17 citations · 27 across the 4 of their papers we have counts for
4 papers
SeAr PC: Sensitivity Enhanced Arbitrary Polynomial Chaos
Nick Pepper, Francesco Montomoli, Kyriakos Kantarakias
This paper presents a method for performing Uncertainty Quantification in high-dimensional uncertain spaces by combining arbitrary polynomial chaos with a recently proposed scheme…
Uncertainty quantification of time-average quantities of chaotic systems using sensitivity-enhanced polynomial chaos expansion
George Papadakis, Kyriakos D. Kantarakias
We consider the effect of multiple stochastic parameters on the time-average quantities of chaotic systems. We employ the recently proposed \cite{Kantarakias_Papadakis_2023} sensit…
Sensitivity-enhanced generalized polynomial chaos for efficient uncertainty quantification
Kyriakos D. Kantarakias, George Papadakis
We present an enriched formulation of the Least Squares (LSQ) regression method for Uncertainty Quantification (UQ) using generalised polynomial chaos (gPC). More specifically, we…
Sensitivity analysis of chaotic systems using a frequency-domain shadowing approach
Kyriakos D. Kantarakias, George Papadakis
We present a frequency-domain method for computing the sensitivities of time-averaged quantities of chaotic systems with respect to input parameters. Such sensitivities cannot be c…