Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany March 22–28, 1998: 131 - Brossura

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ISBN 10: 3034897286 ISBN 13: 9783034897280

Casa editrice: Birkhäuser, 2013

Riassunto

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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Contenuti

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.

Dettagli dell'edizione

• Editore: Birkhäuser
• Data di pubblicazione: 2013
• Lingua: Inglese
• ISBN 10: 3034897286
• ISBN 13: 9783034897280
• Rilegatura: Copertina flessibile
• Numero di pagine: 292
• Redattore: Gautschi Walter, Golub Gene H., Opfer Gerhard
• Contatto del produttore: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Germania