Polynomial Chaos Approach to Describe the Propagation of Uncertainties Through Gas Networks

2019 ◽  
pp. 59-65
Author(s):  
Stephan Gerster ◽  
Michael Herty ◽  
Michael Chertkov ◽  
Marc Vuffray ◽  
Anatoly Zlotnik
Keyword(s):  
Polynomial Chaos ◽  
Gas Networks ◽  
Propagation Of Uncertainties

scholarly journals An accuracy comparison of polynomial chaos type methods for the propagation of uncertainties

2013 ◽  
Vol 3 (1) ◽  
pp. 2 ◽  
Author(s):  
Florian Augustin ◽  
Albert Gilg ◽  
Meinhard Paffrath ◽  
Peter Rentrop ◽  
Manuel Villegas ◽  
...  
Keyword(s):  
Polynomial Chaos ◽  
Accuracy Comparison ◽  
Propagation Of Uncertainties

scholarly journals Some aspects of probabilistic modeling, identification and propagation of uncertainties in computational mechanics

2010 ◽  
pp. 25-40
Author(s):  
Christian Soize
Keyword(s):  
Probabilistic Models ◽  
Polynomial Chaos ◽  
Matrix Theory ◽  
Probabilistic Approach ◽  
Maximum Entropy Principle ◽  
Geometrical Nonlinearities ◽  
Computational Dynamics ◽  
Entropy Principle ◽  
Experimental Validations ◽  
Propagation Of Uncertainties

In this paper, we present some aspects relative to the types of uncertainties, the variability of real systems, the types of probabilistic approaches and of the representations for the probabilistic models of uncertainties, the construction of the probabilistic models using the maximum entropy principle. We then present the nonparametric probabilistic approach of uncertainties for elliptic problems, for 3D continuous dynamical systems with geometrical nonlinearities induced by large displacements and for low- and mediumfrequency vibroacoustics of a complex system with experimental validations. Finally, a generalized probabilistic approach of uncertainties in computational dynamics using the random matrix theory and polynomial chaos decompositions is presented.

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