Orthogonal Polynomials - 9780198506720
  • Orthogonal Polynomials - 9780198506720

Orthogonal Polynomials - 9780198506720

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€284.72
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Description
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.
Product Details
10 Items

Data sheet

Type
Textbook
Author
Walter Gautschi
Format
Hardcover
Language
English
Item Height
242mm
Item Width
162mm
Number of Pages
312 Pages
Item Weight
678g
Publisher
Oxford University Press
Publication Year
2004

Specific References

ISBN
9780198506720
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