A three-point formula for numerical quadrature of oscillatory integrals with variable frequency
type: Item
instance of: scholarly article
title: A three-point formula for numerical quadrature of oscillatory integrals with variable frequency
zbMATH Open document ID: 0632.65017
DOI: 10.1016/0377-0427(88)90390-1
author: U. Ehrenmark
published in: Journal of Computational and Applied Mathematics
publication date: 1988-01-01T00:00:00Z
review text: A simple three-point formula with step length dependent coefficients and easy to implement is proposed for evaluations of general oscillatory integrals. Its main application is to cases of variable frequency. An explicit closed form for the local truncation error is rigorously derived. Examples and comparisons with more sophisticated methods are given.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 41A55
Mathematics Subject Classification ID: 42A16
zbMATH DE Number: 4028723
zbMATH Keywords: Filon formula
zbMATH Keywords: Simpson Rule
zbMATH Keywords: numerical examples
zbMATH Keywords: comparison of methods
zbMATH Keywords: quadrature formulae
zbMATH Keywords: three-point formula
zbMATH Keywords: oscillatory integrals
zbMATH Keywords: variable frequency
zbMATH Keywords: local truncation error
reviewed by: Antonio de Castro
MaRDI profile type: Publication
full work available at URL: 0377-0427(88)90390-1
OpenAlex ID: W2060238526
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description: scientific article; zbMATH DE number 4028723