
DOI : 10.1186/s40323-015-0055-3

W. Beyn and V. Thümmler, Freezing Solutions of Equivariant Evolution Equations, SIAM Journal on Applied Dynamical Systems, vol.3, issue.2, pp.85-116, 2004.
DOI : 10.1137/030600515

P. Binev, A. Cohen, W. Dahmen, R. Devore, G. Petrova et al., Convergence Rates for Greedy Algorithms in Reduced Basis Methods, SIAM Journal on Mathematical Analysis, vol.43, issue.3, pp.1457-1472, 2011.
DOI : 10.1137/100795772

URL : https://hal.archives-ouvertes.fr/hal-00767082

K. Carlberg, -refinement for reduced-order models, International Journal for Numerical Methods in Engineering, vol.42, issue.02, pp.1192-1210, 2015.
DOI : 10.1002/nme.4800

URL : https://hal.archives-ouvertes.fr/in2p3-00186302

K. Carlberg, C. Bou-mosleh, and C. Farhat, Efficient non-linear model reduction via a least-squares Petrov-Galerkin projection and compressive tensor approximations, International Journal for Numerical Methods in Engineering, vol.35, issue.2, pp.155-181, 2011.
DOI : 10.1002/nme.3050

K. Carlberg, C. Farhat, J. Cortial, and D. Amsallem, The GNAT method for nonlinear model reduction: Effective implementation and application to computational fluid dynamics and turbulent flows, Journal of Computational Physics, vol.242, pp.623-647, 2013.
DOI : 10.1016/j.jcp.2013.02.028

A. Cohen and R. Devore, Kolmogorov widths under holomorphic mappings, IMA Journal of Numerical Analysis, 2015.
DOI : 10.1093/imanum/dru066

URL : https://hal.archives-ouvertes.fr/hal-01118847

W. Dahmen, C. Plesken, and G. Welper, Double greedy algorithms: Reduced basis methods for transport dominated problems, ESAIM: Mathematical Modelling and Numerical Analysis, vol.48, issue.3, pp.623-663, 2014.
DOI : 10.1051/m2an/2013103

R. Devore, G. Petrova, and P. Wojtaszczyk, Greedy Algorithms for Reduced Bases in Banach Spaces, Constructive Approximation, vol.335, issue.3, pp.455-466, 2013.
DOI : 10.1007/s00365-013-9186-2

J. Gerbeau and D. Lombardi, Approximated Lax pairs for the reduced order integration of nonlinear evolution equations, Journal of Computational Physics, vol.265, pp.246-269, 2014.
DOI : 10.1016/j.jcp.2014.01.047

URL : https://hal.archives-ouvertes.fr/hal-00933172

J. S. Hesthaven, G. Rozza, and B. Stamm, Certified Reduced Basis Methods for Parametrized Partial Differential Equations, SpringerBriefs in Mathematics, 2016.
DOI : 10.1007/978-3-319-22470-1

URL : https://hal.archives-ouvertes.fr/hal-01223456

A. Iollo and D. Lombardi, Advection modes by optimal mass transfer, Physical Review E, vol.89, issue.2, p.22923, 2014.
DOI : 10.1103/PhysRevE.89.022923

URL : https://hal.archives-ouvertes.fr/hal-00669693

A. E. Løvgren, Y. Maday, R. , and E. M. , A reduced basis element method for the steady Stokes problem, ESAIM: Mathematical Modelling and Numerical Analysis, vol.40, issue.3, pp.529-552, 2006.
DOI : 10.1051/m2an:2006021

Y. Maday, A. Manzoni, and A. Quarteroni, An online intrinsic stabilization strategy for the reduced basis approximation of parametrized advection-dominated problems, Comptes Rendus Mathematique, vol.354, issue.12
DOI : 10.1016/j.crma.2016.10.008

Y. Maday, A. Patera, and G. Turinici, A priori convergence theory for reduced-basis approximations of single-parameter elliptic partial differential equations, Journal of Scientific Computing, vol.17, pp.1-4, 2002.
URL : https://hal.archives-ouvertes.fr/hal-00798389

J. Melenk, On n-widths for elliptic problems, Journal of mathematical analysis and applications, pp.272-289, 2000.

N. Ngoc-cuong, Reduced basis approximation and a posteriori error estimation for the timedependent viscous Burgers's equation, Calcolo, vol.46, issue.3, pp.157-185, 2009.

M. Ohlberger and S. Rave, Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing, Comptes Rendus Mathematique, vol.351, issue.23-24, pp.901-906, 2013.
DOI : 10.1016/j.crma.2013.10.028

A. Quarteroni, A. Manzoni, and F. Negri, Reduced Basis Methods for Partial Differential Equations. An Introduction, 2016.

L. Sirovich, Turbulence and the dynamics of coherent structures. I. Coherent structures, Quarterly of Applied Mathematics, vol.45, issue.3, pp.561-571, 1987.
DOI : 10.1090/qam/910462

T. Taddei, . Perotto, and A. Quarteroni, Reduced basis techniques for nonlinear conservation laws, ESAIM: Mathematical Modelling and Numerical Analysis, vol.49, issue.3, pp.787-814, 2015.
DOI : 10.1051/m2an/2014054

K. Veroy, C. Prud-'homme, and A. Patera, Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error bounds, Comptes Rendus Mathematique, vol.337, issue.9, pp.619-624, 2003.
DOI : 10.1016/j.crma.2003.09.023

URL : https://hal.archives-ouvertes.fr/hal-01219048