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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gautschi, Walter, 1927- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Oxford ; New York : Oxford University Press, 2004.
Colección:Numerical mathematics and scientific computation.
Oxford science publications.
Temas:
Acceso en línea:Texto completo

MARC

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504 |a Includes bibliographical references (pages 261-282) and index. 
505 0 |a 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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520 |a 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. 
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650 6 |a Polynômes orthogonaux. 
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