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Numerical Analysis in 20thCentury V.I: Approximation theory

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Numerical Analysis in the 20th Century Vol.I: Approximation theory

Journal of Computational and Applied Mathematics
Copyright © 2003 Elsevier B.V. Volume 121, Issues 1-2, Pages 1-465 (1 September 2000)

Approximation in normed linear spaces, Pages 1-36
G. A. Watson

A tutorial history of least squares with applications to astronomy and geodesy, Pages 37-72
Yves Nievergelt

Shape-preserving approximation by polynomials, Pages 73-94
D. Leviatan

Classical orthogonal polynomials: dependence of parameters, Pages 95-112
A. Ronveaux, A. Zarzo, I. Area and E. Godoy

Computing integral transforms and solving integral equations using Chebyshev polynomial
approximations, Pages 113-124
Robert Piessens

Developments in bivariate spline interpolation, Pages 125-152
G. Nürnberger and F. Zeilfelder

Multivariate spline and algebraic geometry, Pages 153-163
Ren-Hong Wang

A unified theory of radial basis functions: Native Hilbert spaces for radial basis functions II, Pages 165-177
Robert Schaback

Constraint-selected and search-optimized families of Daubechies wavelet filters computable by spectral
factorization, Pages 179-195
Carl Taswell

Multivariate Padé approximation, Pages 197-219
Philippe Guillaume and Alain Huard

Numerical and asymptotic aspects of parabolic cylinder functions, Pages 221-246
Nico M. Temme

Computational strategies for the Riemann zeta function, Pages 247-296
Jonathan M. Borwein, David M. Bradley and Richard E. Crandall

Recursion formulae for basic hypergeometric functions, Pages 297-312
Stanislaw Lewanowicz

The left-definite spectral theory for the classical Hermite differential equation, Pages 313-330
W. N. Everitt, L. L. Littlejohn and R. Wellman

Minimal state-space realization in linear system theory: an overview, Pages 331-354
B. De Schutter

Rational approximation in linear systems and control, Pages 355-378
A. Bultheel and B. De Moor

Summary of sinc numerical methods, Pages 379-420
Frank Stenger

Interval analysis: theory and applications, Pages 421-464
Götz Alefeld and Günter Mayer

Index, Page 465
 

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