Applications and Computation of Orthogonal Polynomials
Subtitle: Conference at the Mathematical Research Institute Oberwolfach, Germany March 22-28, 1998
By: by Walter Gautschi, Gerhard Opfer, Gene H. Golub
Contributors: Opfer, Gerhard; Golub, Gene H.
Series: International Series of Numerical Mathematics -- 131; International series of numerical mathematics -- 131.
Publisher: Birkhäuser Basel
Published: 1999
Place of publication: Basel
Language: eng
Format: [electronic resource] :
Number of pages: 282
ISBN-13: 9783034886857
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, Müntz-type, and complex orthogonal polynomials. This volume is of interest to a wide audience of numerical analysts, engineers, and scientists.