Virtual charts of solutions for parametrized nonlinear equations

Nonlinear Model Reduction via Discrete Empirical Interpolation

Saifon Chaturantabut, Danny C. Sorensen · SIAM Journal on Scientific Computing · 2010 · 1.9K citations

Computing, Computational Engineering, Computational Fluid Dynamics +15

An ‘empirical interpolation’ method: application to efficient reduced-basis discretization of partial differential equations

Maxime Barrault, Yvon Maday, Ngoc Cuong Nguyen et al. · Comptes Rendus Mathématique · 2004 · 1.5K citations

Natural Sciences, Physics, Computational Mechanics +13

Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations

Gianluigi Rozza, D.B.P. Huynh, A.T. Patera · Archives of Computational Methods in Engineering · 2008 · 1.1K citations · Full text

Computing, Computer Science, Mathematics +16

Efficient reduced-basis treatment of nonaffine and nonlinear partial differential equations

Martin Grepl, Yvon Maday, Ngoc Cuong Nguyen et al. · ESAIM Mathematical Modelling and Numerical Analysis · 2007 · 503 citations · Full text

Natural Sciences, Mathematics, Computational Fluid Dynamics +9

A priori hyperreduction method: an adaptive approach

David Ryckelynck · Journal of Computational Physics · 2004 · 378 citations · Full text

Computing, Computer Science, Algorithms +2