Orthogonal polynomials: computation and approximation
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Bibliographic Details
Main Author: Gautschi, Walter 1927- (Author)
Format: Electronic eBook
Language:English
Published: Oxford Oxford Univ. Press 2004
Edition:1 ppubl.
Series:Numerical mathematics and scientific computation
Oxford science publications
Subjects:
Online Access:BTU01
Volltext
Item Description:Includes bibliographical references (pages 261-282) and index
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
Physical Description:1 Online-Ressource (VII,301S.)
ISBN:9780191545054
1423771087
9781423771081
0198506724

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