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.
- ISBN13 9781611976342
- Publish Date 1 October 2020
- Publish Status Active
- Publish Country US
- Imprint Society for Industrial & Applied Mathematics,U.S.
- Format Paperback
- Pages 134
- Language English