Two-frequency-dependent Gauss quadrature rules

DOI10.1016/j.cam.2004.03.020zbMath1064.65022OpenAlexW1996731649MaRDI QIDQ1765453

Kyung Joong Kim

Publication date: 23 February 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.03.020

zbMATH Keywords

regularizationnumerical exampleserror analysisquadrature formulaGauss quadrature formulaoscillatory integrand

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical methods for trigonometric approximation and interpolation (65T40) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (7)

Frequency-dependent interpolation rules using first derivatives for oscillatory functions ⋮ Present state-of-the-art in exponential fitting. A contribution dedicated to Liviu Ixaru on his 70th birthday ⋮ Modified Gauss-Laguerre exponential fitting based formulae ⋮ Unnamed Item ⋮ Exponentially-fitted Gauss-Laguerre quadrature rule for integrals over an unbounded interval ⋮ Error analysis for frequency-dependent interpolation formulas using first derivatives ⋮ Two-frequency trigonometrically-fitted and symmetric linear multi-step methods for second-order oscillators

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A high order, progressive method for the evaluation of irregular oscillatory integrals
• Quadrature rules for the integration of the product of two oscillatory functions with different frequencies
• Operations on oscillatory functions
• Extended quadrature rules for oscillatory integrands
• Quadrature rules using first derivatives for oscillatory integrands
• A comparison of some methods for the evaluation of highly oscillatory integrals
• A Regularization Procedure for Σn−i=1fi(zj)xi =g(zj), (j = 1, 2, …,n)
• A Gauss quadrature rule for oscillatory integrands

This page was built for publication: Two-frequency-dependent Gauss quadrature rules