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Computer Methods in Applied Mechanics and Engineering, 2018 © 2017 Elsevier B.V. By introducing the arbitrary polynomial chaos theory, the Evidence-Theory-based Arbitrary Polynomial Chaos Expansion Method (ETAPCEM) is proposed to improve the computational accuracy of polynomial chaos expansion methods for the ...
Shengwen Yin, Dejie Yu, Zhen Luo
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Bayesian sparse polynomial chaos expansion for global sensitivity analysis
Computer Methods in Applied Mechanics and Engineering, 2017 International audiencePolynomial chaos expansions are frequently used by engineers and modellers for uncertainty and sensitivity analyses of computer models. They allow representing the input/output relations of computer models.
Qian Shao, Anis Younes, Marwan Fahs
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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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On the guaranteed accuracy of Polynomial Chaos Expansions
IEEE Conference on Decision and Control and European Control Conference, 2011This paper is concerned with the efficient simulation of stochastic nonlinear dynamical systems. A technique based on Polynomial Chaos Expansion (PCE) theory is used, in order to estimate the time evolution of the stochastic properties of the variables of interest.
Lorenzo Fagiano +2 more
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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.
Jonathan Feinberg +2 more
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Reliability Engineering and System Safety, 2020 We propose a non-intrusive stochastic model reduction method for polynomial chaos representation of acoustic problems using proper orthogonal decomposition.
Nabil El Mocayd +2 more
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Polynomial chaos expansion with random and fuzzy variables
Mechanical Systems and Signal Processing, 2016 A dynamical uncertain system is studied in this paper. Two kinds of uncertainties are addressed, where the uncertain parameters are described through random variables and/or fuzzy variables.
E Jacquelin +2 more
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Adapted polynomial chaos expansion for failure detection
Journal of Computational Physics, 2007zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meinhard Paffrath, Utz Wever
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Extending bluff-and-fix estimates for polynomial chaos expansions
Journal of Computational Science, 2021Abstract Polynomial chaos methods, which are part of a broader class known as stochastic Galerkin schemes, can be used to approximate the solution to a PDE with uncertainties represented by stochastic inputs or parameters. The stochastic solution is expressed as an infinite polynomial expansion truncated to M + 1 terms. The approach is then
Laura Lyman, Gianluca Iaccarino
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Influence of Polynomial Chaos expansion order on an uncertain asymmetric rotor system response
Mechanical Systems and Signal Processing, 2015 A stochastic harmonic balance method with a recursive procedure is developed to evaluate the steadystateresponse of a rotor system with uncertain stiffness and asymmetric coupling that involves time dependent terms. The Polynomial Chaos (PC) expansion is
J -J Sinou, E Jacquelin
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