Walter Gautschi, Volume 2: Selected Works with Commentaries

ISBN-13: 9781493943906 / Angielski / Miękka / 2016 / 914 str.

Claude Brezinski; Ahmed Sameh

Opis

Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics.

Recenzje

From the reviews:

"In each topic it goes in two steps: first there is a part in which well known specialists comment and summarize the contributions of Gautschi each of the topics in the volume and in a second part the papers classified in this topic follow. ... In the e-book version, the chapters are downloadable separately which is of course a highly desirable feature. Libraries will find these hard copies on their shelves to be of lasting significance." (A. Bultheel, The European Mathematical Society, December, 2013)

Spis treści

Part I Commentaries.- Orthogonal polynomials on the real line.- Polynomials orthogonal on the semicircle.- Chebyshev quadrature.- Kronrod and other quadratures.- Gauss-type quadrature.- Part II Reprints.- Orthogonal polynomials on the real line.- Polynomials orthogonal on the semicircle.- Chebyshev quadrature.- Kronrod and other quadratures.- Gauss-type quadrature.

Blurb

Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the latter area.

 

This three-volume set, Walter Gautschi: Selected Works with Commentaries, is a compilation of Gautschi’s most influential papers and includes commentaries by leading experts. The work begins with a detailed biographical section and ends with a section commemorating Walter’s prematurely deceased twin brother. This title will appeal to graduate students and researchers in numerical analysis, as well as to historians of science.

 

Selected Works with Commentaries, Vol. 1

Numerical Conditioning

Special Functions

Interpolation and Approximation

 

Selected Works with Commentaries, Vol. 2

Orthogonal Polynomials on the Real Line

Orthogonal Polynomials on the Semicircle

Chebyshev Quadrature

Kronrod and Other Quadratures

Gauss-type Quadrature

 

Selected Works with Commentaries, Vol. 3

Linear Difference Equations

Ordinary Differential Equations

Software

History and Biography

Miscellanea

Works of Werner Gautschi