Spectral methods for uncertainty quantification: with applications to computational fluid dynamics O Le Maître, OM Knio Springer Science & Business Media, 2010 | 1901 | 2010 |
Polynomial chaos expansion for sensitivity analysis T Crestaux Reliability Engineering & System Safety 94 (7), 1161-1172, 2009 | 850 | 2009 |
Numerical challenges in the use of polynomial chaos representations for stochastic processes BJ Debusschere, HN Najm, PP Pébay, OM Knio, RG Ghanem, OPL Maître SIAM Journal on Scientific Computing 26 (2), 698-719, 2005 | 617 | 2005 |
Uncertainty propagation using Wiener–Haar expansions OP Le Maıtre, OM Knio, HN Najm, RG Ghanem Journal of computational Physics 197 (1), 28-57, 2004 | 561 | 2004 |
A stochastic projection method for fluid flow: I. basic formulation OM Knio, HN Najm, RG Ghanem Journal of Computational Physics 173 (2), 481-511, 2001 | 508 | 2001 |
A stochastic projection method for fluid flow: II. Random process OP Le Maıtre, MT Reagan, HN Najm, RG Ghanem, OM Knio Journal of computational Physics 181 (1), 9-44, 2002 | 454 | 2002 |
Multi-resolution analysis of Wiener-type uncertainty propagation schemes OP Le Maıtre, HN Najm, RG Ghanem, OM Knio Journal of Computational Physics 197 (2), 502-531, 2004 | 426 | 2004 |
Uncertainty propagation in CFD using polynomial chaos decomposition OM Knio, OP Le Maītre Fluid Dynamics Research 38 (9), 616-640, 2006 | 351 | 2006 |
Generalized spectral decomposition for stochastic nonlinear problems A Nouy, O Le Maitre Journal of Computational Physics 228 (1), 202-235, 2009 | 180 | 2009 |
Uncertainty quantification in chemical systems HN Najm, BJ Debusschere, YM Marzouk, S Widmer, OP Le Maître International journal for numerical methods in engineering 80 (6‐7), 789-814, 2009 | 170 | 2009 |
Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems J Tryoen, O Le Maitre, M Ndjinga, A Ern Journal of Computational Physics 229 (18), 6485-6511, 2010 | 166 | 2010 |
Spectral stochastic uncertainty quantification in chemical systems MT Reagan, HN Najm, BJ Debusschere, OP Le Maître, OM Knio, ... Combustion Theory and Modelling 8 (3), 607, 2004 | 130 | 2004 |
Multi-resolution-analysis scheme for uncertainty quantification in chemical systems OP Le Maître, HN Najm, PP Pébay, RG Ghanem, OM Knio SIAM Journal on Scientific Computing 29 (2), 864-889, 2007 | 113 | 2007 |
Protein labeling reactions in electrochemical microchannel flow: Numerical simulation and uncertainty propagation BJ Debusschere, HN Najm, A Matta, OM Knio, RG Ghanem, OP Le Maıtre Physics of fluids 15 (8), 2238-2250, 2003 | 99 | 2003 |
A multigrid solver for two-dimensional stochastic diffusion equations OP Le Maıtre, OM Knio, BJ Debusschere, HN Najm, RG Ghanem Computer Methods in Applied Mechanics and Engineering 192 (41-42), 4723-4744, 2003 | 95 | 2003 |
Dual-based a posteriori error estimate for stochastic finite element methods L Mathelin, O Le Maître Communications in Applied Mathematics and Computational Science 2 (1), 83-115, 2007 | 71 | 2007 |
Polynomial Chaos expansion for subsurface flows with uncertain soil parameters P Sochala, OP Le Maître Advances in water resources 62, 139-154, 2013 | 60 | 2013 |
Asynchronous time integration for polynomial chaos expansion of uncertain periodic dynamics OP Le Maître, L Mathelin, OM Knio, MY Hussaini Discrete and Continuous Dynamical Systems 28 (1), 199-226, 2010 | 60 | 2010 |
Model reduction based on proper generalized decomposition for the stochastic steady incompressible Navier--Stokes equations L Tamellini, O Le Maitre, A Nouy SIAM Journal on Scientific Computing 36 (3), A1089-A1117, 2014 | 57 | 2014 |
Adaptive anisotropic spectral stochastic methods for uncertain scalar conservation laws J Tryoen, OL Maître, A Ern SIAM Journal on Scientific Computing 34 (5), A2459-A2481, 2012 | 57 | 2012 |