Orthogonal polynomials : computation and approximation /

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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Gautschi, Walter, 1927- (Author)
Format: Electronic eBook
Language:Inglés
Published: Oxford ; New York : Oxford University Press, 2004.
Series:Numerical mathematics and scientific computation.
Oxford science publications.
Subjects:
Orthogonal polynomials.
Polynômes orthogonaux.
MATHEMATICS > Calculus.
MATHEMATICS > Mathematical Analysis.
Orthogonale reeksen.
Online Access:Texto completo
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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