Applications and Computation of Orthogonal Polynomials
Springer Basel (Verlag)
978-3-0348-9728-0 (ISBN)
G. Opfer ist Professor am Institut für Angewandte Mathematik der Universität Hamburg.
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.
Erscheint lt. Verlag | 3.10.2013 |
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Reihe/Serie | International Series of Numerical Mathematics |
Zusatzinfo | XIII, 273 p. |
Verlagsort | Basel |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 445 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Technik | |
Schlagworte | algorithm • Analysis • Dynamische Systeme • linear algebra • Numerical analysis • Operator • orthogonal polynomials • Wavelet |
ISBN-10 | 3-0348-9728-6 / 3034897286 |
ISBN-13 | 978-3-0348-9728-0 / 9783034897280 |
Zustand | Neuware |
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