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
Freezing Solutions of Equivariant Evolution Equations, SIAM Journal on Applied Dynamical Systems, vol.3, issue.2, pp.85-116, 2004. ,
DOI : 10.1137/030600515
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
-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
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
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
Kolmogorov widths under holomorphic mappings, IMA Journal of Numerical Analysis, 2015. ,
DOI : 10.1093/imanum/dru066
URL : https://hal.archives-ouvertes.fr/hal-01118847
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
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
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
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
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 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
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
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
On n-widths for elliptic problems, Journal of mathematical analysis and applications, pp.272-289, 2000. ,
Reduced basis approximation and a posteriori error estimation for the timedependent viscous Burgers's equation, Calcolo, vol.46, issue.3, pp.157-185, 2009. ,
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
Reduced Basis Methods for Partial Differential Equations. An Introduction, 2016. ,
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
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
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