Long-time uncertainty propagation using generalized polynomial chaos and flow map composition

DOI10.1016/j.jcp.2014.06.029zbMath1351.37262OpenAlexW2040714014MaRDI QIDQ728699

Clarence W. Rowley, Dirk M. Luchtenburg, Steven L. Brunton

Publication date: 20 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.06.029

zbMATH Keywords

uncertainty quantificationgeneralized polynomial chaoslong-time integrationflow map composition

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05)

Related Items

Flow-driven spectral chaos (FSC) method for simulating long-time dynamics of arbitrary-order non-linear stochastic dynamical systems, Multi-element flow-driven spectral chaos (ME-FSC) method for uncertainty quantification of dynamical systems, Polynomial chaos-based \(\mathcal{H}_2\) output-feedback control of systems with probabilistic parametric uncertainties, A Set-Oriented Numerical Approach for Dynamical Systems with Parameter Uncertainty, Flow-driven spectral chaos (FSC) method for long-time integration of second-order stochastic dynamical systems, Near-wake dynamics of a vertical-axis turbine, Surrogate Models for Oscillatory Systems Using Sparse Polynomial Chaos Expansions and Stochastic Time Warping

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