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Applications and Computation of Orthogonal Polynomials: Conference in Oberwolfach, March 22-28, 1998 International Series of Numerical Mathematics



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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-sq... Read more
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Features
Author W. Gautschi , G. H. Golub , G. Opfer
Format Hardcover
ISBN 9783764361372
Publication Date 17/05/2009
Publisher Birkhauser Basel
Manufacturer Birkhauser Verlag Ag
Description

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, Mntz-type, and complex orthogonal polynomials. Series: International Series in Numerical Mathematics, Vol. 131


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