Adaptive POD basis computation for parametrized nonlinear systems using optimal snapshot location

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

Numerical Analysis, Elliptic Equation, Engineering +8

Karhunen–Loève procedure for gappy data

Richard Everson, L. Sirovich · Journal of the Optical Society of America A · 1995 · 841 citations

Spectral Theory, Numerical Analysis, Engineering +17

Galerkin Proper Orthogonal Decomposition Methods for a General Equation in Fluid Dynamics

Karl Kunisch, Stefan Volkwein · SIAM Journal on Numerical Analysis · 2002 · 727 citations

Numerical Analysis, Method Of Fundamental Solution, Reduced Order Modeling +14

Aerodynamic Data Reconstruction and Inverse Design Using Proper Orthogonal Decomposition

Tan Bui–Thanh, M. Damodaran, Karen Willcox · AIAA Journal · 2004 · 519 citations

Numerical Analysis, Aeroacoustics, Engineering +18

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 · 497 citations · Full text

Numerical Analysis, Numerical Method For Partial Differential Equation, Reduced Order Modeling +12