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Applications and Computation of Orthogonal Polynomials

Walter Gautschi

Published by Springer Basel AG Jul 1999, 1999
ISBN 10: 3764361379 / ISBN 13: 9783764361372
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Title: Applications and Computation of Orthogonal ...

Publisher: Springer Basel AG Jul 1999

Publication Date: 1999

Binding: Buch

Book Condition: Neu

Description:

Neuware - This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation. The applications address problems in applied mathematics as well as problems in engineering and the sciences. Prominent among the former are least-squares approximations, Gauss and related quadrature, iterative methods in linear algebra, the detection of singularities, and integral equations. Applications of the latter kind include the use of wavelets in medical diagnostics and the relevance of orthogonal polynomials in optimal control, dynamical systems, and gas dynamics. Computational methods relate to numerical and symbolic computation and include, in particular, matrix interpretation and convergence, perturbation, and stability analyses of relevant algorithms. Generalizations of orthogonal polynomials are also considered, for example, s-orthogonal, matrix- and tensor-valued, Müntz-type, and complex orthogonal polynomials. This volume is of interest to a wide audience of numerical analysts, engineers, and scientists. 273 pp. Englisch. Bookseller Inventory # 9783764361372

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This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation, of interest to a wide audience of numerical analysts, engineers, and scientists. The applications address problems in applied mathematics as well as problems in engineering and the sciences.

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