Gauss quadrature and Christoffel function for Jacobi weight functions

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By Walter GautschiORCID logo

Purdue University

A set of MATLAB scripts related to Gauss quadrature and the Christoffel function for Jacobi weight functions

Version 1.0 - published on 12 Jun 2020 doi:10.4231/17YY-MC20 - cite this Archived on 24 Jul 2020

Licensed under Attribution 3.0 Unported

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Description

MATLAB scripts are provided for generating to any given accuracy n-point Gauss quadrature rules, n ≥ 1, relative to Jacobi weight functions as well as  approximations for the quadrature weights and respective errors. For selected values of the Jacobi parameters, approximations and respective errors are also provided for the associated Christoffel function.

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Tags

  1. Computer Science
  2. Computer Science (Dept)
  3. Jacobi polynomials
  4. Jacobi weight functions
  5. Mathematics
  6. Modification algorithms for orthogonal polynomials
  7. Orthogonal polynomials
  8. Walter Gautschi Archives
  9. weight functions

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Notes

This dataset contains seventeen MATLAB scripts.

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