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Polynomial Chaos Functions and Neutron Diffusion
Nuclear Science and Engineering, 2007The 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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MODELING HETEROGENEITY IN NETWORKS USING POLYNOMIAL CHAOS
International Journal for Multiscale Computational Engineering, 2016Rajendran K +4 more
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Generalized polynomial chaos expansions with weights.
2015Polynomial chaos is used as an alternative to Monte Carlo methods for the propagation of uncertainty through dynamical systems. By truncating the infinite series of the polynomial chaos expansion to a finite order, the positivity of the approximate solution may be lost.
Obermaier, J., Stavropoulou, F.
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Surrogate modeling based on resampled polynomial chaos expansions
Reliability Engineering and System Safety, 2020Zicheng Liu +2 more
exaly
The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations
SIAM Journal of Scientific Computing, 2002Dongbin Xiu
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