Complex-plane methods for evaluating integrals with highly oscillatory integrands
type: Item
instance of: scholarly article
title: Complex-plane methods for evaluating integrals with highly oscillatory integrands
zbMATH Open document ID: 0666.65020
DOI: 10.1016/0021-9991(89)90114-9
author: K. T. R. Davies
published in: Journal of Computational Physics
publication date: 1989-01-01T00:00:00Z
review text: Integrals of highly oscillatory integrands are considered which contain either a factor exp(ik-a)x or a product of spherical Bessel functions. Using Cauchy's theorems the line of integration is changed from the positive real axis to a suitable inclined line in the complex plane which yields a rapidly converging integral.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65T40
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 42A16
zbMATH DE Number: 4090677
zbMATH Keywords: complex-plane methods
zbMATH Keywords: highly oscillatory integrands
zbMATH Keywords: spherical Bessel functions
reviewed by: Rudolf Wegmann
MaRDI profile type: Publication
full work available at URL: 0021-9991(89)90114-9
OpenAlex ID: W2132497737
cites work: Q5821083
cites work: Efficient Computation of the Complex Error Function
cites work: Q4774952
cites work: Integrals of Products of Bessel Functions
description: scientific article; zbMATH DE number 4090677