matlab PCE

PCE stands for Polynomial Chaos Expansion, which is a technique used in uncertainty quantification and sensitivity analysis. In MATLAB, the PCE Toolbox is a collection of functions for building and analyzing polynomial chaos expansions. It allows users to generate polynomial chaos expansions of high-dimensional models using various methods, such as stochastic collocation, least-squares regression, and Galerkin projection. These expansions can be used to estimate the uncertainty in a model output due to uncertain inputs, and to compute sensitivity indices for identifying the most important input parameters. The PCE Toolbox is useful in a wide range of applications, including engineering design, climate modeling, and financial risk management.