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Orthogonal polynomials : computation and approximation / Walter Gautschi

Author
Gautschi, Walter, 1927-
Published
Oxford ; New York : Oxford University Press, 2004.
Physical Description
1 online resource (viii, 301 pages) : illustrations
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Series
Language Note
English.
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.
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.
Subject(s)
ISBN
1423771087 (electronic bk.)
9781423771081 (electronic bk.)
9786610758869
6610758867
9780198506720
0198506724
1280758864
9781280758867
0191545058
9780191545054
0198506724 (Cloth)
Bibliography Note
Includes bibliographical references (pages 261-282) and index.
View MARC record | catkey: 43159662