Efficient algorithms for integrals with highly oscillatory Hankel kernels

Efficient algorithms for integrals with highly oscillatory Hankel kernels

We present an efficient numerical algorithm for approximating integrals with highly oscillatory Hankel kernels. First, using the integral expression of the Hankel function, the integral is transformed into the integral of the trigonometric kernel, and the singularities are separated. According to wh...

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Bibliographic Details
Main Authors: Qinghua Wu, Mengjun Sun
Format: Article
Language:English
Published: Elsevier 2022-05-01
Series:Results in Applied Mathematics
Subjects:
Hankel integral
Highly oscillatory integrals
Clenshaw–Curtis methods
Generalized Gauss–Laguerre rule
Singular integral
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037422000127

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http://www.sciencedirect.com/science/article/pii/S2590037422000127

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