Orthogonal polynomials : computation and approximation /

Orthogonal polynomials : computation and approximation /

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Bibliographic Details
Author / Creator:Gautschi, Walter, 1927- author.
Imprint:Oxford ; New York : Oxford University Press, 2004.
Description:1 online resource (viii, 301 pages) : illustrations.
Language:English
Series:Numerical mathematics and scientific computation
Oxford science publications
Numerical mathematics and scientific computation.
Oxford science publications.
Subject:
Orthogonal polynomials.
Orthogonal polynomials.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11143617
Hidden Bibliographic Details
ISBN:1423771087
9781423771081
9786610758869
6610758867
9780198506720
0198506724
0198506724
1280758864
9781280758867
0191545058
9780191545054
Notes:Includes bibliographical references (pages 261-282) and index.
English.
Print version record.
Summary:Orthogonal polynomials are a widely used class of mathematical functions that are helpful in the solution of many important technical problems. This book provides, for the first time, a systematic development of computational techniques, including a suite of computer programs in Matlab downloadable from the Internet, to generate orthogonal polynomials of a great variety.
Other form:Print version: Gautschi, Walter. Orthogonal polynomials. Oxford ; New York : Oxford University Press, 2004 0198506724
Table of Contents:
  • Basic theory: Orthogonal polynomials
  • Properties of orthogonal polynomials
  • Three-term recurrence relation
  • Quadrature rules
  • Classical orthogonal polynomials
  • Kernel polynomials
  • Sobolev orthogonal polynomials
  • Orthogonal polynomials on the semicircle
  • Notes to Chapter 1
  • Computational methods: Moment-based methods
  • Discretization methods
  • Computing Cauchy integrals of orthogonal polynomials
  • Modification algorithms
  • Computing Sobolev orthogonal polynomials
  • Notes to Chapter 2
  • Applications: Quadrature
  • Least squares approximation
  • Moment-preserving spline approximation
  • Slowly convergent series
  • Notes to Chapter 3.

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