Numerical Challenges in the Use of Polynomial Chaos Representations for Stochastic Processes. - Bert J. Debusschere; Habib N. Najm; Philippe P. Pébay; Omar M. Knio; Roger G. Ghanem; Olivier P. Le Maître (SIAM J. Sci. Comput., 2004)

Natural Convection in a Closed Cavity under Stochastic Non-Boussinesq Conditions. - Olivier P. Le Maître; M. T. Reagan; Bert J. Debusschere; Habib N. Najm; Roger G. Ghanem; Omar M. Knio (SIAM J. Sci. Comput., 2004)

A stochastic particle-mesh scheme for uncertainty propagation in vortical flows. - Olivier P. Le Maître; Omar M. Knio (J. Comput. Phys., 2007)

Multi-Resolution-Analysis Scheme for Uncertainty Quantification in Chemical Systems. - Olivier P. Le Maître; Habib N. Najm; Philippe P. Pébay; Roger G. Ghanem; Omar M. Knio (SIAM J. Sci. Comput., 2007)

Generalized spectral decomposition for stochastic nonlinear problems. - Anthony Nouy; Olivier P. Le Maître (J. Comput. Phys., 2009)

Polynomial chaos expansion for sensitivity analysis. - Thierry Crestaux; Olivier P. Le Maître; Jean-Marc Martinez (Reliab. Eng. Syst. Saf., 2009)

Roe solver with entropy corrector for uncertain hyperbolic systems. - J. Tryoen; Olivier P. Le Maître; Michael Ndjinga; Alexandre Ern (J. Comput. Appl. Math., 2010)

A numerical method for the simulation of low Mach number liquid-gas flows. - V. Daru; P. Le Quéré; M.-C. Duluc; Olivier P. Le Maître (J. Comput. Phys., 2010)

Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems. - J. Tryoen; Olivier P. Le Maître; Michael Ndjinga; Alexandre Ern (J. Comput. Phys., 2010)

Spectral Representation and Reduced Order Modeling of the Dynamics of Stochastic Reaction Networks via Adaptive Data Partitioning. - Khachik Sargsyan; Bert J. Debusschere; Habib N. Najm; Olivier P. Le Maître (SIAM J. Sci. Comput., 2010)

Multiscale Stochastic Preconditioners in Non-intrusive Spectral Projection. - Alen Alexanderian; Olivier P. Le Maître; Habib N. Najm; Mohamed Iskandarani; Omar M. Knio (J. Sci. Comput., 2012)

Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws. - J. Tryoen; Olivier P. Le Maître; Alexandre Ern (SIAM J. Sci. Comput., 2012)

A Parallel Solver for Incompressible Fluid Flows. - Yushan Wang; Marc Baboulin; Jack J. Dongarra; Joël Falcou; Yann Fraigneau; Olivier P. Le Maître (ICCS, 2013)

Solving 3D incompressible Navier-Stokes equations on hybrid CPU/GPU systems. - Yushan Wang; Marc Baboulin; Karl Rupp; Olivier P. Le Maître; Yann Fraigneau (SpringSim (HPS), 2014)

Preconditioned Bayesian Regression for Stochastic Chemical Kinetics. - Alen Alexanderian; Francesco Rizzi; Muruhan Rathinam; Olivier P. Le Maître; Omar M. Knio (J. Sci. Comput., 2014)

Model Reduction Based on Proper Generalized Decomposition for the Stochastic Steady Incompressible Navier-Stokes Equations. - Lorenzo Tamellini; Olivier P. Le Maître; Anthony Nouy (SIAM J. Sci. Comput., 2014)

PC analysis of stochastic differential equations driven by Wiener noise. - Olivier P. Le Maître; Omar M. Knio (Reliab. Eng. Syst. Saf., 2015)

Fault Resilient Domain Decomposition Preconditioner for PDEs. - Khachik Sargsyan; Francesco Rizzi; Paul Mycek; Cosmin Safta; Karla Morris; Habib N. Najm; Olivier P. Le Maître; Omar M. Knio; Bert J. Debusschere (SIAM J. Sci. Comput., 2015)

ULFM-MPI Implementation of a Resilient Task-Based Partial Differential Equations Preconditioner. - Francesco Rizzi; Karla Morris; Khachik Sargsyan; Paul Mycek; Cosmin Safta; Bert J. Debusschere; Olivier P. Le Maître; Omar M. Knio (FTXS@HPDC, 2016)

Performance Scaling Variability and Energy Analysis for a Resilient ULFM-based PDE Solver. - Karla Morris; Francesco Rizzi; Brendan Cook; Paul Mycek; Olivier P. Le Maître; Omar M. Knio; Khachik Sargsyan; Kathryn Dahlgren; Bert J. Debusschere (ScalA@SC, 2016)

Scalability of Partial Differential Equations Preconditioner Resilient to Soft and Hard Faults. - Karla Morris; Francesco Rizzi; Khachik Sargsyan; Kathryn Dahlgren; Paul Mycek; Cosmin Safta; Olivier P. Le Maître; Omar M. Knio; Bert J. Debusschere (ISC, 2016)

