JOURNAL ARTICLE

Interpolatory quadrature formulas for the Fejer kernel

J.C. Santos-León

Year: 2006 Journal:   International Mathematical Forum Pages: 1763-1771

Abstract

Interpolatory quadrature formulas with uniformly distributed nodes over the unit circle in the complex plane are studied for the approxi- mation of integrals over the unit circle with the Fejer kernel as weight function. Computable expression for the coefficients of this quadrature and numerical experiments comparing with Szego quadrature are given. Mathematics Subject Classification: 41, 65D

Keywords:
Mathematics Quadrature (astronomy) Applied mathematics Clenshaw–Curtis quadrature Mathematical analysis Gaussian quadrature Nyström method Physics Integral equation

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Topics

Mathematical functions and polynomials
Physical Sciences →  Mathematics →  Applied Mathematics
Electromagnetic Scattering and Analysis
Physical Sciences →  Physics and Astronomy →  Atomic and Molecular Physics, and Optics
Mathematical Approximation and Integration
Physical Sciences →  Mathematics →  Numerical Analysis

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