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基本説明
A unique collection of contributions by researchers. Contents: Some Pioneers of Extrapolation Methods (C Brezinski); Very Basic Multi-dimensional Extrapolation Quadrature (J N Lyness); Numerical Methods for Ordinary Differential Equations: Early Days (J C Butcher); Interview with Herbert Bishop Keller (H M Osinga); and more.
Full Description
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.
Contents
Comments on Multidimensional Extrapolation Quadrature (J Lyness); Some Pioneers of Extrapolation Methods (C Brezinski); On the History of Numerical Methods for Stiff Differential Equations (R Jeltsch); Numerics of Non-stiff Differential Equations (G Wanner); A Personal Perspective on the History of the Numerical Analysis of Fredholm Integral Equations of the Second Kind (K Atkinson); Building the NAG Library (B Ford); Nonnegativity Constraints in Numerical Analysis (R Plemmons); The Development of Algorithms for Nonlinear Optimization (M J D Powell); The History and Development of Numerical Analysis in Scotland: A Personal Perspective (G A Watson); My Early Experience with Scientific Computing (Ph Davis).