An efficient metamodeling approach for uncertainty quantification of complex systems with arbitrary parameter probability distributions

A residual-based Gaussian process model framework for finite element model updating

(2015) Hua-Ping Wan et al.   COMPUTERS & STRUCTURES

A new uncertain analysis method and its application in vehicle dynamics

(2015) Jinglai Wu et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Adaptive-sparse polynomial dimensional decomposition methods for high-dimensional stochastic computing

(2014) Vaibhav Yadav et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Analytical uncertainty quantification for modal frequencies with structural parameter uncertainty using a Gaussian process metamodel

(2014) Hua-Ping Wan et al.   ENGINEERING STRUCTURES

A hybrid spectral and metamodeling approach for the stochastic finite element analysis of structural dynamic systems

(2013) A. Kundu et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Uncertainty quantification for algebraic systems of equations

(2013) R.H. Lopez et al.   COMPUTERS & STRUCTURES

Stochastic structural dynamic analysis using Bayesian emulators

(2013) F.A. DiazDelaO et al.   COMPUTERS & STRUCTURES

A spectral approach for fuzzy uncertainty propagation in finite element analysis

(2013) S. Adhikari et al.   FUZZY SETS AND SYSTEMS

Uncertainty quantification of high-dimensional complex systems by multiplicative polynomial dimensional decompositions

(2013) Vaibhav Yadav et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Multi-output separable Gaussian process: Towards an efficient, fully Bayesian paradigm for uncertainty quantification

(2013) Ilias Bilionis et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Selection of polynomial chaos bases via Bayesian model uncertainty methods with applications to sparse approximation of PDEs with stochastic inputs

(2013) Georgios Karagiannis et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Gradient-based methods for uncertainty quantification in hypersonic flows

(2012) Brian Lockwood et al.   COMPUTERS & FLUIDS

An invariant subspace-based approach to the random eigenvalue problem of systems with clustered spectrum

(2012) Debraj Ghosh et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion

(2012) S. Oladyshkin et al.   RELIABILITY ENGINEERING & SYSTEM SAFETY

Gaussian process emulators for the stochastic finite element method

(2011) F. A. DiazDelaO et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Probabilistic uncertainty analysis of an FRF of a structure using a Gaussian process emulator

(2011) Thomas E. Fricker et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Variance based sensitivity analysis of model output. Design and estimator for the total sensitivity index

(2009) Andrea Saltelli et al.   COMPUTER PHYSICS COMMUNICATIONS

An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations

(2009) Xiang Ma et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics

(2008) Habib N. Najm   Annual Review of Fluid Mechanics