Sparse Pseudo Spectral Projection Methods with Directional Adaptation for Uncertainty Quantification. - Justin Winokur; Daesang Kim; Fabrizio Bisetti; Olivier P. Le Maître; Omar M. Knio (J. Sci. Comput., 2016)

A Newton-Galerkin Method for Fluid Flow Exhibiting Uncertain Periodic Dynamics. - Michael Schick; Vincent Heuveline; Olivier P. Le Maître (SIAM Rev., 2016)

Particle Simulation of Fractional Diffusion Equations. - S. Allouch; M. Lucchesi; Olivier P. Le Maître; K. A. Mustapha 001; Omar M. Knio (CoRR, 2017)

A resilient domain decomposition polynomial chaos solver for uncertain elliptic PDEs. - Paul Mycek; Andres Contreras; Olivier P. Le Maître; Khachik Sargsyan; Francesco Rizzi; Karla Morris; Cosmin Safta; Bert J. Debusschere; Omar M. Knio (Comput. Phys. Commun., 2017)

Nonintrusive Polynomial Chaos Expansions for Sensitivity Analysis in Stochastic Differential Equations. - M. Navarro Jimenez; Olivier P. Le Maître; Omar M. Knio (SIAM/ASA J. Uncertain. Quantification, 2017)

Discrete A Priori Bounds for the Detection of Corrupted PDE Solutions in Exascale Computations. - Paul Mycek; Francesco Rizzi; Olivier P. Le Maître; Khachik Sargsyan; Karla Morris; Cosmin Safta; Bert J. Debusschere; Omar M. Knio (SIAM J. Sci. Comput., 2017)

Optimal projection of observations in a Bayesian setting. - Loïc Giraldi; Olivier P. Le Maître; Ibrahim Hoteit; Omar M. Knio (Comput. Stat. Data Anal., 2018)

Partial differential equations preconditioner resilient to soft and hard faults. - Francesco Rizzi; Karla Morris; Khachik Sargsyan; Paul Mycek; Cosmin Safta; Olivier P. Le Maître; Omar M. Knio; Bert J. Debusschere (Int. J. High Perform. Comput. Appl., 2018)

Exploring the interplay of resilience and energy consumption for a task-based partial differential equations preconditioner. - Francesco Rizzi; Karla Morris; Khachik Sargsyan; Paul Mycek; Cosmin Safta; Olivier P. Le Maître; Omar M. Knio; Bert J. Debusschere (Parallel Comput., 2018)

Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations. Part A: Local Karhunen-Loève Representations. - Andres Contreras; Paul Mycek; Olivier P. Le Maître; Francesco Rizzi; Bert J. Debusschere; Omar M. Knio (SIAM J. Sci. Comput., 2018)

Parallel Domain Decomposition Strategies for Stochastic Elliptic Equations Part B: Accelerated Monte Carlo Sampling with Local PC Expansions. - Andres Contreras; Paul Mycek; Olivier P. Le Maître; Francesco Rizzi; Bert J. Debusschere; Omar M. Knio (SIAM J. Sci. Comput., 2018)

Polynomial Chaos Level Points Method for One-Dimensional Uncertain Steep Problems. - Pierre Sochala; Olivier P. Le Maître (J. Sci. Comput., 2019)

A surrogate-based optimal likelihood function for the Bayesian calibration of catalytic recombination in atmospheric entry protection materials. - Anabel del Val; Olivier P. Le Maître; Olivier Chazot; Thierry E. Magin; Pietro Marco Congedo (CoRR, 2020)

Second order linear differential equations with analytic uncertainties: Stochastic analysis via the computation of the probability density function. - Marc Jornet; Julia Calatayud Gregori; Olivier P. Le Maître; Juan Carlos Cortés (J. Comput. Appl. Math., 2020)

A second-order accurate numerical scheme for a time-fractional Fokker-Planck equation. - Kassem Mustapha 001; Omar M. Knio; Olivier P. Le Maître (CoRR, 2021)

Sample average approximation for risk-averse problems: A virtual power plant scheduling application. - Ricardo M. Lima; Antonio J. Conejo; Loïc Giraldi; Olivier P. Le Maître; Ibrahim Hoteit; Omar M. Knio (EURO J. Comput. Optim., 2021)

Risk-Averse Stochastic Programming vs. Adaptive Robust Optimization: A Virtual Power Plant Application. - Ricardo M. Lima; Antonio J. Conejo; Loïc Giraldi; Olivier P. Le Maître; Ibrahim Hoteit; Omar M. Knio (INFORMS J. Comput., 2022)

Ensemble Data Assimilation for Particle-based Methods. - Marius Duvillard; Loïc Giraldi; Olivier P. Le Maître (CoRR, 2024)

Change of measure for Bayesian field inversion with hierarchical hyperparameters sampling. - Nadège Polette; Olivier P. Le Maître; Pierre Sochala; Alexandrine Gesret (J. Comput. Phys., 2025)