The Birth of Numerical Analysis

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Overview

The 1947 paper by John von Neumann and Herman Goldstine, "Numerical Inverting of Matrices of High Order" (Bulletin of the AMS, Nov. 1947), is considered as the birth certificate of numerical analysis. Since its publication, the evolution of this domain has been enormous. This book is a unique collection of contributions by researchers who have lived through this evolution, testifying about their personal experiences and sketching the evolution of their respective subdomains since the early years.

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Product Details

  • ISBN-13: 9789812836250
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 11/13/2009
  • Pages: 240
  • Product dimensions: 6.10 (w) x 9.00 (h) x 0.80 (d)

Table of Contents

Preface v

Some pioneers of extrapolation methods Claude Brezinski 1

Very basic multidimensional extrapolation quadrature James N. Lyness 23

Numerical methods for ordinary differential equations: early days John C. Butcher 35

Interview with Herbert Bishop Keller Hinke M. Osinga 45

A personal perspective on the history of the numerical analysis of Fredholm integral equations of the second kind Kendall Atkinson 53

Memoires on building a general purpose numerical algorithms library Brian Ford 73

Recent trends in high performance computing Jack J. Dongarra Hans W. Meuer Horst D. Simon Erich Strohmaier 93

Nonnegativity constraints in numerical analysis Donghui Chen Robert J. Plemmons 109

On nonlinear optimization since 1959 M. J. D. Powell 141

The history and development of numerical analysis in Scotland: a personal perspective G. Alistair Watson 161

Remembering Philip Rabinowitz Philip J. Davis Aviezri S. Fraenkel 179

My early experiences with scientific computation Philip J. Davis 187

Applications of Chebyshev polynomials: from theoretical kinematics to practical computations Robert Piessens 193

Name Index 207

Subject Index 215

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