Results 151 to 160 of about 53,281 (190)

Multivariate Polynomial Chaos Expansions with Dependent Variables

SIAM Journal on Scientific Computing, 2018
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Feinberg, Jonathan, Eck, Vinzenz Gregor, Langtangen, Hans Petter   +2 more
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ROBUST CHAOS IN POLYNOMIAL UNIMODAL MAPS

International Journal of Bifurcation and Chaos, 2004
Simple polynomial unimodal maps which show robust chaos, that is, a unique chaotic attractor and no periodic windows in their bifurcation diagrams, are constructed. Their invariant distributions and Lyapunov exponents are examined.
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A Polynomial Chaos Approach to Measurement Uncertainty

IEEE Transactions on Instrumentation and Measurement, 2005
Measurement uncertainty is traditionally represented in the form of expanded uncertainty as defined through the Guide to the Expression of Uncertainty in Measurement (GUM). The International Organization for Standardization GUM represents uncertainty through confidence intervals based on the variances and means derived from probability density ...
T. Lovett, F. Ponci, A. Monti
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Stochastic Estimation via Polynomial Chaos

2015
Abstract : This expository report discusses fundamental aspects of the polynomial chaos method for representing the properties of second order stochastic processes. As originally developed by Norbert Weiner, a polynomial chaos represents key properties of a stochastic process through the application of finite series of orthogonal polynomials.
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Real polynomial chaos and absolute continuity

Probability Theory and Related Fields, 1988
Under very general conditions, we prove that the members of a so-called real polynomial chaos have absolutely continuous probability distributions.
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Polynomial Chaos Functions and Neutron Diffusion

Nuclear Science and Engineering, 2007
The polynomial chaos functions of Wiener are used to solve a stochastic differential equation. It is shown that a variety of polynomials are available according to the probability distribution of t...
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Polynomial Chaos Expansion

2021
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Optimal sparse polynomial chaos expansion for arbitrary probability distribution and its application on global sensitivity analysis

Computer Methods in Applied Mechanics and Engineering, 2022
Jie Liu
exaly  

Reliability analysis using adaptive Polynomial-Chaos Kriging and probability density evolution method

Reliability Engineering and System Safety, 2022
Yongbo Peng
exaly  

Polynomial Chaos Expansions

2015
Jan S. Hesthaven, Dongbin Xiu
openaire   +1 more source