Polynomial chaos approximation

版本 1.0.0.0 (8.8 KB) 作者: Felipe Uribe
Several 1D probability distributions are approximated using the polynomial chaos expansion method
2.2K 次下载
更新时间 2015/6/12

查看许可证

The main file 'PC_examples_1D.m' contains basic examples, in which several probability distributions are approximated using the polynomial chaos (PC) expansion. The key components of this method lie in the calculation of the orthogonal polynomials and the computation of the PC coefficients:
i). Functions to compute N-dimensional Hermite, Charlier and Jacobi polynomial are provided; extension to other types of orthogonal polynomials is straightforward.
ii). The PC coefficients are estimated using the projection method, where the integral is solved using a Gauss-Hermite quadrature. This step was only programmed for the case of 1D Hermite polynomials. Therefore, further extension to other types of orthogonal polynomials is required. An implementation of the regression method for the estimation of the PC coefficients can deal with this problem (hopefully, it will be included in a future version).

引用格式

Felipe Uribe (2024). Polynomial chaos approximation (https://www.mathworks.com/matlabcentral/fileexchange/51171-polynomial-chaos-approximation), MATLAB Central File Exchange. 检索时间: .

MATLAB 版本兼容性
创建方式 R2014a
兼容任何版本
平台兼容性
Windows macOS Linux
类别
Help CenterMATLAB Answers 中查找有关 Polynomials 的更多信息

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!
版本 已发布 发行说明
1.0.0.0