Results 101 to 110 of about 30,004 (201)

On fractional moment estimation from polynomial chaos expansion

Reliability Engineering & System Safety
Fractional statistical moments are utilized for various tasks of uncertainty quantification, including the estimation of probability distributions. However, an estimation of fractional statistical moments of costly mathematical models by statistical sampling is challenging since it is typically not possible to create a large experimental design due to ...
Lukáš Novák, Marcos Valdebenito, Matthias Faes   +2 more
openaire   +2 more sources

Bifurcation Analysis with Aerodynamic-Structure Uncertainties by the Nonintrusive PCE Method

International Journal of Aerospace Engineering, 2017
An aeroelastic model for airfoil with a third-order stiffness in both pitch and plunge degree of freedom (DOF) and the modified Leishman–Beddoes (LB) model were built and validated.
Linpeng Wang, Yuting Dai, Chao Yang
doaj   +1 more source

Buckling Sensitivity of Tow-Steered Plates Subjected to Multiscale Defects by High-Order Finite Elements and Polynomial Chaos Expansion. [PDF]

Materials (Basel), 2021
Sanchez-Majano AR, Pagani A, Petrolo M, Zhang C.   +3 more
europepmc   +1 more source

Motion Planning of Uncertain Ordinary Differential Equation Systems [PDF]

, 2011
This work presents a novel motion planning framework, rooted in nonlinear programming theory, that treats uncertain fully and under-actuated dynamical systems described by ordinary differential equations.
Hays, Joe, Hong, Dennis, Sandu, Adrian, Sandu, Corina   +3 more
core   +1 more source

Uncertainty evaluation of surface profile measurement error based on adaptive sparse grid polynomial chaos expansion

Advances in Mechanical Engineering
To address the challenge of balancing accuracy and computational efficiency in evaluating the measurement error and uncertainty of surface profile errors on complex free-form surfaces, this paper proposes an evaluation method combining adaptive sparse ...
Ke Zhang, Xinya Zheng, Ruiyu Zhang
doaj   +1 more source

Sparse polynomial chaos expansion for universal stochastic kriging

Journal of Computational and Applied Mathematics
Surrogate modelling techniques have opened up new possibilities to overcome the limitations of computationally intensive numerical models in various areas of engineering and science. However, while fundamental in many engineering applications and decision-making, the incorporation of uncertainty quantification into meta-models remains a challenging ...
J.C. García-Merino, C. Calvo-Jurado, E. García-Macías   +2 more
openaire   +4 more sources

Polynomial Chaos Expansion Based Rauch–Tung–Striebel Smoothers

2024 27th International Conference on Information Fusion (FUSION)
Peer ...
Kumar Kundan, Särkkä Simo
openaire   +2 more sources

Uncertainty Quantification at the Molecular–Continuum Model Interface †

Fluids, 2017
Non-equilibrium molecular dynamics simulations are widely employed to study transport fluid properties. Observables measured at the atomistic level can serve as inputs for continuum calculations, allowing for improved analysis of phenomena involving ...
Małgorzata J. Zimoń, Robert Sawko, David R. Emerson, Christopher Thompson   +3 more
doaj   +1 more source

Combining Polynomial Chaos Expansions and Kriging

, 2014
Computer simulation has emerged as a key tool for designing and assessing engineeringsystems in the last two decades. Uncertainty quantification has becomepopular more recently as a way to model all the uncertainties affecting the systemand their impact onto its performance.In this respect meta-models (a.k.a.
Schöbi, R., Kersaudy, P., Sudret, B., Wiart, J.   +3 more
openaire   +1 more source

STOCHASTIC FINITE ELEMENT MODEL UPDATING BASED ON POLYNOMIAL CHAOTIC EXPANSION AND KL DIVERGENCE

Jixie qiangdu, 2021
Considering the influence of structural parameter uncertainty on response and the problem of large calculation of stochastic model updating, a stochastic finite element model updating method based on polynomial chaotic expansion and KL divergence is ...
XU ZeWei, PENG ZhenRui, ZHANG YaFeng, BAI Yu   +3 more
doaj