Results 161 to 170 of about 31,846 (223)
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Polynomial Chaos Expansions for Stiff Random ODEs
SIAM Journal on Scientific Computing, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenjie Shi, Daniel M. Tartakovsky
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IEEE Transactions on Power Systems, 2022
This paper presents a new algorithm based on the partial least square (PLS) techniques and the arbitrary polynomial chaos expansion (aPCE) for the probabilistic power flow (PPF) analysis of a power system having many uncertain variables.
Jirasak Laowanitwattana, S. Uatrongjit
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This paper presents a new algorithm based on the partial least square (PLS) techniques and the arbitrary polynomial chaos expansion (aPCE) for the probabilistic power flow (PPF) analysis of a power system having many uncertain variables.
Jirasak Laowanitwattana, S. Uatrongjit
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Multivariate Polynomial Chaos Expansions with Dependent Variables
SIAM Journal on Scientific Computing, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Feinberg, Jonathan +2 more
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Reliability Engineering & System Safety, 2021
In complex stochastic high-dimensional reliability studies, polynomial chaos expansion (PCE) has been widely used to build surrogate models in lieu of prohibitively expensive Monte Carlo simulation (MCS).
H. Lim, L. Manuel
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In complex stochastic high-dimensional reliability studies, polynomial chaos expansion (PCE) has been widely used to build surrogate models in lieu of prohibitively expensive Monte Carlo simulation (MCS).
H. Lim, L. Manuel
semanticscholar +1 more source
, 2021
Polynomial chaos expansion (PCE) is a versatile tool for building a meta-model in various engineering fields. Unfortunately, it is largely affected by the curse of dimensionality and its application for reliability analysis is usually hindered unless ...
Yu Zhang, Jun Xu
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Polynomial chaos expansion (PCE) is a versatile tool for building a meta-model in various engineering fields. Unfortunately, it is largely affected by the curse of dimensionality and its application for reliability analysis is usually hindered unless ...
Yu Zhang, Jun Xu
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Mechanical systems and signal processing, 2021
Polynomial chaos expansion (PCE) is widely used in a variety of engineering fields for uncertainty and sensitivity analyses. The computational cost of full PCE is unaffordable due to the ‘curse of dimensionality’ of the expansion coefficients.
Jian Zhang +4 more
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Polynomial chaos expansion (PCE) is widely used in a variety of engineering fields for uncertainty and sensitivity analyses. The computational cost of full PCE is unaffordable due to the ‘curse of dimensionality’ of the expansion coefficients.
Jian Zhang +4 more
semanticscholar +1 more source
Computer Methods in Applied Mechanics and Engineering
We present a novel physics-constrained polynomial chaos expansion as a surrogate modeling method capable of performing both scientific machine learning (SciML) and uncertainty quantification (UQ) tasks.
H. Sharma +2 more
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We present a novel physics-constrained polynomial chaos expansion as a surrogate modeling method capable of performing both scientific machine learning (SciML) and uncertainty quantification (UQ) tasks.
H. Sharma +2 more
semanticscholar +1 more source
, 2021
Correlated random variables are common in industry field. In reliability analysis community, Nataf transformation is considered as a powerful tool for handling correlated random variables, since it only requires the marginal probability distribution ...
Wanxin He, P. Hao, Gang Li
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Correlated random variables are common in industry field. In reliability analysis community, Nataf transformation is considered as a powerful tool for handling correlated random variables, since it only requires the marginal probability distribution ...
Wanxin He, P. Hao, Gang Li
semanticscholar +1 more source
Polynomial chaos expansion for sensitivity analysis
Reliability Engineering & System Safety, 2009Abstract In this paper, the computation of Sobol's sensitivity indices from the polynomial chaos expansion of a model output involving uncertain inputs is investigated. It is shown that when the model output is smooth with regards to the inputs, a spectral convergence of the computed sensitivity indices is achieved.
Thierry Crestaux +2 more
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Water Resources Research, 2021
The use of polynomial chaos expansion (PCE) has gained a lot of attention due to its ability to efficiently estimate the effects of parameter uncertainty on model outputs.
Maysara Ghaith, Zhong Li, B. Baetz
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The use of polynomial chaos expansion (PCE) has gained a lot of attention due to its ability to efficiently estimate the effects of parameter uncertainty on model outputs.
Maysara Ghaith, Zhong Li, B. Baetz
semanticscholar +1 more source