Development of numerical methods for the analysis of models parametric uncertainties; in particular stochastic spectral methods and multi-resolution schemes with associated solvers and algorithms for Galerkin and non-intrusive methods.
Application of these methods to complex flow models, system of conservation equations, elliptic problems and reactive systems.
Selected Publications
O. Le Maître and O. Knio, Stochastic Spectral Methods for Uncertainty Quantication with Applications to Computational Fluid Dynamics, Series on Scientific Computation, Springer, 520 pages, (2010).
J. Tryoen, O. Le Maître and A. Ern, Adaptive Anisotropic Spectral Stochastic Methods for Uncertain Scalar Conservation Laws, SIAM J. Sci. Comp.,34:5, pp. 2459-2481, (2012).
A. Alexanderian, O.P. Le Maître, H.N. Najm, M. Iskandarani and O.M. Knio, Multiscale stochastic preconditionners in non-intrusive spectral projection, J. Scientific Computing, 50:7, pp. 306-340, (2012).
J. Tryoen, O. Le Maître, M. Ndjinga and A. Ern, Intrusive Galerkin Methods with Upwinding for Uncertain Nonlinear hyperbolic systems, J. Computational Physics, 228:18, pp. 6485-6511, (2010).
O.P. Le Maître, L. Mathelin, O.M. Knio and M.Y. Hussaini, Asynchronous Time Integration for Polynomial Chaos Expansion of Uncertain Periodic Dynamics, Discrete and Continuous Dynamical Systems, 28:1, pp. 199-226,(2010).
Education
PhD, Le Havre, France, 1998
Habilitation, Université d'Evry, France, 2006.
Professional Profile
Professor Université d'Evry, France (1998-2007)
CNRS Researcher, LIMSI, France (2007-2011)
CNRS Research Director, LIMSI, France (2011-Pres.)
Scientific and Professional Membership
CNRS Research Director, LIMSI, France (2011-Pres.)
CNRS Researcher, LIMSI, France (2007-2011)
Professor Université d'Evry, France (1998-2007)
KAUST Affiliations
LIMSI-CNRS, Orsay, France
Duke University, Mechanical Engineering and Materials Science Department
