Results 141 to 150 of about 793 (178)

Adaptive Generalized Polynomial Chaos for Nonlinear Random Oscillators

SIAM Journal on Scientific Computing, 2004
Summary: The solution of nonlinear random oscillators subject to stochastic forcing is investigated numerically. In particular, solutions to the random Duffing oscillator with random Gaussian and non-Gaussian excitations are obtained by means of the generalized polynomial chaos (GPC).
Didier Lucor, George E. Karniadakis
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Probabilistic Load Flow Based on Generalized Polynomial Chaos

IEEE Transactions on Power Systems, 2017
An analytical method based on generalized polynomial chaos (gPC) is proposed for probabilistic load flow (PLF). The method preserves the nonlinearity of power flow equations whose rectangular formulations are adopted to facilitate the gPC expansion. The feasibility of the method is demonstrated by case studies from a 9-bus system.
Yonghua Song, Yongzhi Zhou, Shufeng Dong   +2 more
exaly   +2 more sources

Generalized Polynomial Chaos-based Ensemble Kalman Filtering for Orbit Estimation

2021 American Control Conference (ACC), 2021
In this paper a novel framework is proposed to carry out state and parameter estimation of a general nonlinear stochastic dynamical system in a prediction-correction fashion. The uncertainties in the initial states and parameters are propagated using generalized polynomial chaos expansion technique to compute the predicted estimates of states and ...
Rajnish Bhusal, Kamesh Subbarao
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Modeling uncertainty in flow simulations via generalized polynomial chaos

Journal of Computational Physics, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiu, Dongbin, Karniadakis, George Em
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Generalized polynomial chaos-based estimation of human knee stiffness

2016 IEEE International Conference on Multisensor Fusion and Integration for Intelligent Systems (MFI), 2016
Observation of the human knee stiffness is known to be an important issue in rehabilitation robotics in order to consider biomechanical knee parameters of the individual patient. As in-vivo identification often is a complicated task, modeling of biomechanical processes always comes with uncertainties.
Markus J. Lüken, Steffen Leonhardt, Berno J. E. Misgeld   +2 more
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General Introduction to Polynomial Chaos and Collocation Methods

2018
In this chapter, the basic principles of two methodologies for uncertainty quantification (UQ) are discussed, namely the polynomial chaos method and the collocation method. UQ deals with the propagation of uncertainties through complex numerical models, and in the present context of the UMRIDA project, mostly computational fluid dynamics (CFD) codes ...
Chris Lacor, Éric Savin
openaire   +1 more source

Statistical analysis via generalized decoupled polynomial chaos

2015 IEEE 24th Electrical Performance of Electronic Packaging and Systems (EPEPS), 2015
This paper describes a new approach to the statistical characterization of high-speed interconnect circuits. The proposed approach is based on the idea of polynomial chaos and works by decoupling the matrices that arise from the Galerkin projection.
Xiaochen Liu, Emad Gad
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Probabilistic load flow by generalized polynomial chaos method

2016 IEEE Power and Energy Society General Meeting (PESGM), 2016
The probabilistic load flow (PLF) problem is solved by a new approach named generalized polynomial chaos (gPC) method. This method combines the techniques of gPC expansion and Galerkin method and transforms the PLF equations into a set of deterministic equations.
null Hao Wu, null Yongzhi Zhou, null Shufeng Dong, null Huanhai Xin, null Yonghua Song   +4 more
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Generalized polynomial chaos for nonlinear random pantograph equations

Acta Mathematicae Applicatae Sinica, English Series, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shi, Wen-Jie, Zhang, Cheng-Jian
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Generalized polynomial chaos for the convection diffusion equation with uncertainty

International Journal of Heat and Mass Transfer, 2016
Abstract In this paper, several numerical algorithms are presented for solving the convection diffusion equation with random diffusivity and periodic boundary conditions. Based on the generalized polynomial chaos expansion and Galerkin projection, the stochastic convection diffusion equation is turned into a set of coupled deterministic equations ...
Ning Li, Jianping Zhao, Xinlong Feng, Dongwei Gui   +3 more
openaire   +1 more source