Numerical Analysis: Historical Developments in the 20th CenturyElsevier, 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. |
Continguts
| 1 | |
| 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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Numerical Analysis: Historical Developments in the 20th Century C. Brezinski,L. Wuytack Previsualització limitada - 2001 |
Frases i termes més freqüents
acceleration algebraic multigrid algorithm Anal Appl applied approach boundary bounds Brezinski Chebyshev approximation collocation Comp Comput conjugate gradient consider convergence convergence acceleration corresponding cubature cubature formulae defined delay differential equations derived diagonal discrete eigenproblems eigenvalue problem eigenvectors elliptic error estimates example factorization finite difference finite element method function Galerkin Gaussian given gradient method interpolation iterative methods LAPACK least squares linear equations linear systems LINPACK Math Mathematics matrix mesh methods for solving minimal Newton’s method nodes norm numerical analysis numerical methods numerical solution obtained operator optimal orthogonal polynomials paper parallel parameters partial differential equations perturbations piecewise points preconditioners preconditioning properties quadratic quadrature formula recursion coefficients Runge–Kutta methods satisfies scalar Section sequence transformations SIAM singular value decomposition smooth solvers sparse spline stability symmetric techniques Theorem theory Thomée value problem variables vector Volterra integral equations zero