Frequency-dependent interpolation rules using first derivatives for oscillatory functions

DOI10.1016/j.cam.2006.04.044zbMath1117.65020OpenAlexW2060165805MaRDI QIDQ2372919

Seung Hoe Choi, Kyung Joong Kim

Publication date: 17 July 2007

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.2006.04.044

zbMATH Keywords

numerical resultserror analysisoscillatory functionsfrequency-dependent rules

Mathematics Subject Classification ID

Trigonometric interpolation (42A15) Numerical interpolation (65D05) Numerical methods for trigonometric approximation and interpolation (65T40)

Related Items (2)

Exponential fitting for interpolation of oscillatory functions. A numerical approach ⋮ Error analysis for frequency-dependent interpolation formulas using first derivatives

Uses Software

• Matlab

Cites Work

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• Exponentially fitted variable two-step BDF algorithm for first order ODEs
• 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
• Frequency evaluation in exponential fitting multistep algorithms for ODEs
• Quadrature rules using first derivatives for oscillatory integrands
• Two-frequency-dependent Gauss quadrature rules
• A Regularization Procedure for Σn−i=1fi(zj)xi =g(zj), (j = 1, 2, …,n)
• A comment on ``Reliable operations on oscillatory functions
• A Gauss quadrature rule for oscillatory integrands
• Weights of the exponential fitting multistep algorithms for first-order ODEs

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