A Software Repository for Gaussian Quadratures and Christoffel Functions

Walter Gautschi

ISBN 10: 1611976340 / ISBN 13: 9781611976342

Verlag: Society For Industrial & Applied Mathematics,U.S. Dez 2020, 2020

Beschreibung

Neuware.

Bestandsnummer des Verkäufers 9781611976342

Bibliografische Details

• Titel: A Software Repository for Gaussian Quadratures and Christoffel Functions
• Verlag: Society For Industrial & Applied Mathematics,U.S. Dez 2020
• Erscheinungsjahr: 2020
• Sprache: Englisch
• ISBN-10: 1611976340
• ISBN-13: 9781611976342
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

This companion piece to the author’s 2018 book, A Software Repository for Orthogonal Polynomials, focuses on Gaussian quadrature and the related Christoffel function. The book makes Gauss quadrature rules of any order easily accessible for a large variety of weight functions and for arbitrary precision. It also documents and illustrates known as well as original approximations for Gauss quadrature weights and Christoffel functions.

The repository contains 60 datasets, each dealing with a particular weight function. Included are classical, quasi-classical, and, most of all, nonclassical weight functions and associated orthogonal polynomials.

Über die Autorin bzw. den Autor

Walter Gautschi was a research mathematician at the National Bureau of Standards in Washington, D.C., and at Oak Ridge National Laboratory before taking on a full professorship at Purdue University, where he remained until his retirement in 2000. Previously he held postdoctoral positions at the Istituto Nazionale per le Applicazioni del Calcolo (INAC) in Rome and at Harvard University. Elected Corresponding Member of the Bavarian Academy of Sciences and Foreign Member of the Turin Academy of Sciences, Gautschi has served on the editorial committees of several journals and was chairman of the Mathematics of Computation editorial board. He has published extensively in the areas of computational mathematics, orthogonal polynomials, and history, including two books.