Multi-element flow-driven spectral chaos (ME-FSC) method for uncertainty quantification of dynamical systems
Hugo Esquivel,
Arun Prakash,
Guang Lin
Abstract:The flow-driven spectral chaos (FSC) is a recently developed method for tracking and quantifying uncertainties in the long-time response of stochastic dynamical systems using the spectral approach. The method uses a novel concept called enriched stochastic flow maps as a means to construct an evolving finite-dimensional random function space that is both accurate and computationally efficient in time. In this paper, we present a multi-element version of the FSC method (the ME-FSC method for short) to tackle (m… Show more
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