Efficient Computation of Highly Oscillatory Fourier Transforms with Nearly Singular Amplitudes over Rectangle Domains

In this paper, we consider fast and high-order algorithms for calculation of highly oscillatory and nearly singular integrals. Based on operators with regard to Chebyshev polynomials, we propose a class of spectral efficient Levin quadrature for oscillatory integrals over rectangle domains, and give...

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Bibliographic Details
Main Authors: Zhen Yang, Junjie Ma
Format: Article
Language:English
Published: MDPI AG 2020-11-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/11/1930