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arXiv · 2007.05245

PoCET: a Polynomial Chaos Expansion Toolbox for Matlab

Felix Petzke·Ali Mesbah·Stefan Streif
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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.

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Felix Petzke, Ali Mesbah, Stefan Streif. 2020-07-10. PoCET: a Polynomial Chaos Expansion Toolbox for Matlab. https://arxiv.org/abs/2007.05245

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