Numerical Analysis: Historical Developments in the 20th Century

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Elsevier, 2 de des. 2012 - 512 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.
 

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Continguts

Chapter 1 Numerical analysis in the twentieth century
1
Chapter 2 Approximation in normed linear spaces
41
Chapter 3 A tutorial history of least squares with applications to astronomy and geodesy
77
Chapter 4 Convergence acceleration during the 20th century
113
Chapter 5 On the history of multivariate polynomial interpolation
135
Chapter 6 Numerical linear algebra algorithms and software
149
Chapter 7 Iterative solution of linear systems in the 20th century
175
Chapter 8 Eigenvalue computation in the 20th century
209
Chapter 10 A survey of truncatedNewton methods
265
Chapter 11 Cubature formulae and orthogonal polynomials
281
Chapter 12 Computation of Gausstype quadrature formulas
313
Chapter 13 A review of algebraic multigrid
331
Chapter 14 From finite differences to finite elements A short history of numerical analysis of partial differential equations
361
Chapter 15 A perspective on the numerical treatment of Volterra equations
415
Chapter 16 Numerical methods for ordinary differential equations in the 20th century
449
Chapter 17 Retarded differential equations
479

Chapter 9 Historical developments in convergence analysis for Newtons and Newtonlike methods
241

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