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ArticleRandom dynamical system in time domain: A POD-PC model

E. Jacquelin2019

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Articlebronze2019

Random dynamical system in time domain: A POD-PC model

E. Jacquelin · Niccolò Baldanzini · Biswarup Bhattacharyya · Denis Brizard

43 citations·0/0 files stored·Mechanical Systems and Signal Processing

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Probabilistic and Robust Engineering Design Model Reduction and Neural Networks Gaussian Processes and Bayesian Inference

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References

1991Stochastic Finite Elements: A Spectral Approach 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations 2010Adaptive sparse polynomial chaos expansion based on least angle regression 2003Modeling uncertainty in flow simulations via generalized polynomial chaos 2010Numerical Methods for Stochastic Computations: A Spectral Method Approach 2009An adaptive algorithm to build up sparse polynomial chaos expansions for stochastic finite element analysis 2006Stochastic finite element: a non intrusive approach by regression 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems

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2021Surrogate assisted active subspace and active subspace assisted surrogate—A new paradigm for high dimensional structural reliability analysis 2024Multivariate sensitivity-adaptive polynomial chaos expansion for high-dimensional surrogate modeling and uncertainty quantification 2020Uncertainty Quantification of Stochastic Impact Dynamic Oscillator Using a Proper Orthogonal Decomposition-Polynomial Chaos Expansion Technique 2022A feature mapping strategy of metamodelling for nonlinear stochastic dynamical systems with low to high-dimensional input uncertainties

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Details

Year2019

Typearticle

Published2019-07-24

VenueMechanical Systems and Signal Processing

ISSN-L0888-3270

Languageen

Citations43

Files0 public / 0

ShelfProbabilistic and Robust Engineering Design

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doi10.1016/j.ymssp.2019.106251

openalex_workW2963242385

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2021Uncertainty quantification and reliability analysis by an adaptive sparse Bayesian inference based PCE model

2025Efficient forward and inverse uncertainty quantification for dynamical systems based on dimension reduction and Kriging surrogate modeling in functional space

2022On the use of sparse Bayesian learning-based polynomial chaos expansion for global reliability sensitivity analysis