Orthogonal Polynomials Computation And Approximation zip (0198506724)

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By Walter Gautschi

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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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	Science/Engineering General Orthogonal Polynomials Herbert Stahl, Vilmos Totik, "General Orthogonal Polynomials" Cambridge University Press \| 1992 \| ISBN: 0521415349 \| 264 pages \| Djvu \| 1,8 MB In this treatise, the authors present the general theory of orthogonal polynomials on the com ...
	Science/Engineering Orthogonal Polynomials. Autor: G. Szego, "Orthogonal Polynomials."Publisher: Amer Mathematical Society \| ISBN: 0821810235 \| 1981 edition \| DJVU \| 432 Pages \| 4.48 MBThis first detailed systematic treatment of orthogonal polynomials continues as a bestseller in th ...
	Science/Engineering Asymptotics for Orthogonal Polynomials By Walter Van Assche Asymptotics for Orthogonal Polynomials By Walter Van AsschePublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K \| 1987 \| ISBN: 3540180230 \| RAR \| 201 pages \| 673.59 Kbpassword: twilightzone
	Orthogonal Polynomials of Several Variables Orthogonal Polynomials of Several Variables Cambridge University Press \| Pages: 408 \| 2001-03-19 \| ISBN 0521800439\| DJVU \| 7 MBThis is the first modern book on orthogonal polynomials of several variables, which are valuable tools used i ...
	Hypergeometric Orthogonal Polynomials and Their q-Analogues Roelof Koekoek, Peter A. Lesky, René F. Swarttouw, «Hypergeometric Orthogonal Polynomials and Their q-Analogues»Springer \| ISBN: 3642050131 \| March 29, 2010 \| PDF \| 560 pages \| 3.7 MB“The very classical orthogonal polynomials named ...
	Science/Engineering Orthogonal Polynomials and Special Functions: Computation and Application Book DescriptionSpecial functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the em ...

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	Science/Engineering General Orthogonal Polynomials Herbert Stahl, Vilmos Totik, "General Orthogonal Polynomials" Cambridge University Press \| 1992 \| ISBN: 0521415349 \| 264 pages \| Djvu \| 1,8 MB In this treatise, the authors present the general theory of orthogonal polynomials on the com ...
	Science/Engineering Orthogonal Polynomials. Autor: G. Szego, "Orthogonal Polynomials."Publisher: Amer Mathematical Society \| ISBN: 0821810235 \| 1981 edition \| DJVU \| 432 Pages \| 4.48 MBThis first detailed systematic treatment of orthogonal polynomials continues as a bestseller in th ...
	Science/Engineering Asymptotics for Orthogonal Polynomials By Walter Van Assche Asymptotics for Orthogonal Polynomials By Walter Van AsschePublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. K \| 1987 \| ISBN: 3540180230 \| RAR \| 201 pages \| 673.59 Kbpassword: twilightzone
	Orthogonal Polynomials of Several Variables Orthogonal Polynomials of Several Variables Cambridge University Press \| Pages: 408 \| 2001-03-19 \| ISBN 0521800439\| DJVU \| 7 MBThis is the first modern book on orthogonal polynomials of several variables, which are valuable tools used i ...
	Hypergeometric Orthogonal Polynomials and Their q-Analogues Roelof Koekoek, Peter A. Lesky, René F. Swarttouw, «Hypergeometric Orthogonal Polynomials and Their q-Analogues»Springer \| ISBN: 3642050131 \| March 29, 2010 \| PDF \| 560 pages \| 3.7 MB“The very classical orthogonal polynomials named ...
	Science/Engineering Orthogonal Polynomials and Special Functions: Computation and Application Book DescriptionSpecial functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the em ...

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