Search Results - "Le Maıˆtre, Olivier P."
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A surrogate-based optimal likelihood function for the Bayesian calibration of catalytic recombination in atmospheric entry protection materials
Published in Applied Mathematical Modelling (01-01-2022)“…•Contribution to the surface heat flux of exothermic recombination reactions remains highly uncertain.•Solving an auxiliary maximum likelihood problem reduces…”
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Quantifying initial and wind forcing uncertainties in the Gulf of Mexico
Published in Computational geosciences (01-10-2016)“…This study aims at analyzing the combined impact of uncertainties in initial conditions and wind forcing fields in ocean general circulation models (OGCM)…”
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Generalized spectral decomposition for stochastic nonlinear problems
Published in Journal of computational physics (10-01-2009)“…We present an extension of the generalized spectral decomposition method for the resolution of nonlinear stochastic problems. The method consists in the…”
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4
Path planning in uncertain flow fields using ensemble method
Published in Ocean dynamics (01-10-2016)“…An ensemble-based approach is developed to conduct optimal path planning in unsteady ocean currents under uncertainty. We focus our attention on…”
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Simultaneous identification of elastic properties, thickness, and diameter of arteries excited with ultrasound radiation force
Published in Physics in medicine & biology (07-07-2015)“…The elastic and geometric properties of arteries have been long recognized as important predictors of cardiovascular disease. This work presents a robust…”
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6
A tangent linear approximation of the ignition delay time. I: Sensitivity to rate parameters
Published in Combustion and flame (01-08-2021)“…A tangent linear approximation is developed to estimate the sensitivity of the ignition delay time with respect to individual rate parameters in a detailed…”
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7
A second-order accurate numerical scheme for a time-fractional Fokker–Planck equation
Published in IMA journal of numerical analysis (03-08-2023)“…Abstract A second-order accurate time-stepping scheme for solving a time-fractional Fokker–Planck equation of order $\alpha \in (0, 1)$, with a general driving…”
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8
A tangent linear approximation of the ignition delay time. II: Sensitivity to thermochemical parameters
Published in Combustion and flame (01-01-2022)“…The tangent linear approximation (TLA) developed in Almohammadi et al. (Combust. Flame 230, 111426) is extended to estimate the sensitivity of the ignition…”
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Uncertainty quantification in a chemical system using error estimate-based mesh adaption
Published in Theoretical and computational fluid dynamics (01-10-2012)“…This paper describes a rigorous a posteriori error analysis for the stochastic solution of non-linear uncertain chemical models. The dual-based a posteriori…”
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Stochastic preconditioning of domain decomposition methods for elliptic equations with random coefficients
Published in Computer methods in applied mechanics and engineering (01-08-2021)“…This paper aims at developing an efficient preconditioned iterative domain decomposition (DD) method for the sampling of linear stochastic elliptic equations…”
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11
Surrogate-based parameter inference in debris flow model
Published in Computational geosciences (01-12-2018)“…This work tackles the problem of calibrating the unknown parameters of a debris flow model with the drawback that the information regarding the experimental…”
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12
Bayesian inference of earthquake parameters from buoy data using a polynomial chaos-based surrogate
Published in Computational geosciences (01-08-2017)“…This work addresses the estimation of the parameters of an earthquake model by the consequent tsunami, with an application to the Chile 2010 event. We are…”
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13
A stochastic particle-mesh scheme for uncertainty propagation in vortical flows
Published in Journal of computational physics (10-09-2007)“…A new mesh-particle scheme is constructed for uncertainty propagation in vortical flow. The scheme is based on the incorporation of polynomial chaos (PC)…”
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14
Multi-model polynomial chaos surrogate dictionary for Bayesian inference in elasticity problems
Published in Probabilistic engineering mechanics (01-10-2016)“…A method is presented for inferring the presence of an inclusion inside a domain; the proposed approach is suitable to be used in a diagnostic device with low…”
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15
Bayesian calibration of order and diffusivity parameters in a fractional diffusion equation
Published in Journal of physics communications (01-08-2021)“…Abstract This work focuses on parameter calibration of a variable-diffusivity fractional diffusion model. A random, spatially-varying diffusivity field with…”
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16
Simplified CSP analysis of a stiff stochastic ODE system
Published in Computer methods in applied mechanics and engineering (01-04-2012)“…We develop a simplified computational singular perturbation (CSP) analysis of a stochastic dynamical system. We focus on the case of parametric uncertainty,…”
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17
Preconditioned Bayesian Regression for Stochastic Chemical Kinetics
Published in Journal of scientific computing (01-03-2014)“…We develop a preconditioned Bayesian regression method that enables sparse polynomial chaos representations of noisy outputs for stochastic chemical systems…”
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18
Coordinate transformation and Polynomial Chaos for the Bayesian inference of a Gaussian process with parametrized prior covariance function
Published in Computer methods in applied mechanics and engineering (01-01-2016)“…This paper addresses model dimensionality reduction for Bayesian inference based on prior Gaussian fields with uncertainty in the covariance function…”
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Stochastic calibration of a carbon nitridation model from plasma wind tunnel experiments using a Bayesian formulation
Published in Carbon (New York) (05-11-2022)“…In this work, we calibrate a carbon nitridation model for a broad span of surface temperatures from existing plasma wind tunnel measurements by accounting for…”
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20
Optimal projection of observations in a Bayesian setting
Published in Computational statistics & data analysis (01-08-2018)“…Optimal dimensionality reduction methods are proposed for the Bayesian inference of a Gaussian linear model with additive noise in presence of overabundant…”
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