An LP empirical quadrature procedure for parametrized functions

Anthony T. Patera; Masayuki Yano

Comptes Rendus. Mathématique, Volume 355 (2017) no. 11 p. 1161-1167

A model-data weak formulation for simultaneous estimation of state and model bias

Masayuki Yano; James D. Penn; Anthony T. Patera

Comptes Rendus. Mathématique, Volume 351 (2013) no. 23 p. 937-941

Regression on parametric manifolds: Estimation of spatial fields, functional outputs, and parameters from noisy data

Anthony T. Patera; Einar M. Rønquist

Comptes Rendus. Mathématique, Volume 350 (2012) no. 9 p. 543-547

A new error bound for reduced basis approximation of parabolic partial differential equations

Karsten Urban; Anthony T. Patera

Comptes Rendus. Mathématique, Volume 350 (2012) no. 3 p. 203-207

A Laplace transform certified reduced basis method; application to the heat equation and wave equation

D.B. Phuong Huynh; David J. Knezevic; Anthony T. Patera

Comptes Rendus. Mathématique, Volume 349 (2011) no. 7 p. 401-405

A posteriori error bounds for the empirical interpolation method

Jens L. Eftang; Martin A. Grepl; Anthony T. Patera

Comptes Rendus. Mathématique, Volume 348 (2010) no. 9 p. 575-579

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

Maxime Barrault; Yvon Maday; Ngoc Cuong Nguyen; Anthony T. Patera

Comptes Rendus. Mathématique, Volume 339 (2004) no. 9 p. 667-672

Reduced-basis approximation of the viscous Burgers equation: rigorous a posteriori error bounds

Karen Veroy; Christophe Prud'homme; Anthony T. Patera

Comptes Rendus. Mathématique, Volume 337 (2003) no. 9 p. 619-624

Global a priori convergence theory for reduced-basis approximations of single-parameter symmetric coercive elliptic partial differential equations

Yvon Maday; Anthony T. Patera; G. Turinici

Comptes Rendus. Mathématique, Volume 335 (2002) no. 3 p. 289-294