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Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22-28, 1998: 131 - Rilegato
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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.
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Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22-28, 1998
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Williston, Vermont, U.S.A.: Birkhauser, 1999
ISBN 10: 3764361379
ISBN 13: 9783764361372
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Hardcover. Condizione: Very Good. No Jacket. 1st Edition. "This volume contains a collection of papers dealing with applications of orthogonal polynomials and methods for their computation. The applications address problems in applied mathematics as well as problems in engineering and the sciences. Prominent among the former are least-squares approximations, Gauss and related quadrature, iterative methods in linear algebra, the detection of singularities, and integral equations. Applications of the latter kind include the use of wavelets in medical diagnostics and the relevance of orthogonal polynomials in optimal control, dynamical systems, and gas dynamics. Computational methods relate to numerical and symbolic computation and include, in particular, matrix interpretation and convergence, perturbation, and stability analyses of relevant algorithms. Generalizations of orthogonal polynomials are also considered, for example, s-orthogonal, matrix- and tensor-valued, Muntz-type, and complex orthogonal polynomials. This volume is of interest to a wide audience of numerical analysts, engineers, and scientists. " (Publisher). Codice articolo HG74
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Applications and Computation of Orthogonal Polynomials.
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Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany March 22-28, 1998 (International Series of Numerical Mathematics, 131)
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Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany March 22-28, 1998 (International Series of Numerical Mathematics, 131)
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Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany March 22-28, 1998 (International Series of Numerical Mathematics, 131)
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Applications and Computation of Orthogonal Polynomials: Conference at the Mathematical Research Institute Oberwolfach, Germany March 22-28, 1998 (International Series of Numerical Mathematics, 131)
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Condizione: New. 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 appli. Codice articolo 5279289
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