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Global sensitivity analysis for medium-dimensional structural engineering problems using stochastic collocation

Reliability Engineering and System Safety, 2020
For many engineering problems, it is important to know which random input variables have significant influence on relevant outputs, since, for example, these inputs are of special interest in optimisation tasks or their uncertainty can significantly ...
C. Hübler
semanticscholar   +3 more sources

A Stochastic Collocation Algorithm with Multifidelity Models

SIAM Journal on Scientific Computing, 2014
We present a numerical method for utilizing stochastic models with differing fideli- ties to approximate parameterized functions. A representative case is where a high-fidelity and a low-fidelity model are available. The low-fidelity model represents a coarse and rather crude ap- proximation to the underlying physical system.
Akil Narayan   +2 more
openaire   +3 more sources

Evaluation of Designed Distributions for Stochastic Collocation Methods

AIAA SCITECH 2023 Forum, 2023
Edwin E. Forster   +2 more
openaire   +2 more sources

Uncertainty Quantification of RF Circuits Using Stochastic Collocation Techniques

IEEE Electromagnetic Compatibility Magazine, 2022
This paper presents a study on the Polynomial Chaos based approach for uncertainty quantification. It discusses employing different polynomial chaos based techniques for uncertainty quantification of RF circuits.
Aksh Chordia, J. Tripathi
semanticscholar   +1 more source

STOCHASTIC COLLOCATION ALGORITHMS USING l1-MINIMIZATION

International Journal for Uncertainty Quantification, 2012
Summary: The idea of \(\ell_1\)-minimization is the basis of the widely adopted compressive sensing method for function approximation. In this paper, we extend its application to high-dimensional stochastic collocation methods. To facilitate practical implementation, we employ orthogonal polynomials, particularly Legendre polynomials, as basis ...
Yan, Liang, Guo, Ling, Xiu, Dongbin
openaire   +2 more sources

Uncertainty Quantification of a CMOS Oscillator using Stochastic Collocation Techniques

2021 IEEE International Joint EMC/SI/PI and EMC Europe Symposium, 2021
In recent years, stochastic techniques have emerged as computationally superior techniques for Uncertainty Quantification (UQ). This paper focuses on the application of different stochastic techniques based on Stochastic Collocation (SC) for UQ.
Aksh Chordia, J. Tripathi
semanticscholar   +1 more source

Global Sensitivity Analysis for Stochastic Collocation

51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference<BR> 18th AIAA/ASME/AHS Adaptive Structures Conference<BR> 12th, 2010
Non-intrusive stochastic expansion methods for uncertainty quantication (UQ) has received a great deal of attention the past decade because of their rigorous mathematical foundations and their ability to e ciently accurately characterize the probablilistic metrics of complex engineering systems.
Gary Tang   +2 more
openaire   +1 more source

Unscented transform and stochastic collocation methods for stochastic electromagnetic compatibility

CEM'11 Computational Electromagnetics International Workshop, 2011
This paper deals with the current growing interest concerning the use of stochastic techniques for electromagnetic compatability (EMC) issues. Various methods allow to face this problem: obviously, we may focus on the Monte Carlo (MC) formalism but other techniques have been implemented more recently (the unscented transform, UT, or stochastic ...
Sebastien Lallechere   +3 more
openaire   +1 more source

Nested sparse-grid Stochastic Collocation Method for uncertainty quantification of blade stagger angle

Energy, 2020
In the present paper, the Nested Sparse-grid Stochastic Collocation Method (NSSCM) is utilized to investigate the uncertain effects of stochastic blade stagger angles on the aerodynamic performance of the turbine blade.
Wang Kun   +3 more
semanticscholar   +1 more source

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