Numerical Analysis: Historical Developments in the 20th Century

Portada
C. Brezinski, L. Wuytack
Gulf Professional Publishing, 30 de nov. 2001 - 505 pàgines
Numerical analysis has witnessed many significant developments in the 20th century. This book brings together 16 papers dealing with historical developments, survey papers and papers on recent trends in selected areas of numerical analysis, such as: approximation and interpolation, solution of linear systems and eigenvalue problems, iterative methods, quadrature rules, solution of ordinary-, partial- and integral equations. The papers are reprinted from the 7-volume project of the Journal of Computational and Applied Mathematics on '/homepage/sac/cam/na2000/index.htmlNumerical Analysis 2000'. An introductory survey paper deals with the history of the first courses on numerical analysis in several countries and with the landmarks in the development of important algorithms and concepts in the field.
 

Continguts

Numerical analysis in the twentieth century C Brezinski L Wuytack
1
Approximation in normed linear spaces G A Watson
41
A tutorial history of least squares with applications to astronomy and geodesy Y Nievergelt
77
Convergence acceleration during the 20th century C Brezinski
113
On the history of multivariate polynomial interpolation M Gasca T Sauer
135
Numerical linear algebra algorithms and software J J Dongarra V Eijkhout
149
Iterative solution of linear systems in the 20th century Y Saad H A van der Vorst
175
Eigenvalue computation in the 20th century G H Golub H A van der Vorst
209
A survey of truncatedNewton methods S G Nash
265
Cubature formulae and orthogonal polynomials R Cools I P Mysovskikh H J Schmid
281
Computation of Gausstype quadrature formulas D P Laurie
313
A review of algebraic multigrid K Stüben
331
A short history of numerical analysis of partial differential
361
A perspective on the numerical treatment of Volterra equations C T H Baker
415
Numerical methods for ordinary differential equations in the 20th century J C Butcher
449
Retarded differential equations C T H Baker
479

Historical developments in convergence analysis for Newtons and Newtonlike methods
241

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