عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
3034886853
9783034886857
b537211
Applications and Computation of Orthogonal Polynomials :
[Book]
Conference at the Mathematical Research Institute Oberwolfach, Germany March 22-28, 1998
by Walter Gautschi, Gerhard Opfer, Gene H. Golub.
Basel
Birkhäuser Basel
1999
(282 pages)
International series of numerical mathematics, 131.
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.
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
مطالعه متن کتاب [Book]
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