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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      Book details

      Publisher Society for Industrial & Applied Mathematics,U.S.
      Published 30 December 2020
      ISBN-13 9781611976342
      978-1611976342
      ISBN-10 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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