A Software Repository for Gaussian Quadratures and Christoffe... - 9781611976342

A Software Repository for Gaussian Quadratures and Christoffel FunctionsAuthor(s): Walter Gautschi\nFormat: Paperback\nPublisher: Society for Industrial & Applied Mathematics,U.S., United States\nImprint: Society for Industrial & Applied Mathematics,U.S.\nISBN-13: 9781611976342, 978-1611976342\nSynopsis\nThis companion piece to the authors 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.\n\nThe 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.