A Software Repository for Gaussian Quadratures and Christoffel Functions

Walter Gautschi

2020年10月 · Software, Environments, and Tools 第 32 本图书 · SIAM

关于此电子书

This companion piece to the author’s 2018 book, A Software Repository for Orthogonal Polynomials, focuses on Gaussian quadrature and the related Christoffel function. The book makes Gauss quadrature rules of any order easily accessible for a large variety of weight functions and for arbitrary precision. It also documents and illustrates known as well as original approximations for Gauss quadrature weights and Christoffel functions.

The repository contains 60+ datasets, each dealing with a particular weight function. Included are classical, quasi-classical, and, most of all, nonclassical weight functions and associated orthogonal polynomials.

Scientists, engineers, applied mathematicians, and statisticians will find the book of interest.