Applications and Computation of Orthogonal Polynomials (eBook, PDF)

Conference at the Mathematical Research Institute Oberwolfach, Germany March 22-28, 1998
Redaktion: Gautschi, Walter; Opfer, Gerhard; Golub, Gene H.

• Format: PDF

Produktbeschreibung

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.

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Produktdetails

• Verlag: Birkhäuser Basel
• Seitenzahl: 273
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783034886857
• Artikelnr.: 53105690

Autorenporträt

G. Opfer ist Professor am Institut für Angewandte Mathematik der Universität Hamburg.

Inhaltsangabe

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.