Orthogonal polynomials : computation and approximation / Walter Gautschi.
Material type:
TextSeries: Numerical mathematics and scientific computation | Oxford science publicationsPublication details: Oxford ; New York : Oxford University Press, 2004.Description: 1 online resource (viii, 301 pages) : illustrationsContent type: - text
- computer
- online resource
- 1423771087
- 9781423771081
- 9786610758869
- 6610758867
- 9780198506720
- 0198506724
- 1280758864
- 9781280758867
- 0191545058
- 9780191545054
- 515/.55 22
- QA404.5 .G356 2004eb
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Electronic-Books
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OPJGU Sonepat- Campus | E-Books EBSCO | Available |
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.
Print version record.
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.
English.
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