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Reproducing kernel function-based Filon and Levin methods for solving highly oscillatory integral
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DOI：10.1016/j.amc.2021.125980.png)
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Abstract
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The main theme of this paper is to develop new Filon and Levin methods for highly oscillatory integrals. The novel method is based on the spline reproducing kernel functions approximation in Sobolev reproducing kernel Hilbert space. The accuracy and efficiency of the present method is illustrated through some numerical experiments compared with some effective methods appeared in the literature. (C) 2021 Elsevier Inc. All rights reserved.
Keywords:
Reproducing kernel
Highly oscillatory integral
Filon method
Levin method
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