عنوان

Applications and Computation of Orthogonal Polynomials :

(Number (ISBN

3034886853

(Number (ISBN

9783034886857

Number

b537211

Title Proper

Applications and Computation of Orthogonal Polynomials :

General Material Designation

[Book]

Other Title Information

Conference at the Mathematical Research Institute Oberwolfach, Germany March 22-28, 1998

First Statement of Responsibility

by Walter Gautschi, Gerhard Opfer, Gene H. Golub.

Place of Publication, Distribution, etc.

Basel

Name of Publisher, Distributor, etc.

Birkhäuser Basel

Date of Publication, Distribution, etc.

1999

Specific Material Designation and Extent of Item

(282 pages)

Series Title

International series of numerical mathematics, 131.

Text of Note

The sensitivity of least squares polynomial approximation --;Transpose-free look-ahead algorithms for Lanczos' method --;Applications of anti-Gauss quadrature rules in linear algebra --;Stieltjes polynomials and the error of Gauss-Kronrod quadrature formulas --;Fast solution of confluent Vandermonde-like linear systems using polynomial arithmetic --;On discrete polynomial least-squares approximation in moving time windows --;Quadrature rules based on s-orthogonal polynomials for evaluating integrals with strong singularities --;Gegenbauer weight functions admitting L2 Duffin and Schaeffer type inequalities --;Questions related to Gaussian quadrature formulas and two-term recursions --;Construction and computation of a new set of orthogonal polynomials --;Fourier transforms of orthogonal polynomials of singular continuous spectral measures --;On a sequence of fast decreasing polynomial operators --;Müntz orthogonal polynomials and their numerical evaluation --;Positivity of Gauss-Kronrod formulae for a certain ultraspherical weight function --;A Christoffel-Darboux-type formula for Szegö polynomials and polynomial evaluation --;Applications of tensor-valued tri-variate Hermite polynomials and spherical harmonics in the kinetic theory of gases --;Indeterminate moment problems and a conjecture on the growth of the entire functions in the Nevanlinna parametrization --;Spectral methods based on nonclassical orthogonal polynomials --;Author index.

Text of Note

This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation, of interest to a wide audience of numerical analysts, engineers, and scientists. The applications address problems in applied mathematics as well as problems in engineering and the sciences.

Mathematics.

by Walter Gautschi, Gerhard Opfer, Gene H. Golub.

Gene H Golub

Gerhard Opfer

Walter Gautschi

Electronic name

[Book]

Y