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[1] I. Babuska,et al. On a dimensional reduction method. I. The optimal selection of basis functions , 1981 .
[2] A. Quarteroni,et al. Reduced Basis Techniques For Nonlinear Conservation Laws , 2015 .
[3] Adrien Leygue,et al. The Proper Generalized Decomposition for Advanced Numerical Simulations: A Primer , 2013 .
[4] A. Patera,et al. Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations , 2007 .
[5] Ivo Babuška,et al. On a dimensional reduction method. II. Some approximation-theoretic results , 1981 .
[6] J. Hesthaven,et al. Reduced Basis Approximation and A Posteriori Error Estimation for Parametrized Partial Differential Equations , 2007 .
[7] Jean-Frédéric Gerbeau,et al. Approximated Lax pairs for the reduced order integration of nonlinear evolution equations , 2014, J. Comput. Phys..
[8] L. Mathelin,et al. Equation‐free model reduction for complex dynamical systems , 2009 .
[9] Stefan Volkwein,et al. Galerkin proper orthogonal decomposition methods for parameter dependent elliptic systems , 2007 .
[10] Daniel Peterseim,et al. Oversampling for the Multiscale Finite Element Method , 2012, Multiscale Model. Simul..
[11] Gedeon Dagan. SECOND-ORDER THEORY OF SHALLOW FREE-SURFACE FLOW IN POROUS MEDIA , 1967 .
[12] Oliver Sander,et al. Unsaturated subsurface flow with surface water and nonlinear in- and outflow conditions , 2013, 1301.2488.
[13] Simona Perotto,et al. Hierarchical Local Model Reduction for Elliptic Problems: A Domain Decomposition Approach , 2010, Multiscale Model. Simul..
[14] Mario Ohlberger,et al. The method of freezing as a new tool for nonlinear reduced basis approximation of parameterized evolution equations , 2013, 1304.4513.
[15] Virginie Ehrlacher,et al. Convergence of a greedy algorithm for high-dimensional convex nonlinear problems , 2010, 1004.0095.
[16] Ronald DeVore,et al. Greedy Algorithms for Reduced Bases in Banach Spaces , 2012, Constructive Approximation.
[17] Francisco Chinesta,et al. A new family of solvers for some classes of multidimensional partial differential equations encountered in kinetic theory modeling of complex fluids , 2006 .
[18] Simona Perotto,et al. Hierarchical Model (Hi-Mod) Reduction in Non-rectilinear Domains , 2014 .
[19] Mario Ohlberger,et al. A new hierarchical model reduction-reduced basis technique for advection-diffusion-reaction problems , 2012 .
[20] A. Nouy. A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations , 2007 .
[21] A. Patera,et al. Reduced basis approximation and a posteriori error estimation for affinely parametrized elliptic coercive partial differential equations , 2007 .
[22] Mario Ohlberger,et al. Hierarchical model reduction of nonlinear partial differential equations based on the adaptive empirical projection method and reduced basis techniques , 2014, 1401.0851.
[23] Elías Cueto,et al. PGD-Based Modeling of Materials, Structures and Processes , 2014 .
[24] Bernard Haasdonk,et al. A training set and multiple bases generation approach for parameterized model reduction based on adaptive grids in parameter space , 2011 .
[25] Wolfgang Dahmen,et al. Adaptive Petrov-Galerkin Methods for First Order Transport Equations , 2011, SIAM J. Numer. Anal..
[26] Simona Perotto,et al. Hierarchical Model Reduction for Advection-Diffusion-Reaction Problems , 2008 .
[27] Mario Ohlberger,et al. A Dimensional Reduction Approach Based on the Application of Reduced Basis Methods in the Framework of Hierarchical Model Reduction , 2014, SIAM J. Sci. Comput..
[28] Mario Ohlberger,et al. Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing , 2013 .
[29] J. Bear. Dynamics of Fluids in Porous Media , 1975 .
[30] Bernard Haasdonk,et al. Adaptive Basis Enrichment for the Reduced Basis Method Applied to Finite Volume Schemes , 2008 .
[31] Ivo Babuška,et al. On a dimensional reduction method. III. A posteriori error estimation and an adaptive approach , 1981 .
[32] Y. Maday,et al. Results and Questions on a Nonlinear Approximation Approach for Solving High-dimensional Partial Differential Equations , 2008, 0811.0474.
[33] N. Nguyen,et al. An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations , 2004 .