Numerical Analysis: Historical Developments in the 20th CenturyC. 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 |
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Numerical Analysis: Historical Developments in the 20th Century C. Brezinski,L. Wuytack Previsualització limitada - 2012 |
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acceleration algebraic multigrid algorithm Anal Appl applied approach bound boundary Brezinski Chebyshev approximation collocation Comput conjugate gradient consider convergence convergence acceleration corresponding cubature cubature formulae defined derived diagonal discrete efficient eigenproblems eigenvalue problem eigenvectors elliptic error estimates example factorization finite difference finite element method function Gaussian given Golub gradient method integral interpolation iterative methods Krylov subspace LAPACK least squares linear equations linear systems LINPACK Math Mathematics matrix mesh methods for solving minimal multigrid method Newton's method nodes nonlinear equations norm numerical analysis numerical methods numerical solution obtained operator optimal orthogonal polynomials paper parallel parameters perturbations piecewise points preconditioners preconditioning properties quadratic recursion coefficients Runge-Kutta methods satisfies scalar Section sequence transformations SIAM singular value decomposition smooth solvers space sparse spline stability symmetric techniques Theorem theory tridiagonal value problem variables vector Volterra zero