Description

Book Synopsis
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.

A Software Repository for Gaussian Quadratures

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A Paperback / softback by Walter Gautschi

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    View other formats and editions of A Software Repository for Gaussian Quadratures by Walter Gautschi

    Publisher: Society for Industrial & Applied Mathematics,U.S.
    Publication Date: 30/12/2020
    ISBN13: 9781611976342, 978-1611976342
    ISBN10: 1611976340
    Also in:
    Complex analysis, complex variables Numerical analysis Real analysis, real variables

    Description

    Book Synopsis
    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.

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