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Applications and Computation of Orthogonal Polynomials

Conference at the Mathematical Research Institute Oberwolfach, Germany March 22–28, 1998

  • Walter Gautschi
  • Gerhard Opfer
  • Gene H. Golub
Conference proceedings

Part of the International Series of Numerical Mathematics book series (ISNM, volume 131)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Bernhard Beckermann, Edward B. Saff
    Pages 1-19
  3. Claude Brezinski, Michela Redivo-Zaglia
    Pages 21-40
  4. Daniela Calvetti, Lothar Reichel, Fiorella Sgallari
    Pages 41-56
  5. Hrushikesh N. Mhaskar, Jürgen Prestin
    Pages 165-178
  6. Gradimir V. Milovanović
    Pages 179-194
  7. Back Matter
    Pages 253-273

About these proceedings

Introduction

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.

Keywords

Numerical Analysis Operator Wavelet algorithm dynamische Systeme linear algebra orthogonal polynomials

Editors and affiliations

  • Walter Gautschi
    • 1
  • Gerhard Opfer
    • 2
  • Gene H. Golub
    • 3
  1. 1.Department of Computer SciencesPurdue UniversityWest LafayetteUSA
  2. 2.Institute for Applied MathematicsUniversity of HamburgHamburgGermany
  3. 3.Computer Science DepartmentStanford UniversityStanfordUSA

Bibliographic information

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