Computation of integrals over the unit circle with nearby poles
From MaRDI portal
Publication:5928460
DOI10.1016/S0168-9274(99)00147-6zbMath0980.65022OpenAlexW1997198221MaRDI QIDQ5928460
Publication date: 28 March 2001
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0168-9274(99)00147-6
numerical exampleserror boundsGauss integrationPoisson type kernelsingularity subtractionSzegö quadrature
Related Items
An application of Szegő quadratures to the computation of the Fourier transform, Rational quadrature formulae on the unit circle with arbitrary poles, A matrix approach to the computation of quadrature formulas on the unit circle
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical evaluation of integrals of periodic functions with Cauchy and Poisson type kernels
- Continued fractions associated with trigonometric and other strong moment problems
- Modified quadrature formulas for functions with nearby poles
- Product rules on the unit circle with uniformly distributed nodes. Error bounds for analytic functions
- Some results about numerical quadrature on the unit circle
- On the computation of generalized Fermi-Dirac and Bose-Einstein integrals
- Modified quadrature formula for integrand with nearby poles
- Rational quadrature formulas on the unit circle with prescribed nodes and maximal domain of validity
- Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
- Subtracting Out Complex Singularities in Numerical Integration
- Quadrature Formulas Based on Rational Interpolation
- Algorithm 793
- Error bounds for interpolatory quadrature rules on the unit circle