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Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics

1, 2010

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Uncertainty propagation using Wiener–Haar expansions

Journal of computational physics, 2004-06, Vol.197 (1), p.28-57

2004

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Multi-resolution analysis of Wiener-type uncertainty propagation schemes

Journal of computational physics, 2004-07, Vol.197 (2), p.502-531

2004

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Uncertainty quantification in MD simulations of concentration driven ionic flow through a silica nanopore. II. Uncertain potential parameters

The Journal of chemical physics, 2013-05, Vol.138 (19), p.194105-194105

2013

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Uncertainty propagation in CFD using polynomial chaos decomposition

Fluid dynamics research, 2006-09, Vol.38 (9), p.616-640

2006

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Investigating the effect of applied pressure on reactive multilayer foil joining

Acta materialia, 2004-10, Vol.52 (18), p.5265-5274

2004

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Uncertainty Quantification in MD Simulations. Part I: Forward Propagation

Multiscale modeling & simulation, 2012-01, Vol.10 (4), p.1428-1459

2012

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Reactive nanostructured foil used as a heat source for joining titanium

Journal of applied physics, 2004-08, Vol.96 (4), p.2336-2342

2004

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Downscaling the 2D Bénard convection equations using continuous data assimilation

Computational geosciences, 2017-06, Vol.21 (3), p.393-410

2017

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Thermal and microstructural effects of welding metallic glasses by self-propagating reactions in multilayer foils

Acta materialia, 2005-08, Vol.53 (13), p.3713-3719

2005

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Uncertainty quantification in MD simulations of concentration driven ionic flow through a silica nanopore. I. Sensitivity to physical parameters of the pore

The Journal of chemical physics, 2013-05, Vol.138 (19), p.194104-194104

2013

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PC analysis of stochastic differential equations driven by Wiener noise

Reliability engineering & system safety, 2015-03, Vol.135, p.107-124

2015

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A hybrid, non-split, stiff/RKC, solver for advection-diffusion-reaction equations and its application to low-Mach number combustion

Combustion theory and modelling, 2019-09, Vol.23 (5), p.935-955

2019

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Bayesian Inference of Atomic Diffusivity in a Binary Ni/Al System Based on Molecular Dynamics

Multiscale modeling & simulation, 2011-01, Vol.9 (1), p.486-512

2011

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Global sensitivity analysis in stochastic simulators of uncertain reaction networks

The Journal of chemical physics, 2016-12, Vol.145 (24), p.244106-244106

2016

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Sparse Pseudo Spectral Projection Methods with Directional Adaptation for Uncertainty Quantification

Journal of scientific computing, 2016-08, Vol.68 (2), p.596-623

2016

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Combining ensemble Kalman filter and multiresolution analysis for efficient assimilation into adaptive mesh models

Computational geosciences, 2019-12, Vol.23 (6), p.1259-1276

2019

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Variance decomposition in stochastic simulators

The Journal of chemical physics, 2015-06, Vol.142 (24), p.244115-244115

2015

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Uncertainty Quantification in MD Simulations. Part II: Bayesian Inference of Force-Field Parameters

Multiscale modeling & simulation, 2012-01, Vol.10 (4), p.1460-1492

2012

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A multigrid solver for two-dimensional stochastic diffusion equations

Computer methods in applied mechanics and engineering, 2003-01, Vol.192 (41), p.4723-4744

2003

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Modeling Low Mach Number Reacting Flow with Detailed Chemistry and Transport

Journal of scientific computing, 2005-10, Vol.25 (1), p.263-287, Article 263

2005

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Modeling and quantitative nanocalorimetric analysis to assess interdiffusion in a Ni/Al bilayer

Journal of applied physics, 2011-12, Vol.110 (12), p.123521-123521-8

2011

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A Stochastic Projection Method for Fluid Flow: II. Random Process

Journal of computational physics, 2002-09, Vol.181 (1), p.9-44

2002

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Particle simulation of space–fractional diffusion equations

Computational particle mechanics, 2020-05, Vol.7 (3), p.491-507

2020

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Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection

Combustion and flame, 2003-02, Vol.132 (3), p.545-555

2003

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Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics

Uncertainty propagation using Wiener–Haar expansions

Multi-resolution analysis of Wiener-type uncertainty propagation schemes

Uncertainty quantification in MD simulations of concentration driven ionic flow through a silica nanopore. II. Uncertain potential parameters

Uncertainty propagation in CFD using polynomial chaos decomposition

Investigating the effect of applied pressure on reactive multilayer foil joining

Uncertainty Quantification in MD Simulations. Part I: Forward Propagation

Reactive nanostructured foil used as a heat source for joining titanium

Downscaling the 2D Bénard convection equations using continuous data assimilation

Thermal and microstructural effects of welding metallic glasses by self-propagating reactions in multilayer foils

Uncertainty quantification in MD simulations of concentration driven ionic flow through a silica nanopore. I. Sensitivity to physical parameters of the pore

PC analysis of stochastic differential equations driven by Wiener noise

A hybrid, non-split, stiff/RKC, solver for advection-diffusion-reaction equations and its application to low-Mach number combustion

Bayesian Inference of Atomic Diffusivity in a Binary Ni/Al System Based on Molecular Dynamics

Global sensitivity analysis in stochastic simulators of uncertain reaction networks

Sparse Pseudo Spectral Projection Methods with Directional Adaptation for Uncertainty Quantification

Combining ensemble Kalman filter and multiresolution analysis for efficient assimilation into adaptive mesh models

Variance decomposition in stochastic simulators

Uncertainty Quantification in MD Simulations. Part II: Bayesian Inference of Force-Field Parameters

A multigrid solver for two-dimensional stochastic diffusion equations

Modeling Low Mach Number Reacting Flow with Detailed Chemistry and Transport

Modeling and quantitative nanocalorimetric analysis to assess interdiffusion in a Ni/Al bilayer

A Stochastic Projection Method for Fluid Flow: II. Random Process

Particle simulation of space–fractional diffusion equations

Uncertainty quantification in reacting-flow simulations through non-intrusive spectral projection

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