Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22-28, 1998

Editor: GAUTSCHI, WALTER

ISBN 10: 3764361379 / ISBN 13: 9783764361372

Published by Williston, Vermont, U.S.A.: Birkhauser, 1999

About this Item

"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, Muntz-type, and complex orthogonal polynomials. This volume is of interest to a wide audience of numerical analysts, engineers, and scientists. " (Publisher).

Seller Inventory # HG74

Bibliographic Details

• Title: Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22-28, 1998
• Publisher: Williston, Vermont, U.S.A.: Birkhauser
• Publication Date: 1999
• Language: English
• ISBN 10: 3764361379
• ISBN 13: 9783764361372
• Binding: Hardcover
• Edition: 1st Edition
• Condition: Very Good
• Dust Jacket Condition: No Jacket
• Seller catalogs:
  • MATHEMATICS & STATISTICS

About this title

Synopsis

The workshop on Applications and Computation of Orthogonal Polynomials took place March 22-28, 1998 at the Oberwolfach Mathematical Research Institute. It was the first workshop on this topic ever held at Oberwolfach. There were 46 participants from 13 countries, more than half coming from Germany and the United States, and a substantial number from Italy. A total of 23 plenary lectures were presented and 4 short informal talks. Open problems were discussed during an evening session. This volume contains refereed versions of 18 papers presented at, or submitted to, the conference. The theory of orthogonal polynomials, as a branch of classical analysis, is well established. But orthogonal polynomials play also an important role in many areas of scientific computing, such as least squares fitting, numerical integration, and solving linear algebraic systems. Though the basic tenets have their roots in 19th­ century mathematics, the use of modern computers has required the development and study of new algorithms that are accurate and robust. The computational methods and applications represented in this volume, of necessity, are incomplete, yet sufficiently varied to convey an impression of current activities in this area.