PoCET: a Polynomial Chaos Expansion Toolbox for Matlab
Abstract
We introduce PoCET: a free and open-scource Polynomial Chaos Expansion Toolbox for Matlab, featuring the automatic generation of polynomial chaos expansion (PCE) for linear and nonlinear dynamic systems with time-invariant stochastic parameters or initial conditions, as well as several simulation tools. It offers a built-in handling of Gaussian, uniform, and beta probability density functions, projection and collocation-based calculation of PCE coefficients, and the calculation of stochastic moments from a PCE. Efficient algorithms for the calculation of the involved integrals have been designed in order to increase its applicability. PoCET comes with a variety of introductory and instructive examples. Throughout the paper we show how to perform a polynomial chaos expansion on a simple ordinary differential equation using PoCET, as well as how it can be used to solve the more complex task of optimal experimental design.
Cite
@article{arxiv.2007.05245,
title = {PoCET: a Polynomial Chaos Expansion Toolbox for Matlab},
author = {Felix Petzke and Ali Mesbah and Stefan Streif},
journal= {arXiv preprint arXiv:2007.05245},
year = {2020}
}
Comments
6 pages, 4 figures, Accepted for the 21st IFAC WC 2020