Numerical Analysis: Historical Developments in the 20th Century

Abstract

Approximation in normed linear spaces (G.A. Watson). A tutorial history of least squares with applications to astronomy and geodesy (Y. Nievergelt). Convergence acceleration during the 20th century (C. Brezinski). On the history of multivariate polynomial interpolation (M. Gasca, T. Sauer). Numerical linear algebra algorithms and software (J.J. Dongarra, V. Eijkhout). Iterative solution of linear systems in the 20th century (Y. Saad, H.A. van der Vorst). Eigenvalue computation in the 20th century (G. H. Golub, H.A. van der Vorst). Historical developments in convergence analysis for Newton's and Newton-like methods (T. Yamamoto). A survey of truncated-Newton methods (S.G. Nash). Cubature formulae and orthogonal polynomials (R. Cools, I.P. Mysovskikh, H.J. Schmid). Computation of Gauss-type quadrature formulas (D.P. Laurie). A review of algebraic multigrid (K. Stuben). From finite differences to finite elements: A short history of numerical analysis of partial differential equations (V. Thomee). A perspective on the numerical treatment of Volterra equations (C.T.H. Baker). Numerical methods for ordinary differential equations in the 20th century (J.C. Butcher). Retarded differential equations (C.T.H. Baker).