Walter Gautschi, Volume 1. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh
This is the first volume in a series of three, dedicated to the collected works of Walter Gautschi. A monumentary work that finally publishes in one sweep the many important contributions of Gautschi to a quite diverse set of mathematical disciplines. The layout of this first volume is as follows: after the introductory part, several authors put the contributions of Gautschi to different subjects into historical perspective and, finally, the papers of Gautschi are reprinted. The contents are given below. \vskip0.3cm List of contributors {\S 1} Preface \vskip0.3cm { Part I Walter Gautschi} {\S 2} Biography of Walter Gautschi (by Claude Brezinski and Ahmed Sameh) {\S 3} A brief summary of my scientific work and highlights of my career (by Walter Gautschi) {\S 4} Publications (by Walter Gautschi; divided into books, proceedings edited, translations and publications (ordered according to year of publication)) \vskip0.3cm { Part II Commentaries} {\S 5} Numerical conditioning (by Nicholas J. Higham) {\S 6} Special functions (by Javier Segura) \quad\S 6.1 Computation of special functions \quad\S 6.2 Inequalities {\S 7} Interpolation and approximation (by Miodrag M. Spalević) \quad\S 7.1 Attenuation factors in practical Fourier analysis \quad\S 7.2 Padé approximants associated with Hamburger series \quad\S 7.3 Convergence behavior of continued fractions with real elements \quad\S 7.4 Moment-preserving spline approximation \quad\S 7.5 Convergence of extended Lagrange interpolation \quad\S 7.6 Experimental mathematics involving orthogonal polynomials \qquad\S 7.6.1 Jacobi polynomials \qquad\S 7.6.2 Quadrature formulae \quad\S 7.7 Exotic weight functions \vskip0.3cm { Part III Reprints} {\S 8} Papers on numerical conditioning (13 papers; 1962--2011) {\S 9} Papers on special functions (21 papers; 1959--2011) {\S 10} Papers on interpolation and approximation (10 papers; 1972--2011) \vskip0.3cm For Volumes 2 and 3 of this collection see [Zbl 1292.01006; Zbl 1292.01007].
scientific article; zbMATH DE number 6162029