Results 101 to 110 of about 3,355 (214)

Sparse polynomial chaos expansion for high-dimensional uncertainty quantification of braided shielded cables

This paper proposes the use of a sparse polynomial chaos expansion method, whose set of basis functions is sparsified using the hyperbolic truncation scheme.
Ferranti F., Jiang H., Antonini G.
core   +1 more source

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

Bayesian Adaptive Polynomial Chaos Expansions

Stat
ABSTRACT Polynomial chaos expansions (PCEs) are widely used for uncertainty quantification (UQ) tasks, particularly in the applied mathematics community. However, PCE has received comparatively less attention in the statistics literature, and fully Bayesian formulations remain rare—especially with implementations ...
Rumsey, Kellin N., Francom, Devin, Gibson, Graham C., Tucker, J. Derek, Huerta, Gabriel   +4 more
openaire   +2 more sources

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

Polynomial chaos expansion in structural dynamics: accelerating the convergence of the first two statistical moment sequences

, 2015
Polynomial chaos solution for the frequency response of linear non-proportionally damped dynamic systems has been considered. It has been observed that for lightly damped systems the convergence of the solution can be very poor in the vicinity of the ...
Jacquelin, E., Sinou, J. -J., Friswell, Michael I, Adhikari, S., Friswell, M. I., Jacquelin, Eric, Adhikari, Sondipon, Sinou, Jean-Jacques   +7 more
core   +1 more source

Conformalized polynomial chaos expansion for uncertainty-aware surrogate modeling

This work introduces a method to equip data-driven polynomial chaos expansion surrogate models with intervals that quantify the predictive uncertainty of the surrogate. To that end, jackknife-based conformal prediction is integrated into regression-based
Giovanis, D.G. (Dimitris G.), Loukrezis, D. (Dimitris)   +1 more
core   +1 more source

Time-Dependent Polynomial Chaos

, 2006
Generalized polynomial chaos is known to fail for long-term integration, loosing its optimal convergence behavior and developing unacceptable error-levels.
Vos, P. (author)
core  

A splitting/polynomial chaos expansion approach for stochastic evolution equations.

, 2020
In this paper, we combine deterministic splitting methods with a polynomial chaos expansion method for solving stochastic parabolic evolution problems. The stochastic differential equation is reduced to a system of deterministic equations that we solve ...
Kofler, Andreas, Levajković, Tijana; orcid:, Ostermann, Alexander, Mena, Hermann   +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

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