Orthogonal Polynomials

Name: Orthogonal Polynomials
Brand: Oxford University Press
SKU: 9780198506720
Price: 950.18 RON
Availability: InStock

Computation and Approximation

Autor: Walter Gautschi

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Legare: Copertă tare

Editura: Oxford University Press

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This is the first book on constructive methods for, and applications of orthogonal polynomials, and...

Informații despre carte

Autor

Walter Gautschi

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2004

Pagini

312

EAN

9780198506720

ISBN

0198506724

Enbook ID

04526901

Editura

Oxford University Press

Greutate

608

Dimensiuni

174 x 243 x 29

Descriere completă

This is the first book on constructive methods for, and applications of orthogonal polynomials, and the first available collection of relevant Matlab codes. The book begins with a concise introduction to the theory of polynomials orthogonal on the real line (or a portion thereof), relative to a positive measure of integration. Topics which are particularly relevant to computation are emphasized. The second chapter develops computational methods for generating the coefficients in the basic three-term recurrence relation. The methods are of two kinds: moment-based methods and discretization methods. The former are provided with a detailed sensitivity analysis. Other topics addressed concern Cauchy integrals of orthogonal polynomials and their computation, a new discussion of modification algorithms, and the generation of Sobolev orthogonal polynomials. The final chapter deals with selected applications: the numerical evaluation of integrals, especially by Gauss-type quadrature methods, polynomial least squares approximation, moment-preserving spline approximation, and the summation of slowly convergent series. Detailed historic and bibliographic notes are appended to each chapter.The book will be of interest not only to mathematicians and numerical analysts, but also to a wide clientele of scientists and engineers who perceive a need for applying orthogonal polynomials.

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Orthogonal Polynomials

Computation and Approximation

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