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Fast integration of highly oscillatory integrals with exotic oscillators
Shuhuang Xiang, Haiyong Wang
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Source: Crossref
Published: Aug 26, 2009
DOI: 10.1090/s0025-5718-09-02279-0
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In this paper, we present an efficient Filon-type method for the integration of systems containing Bessel functions with exotic oscillators based on a diffeomorphism transformation and give applications to Airy transforms. Preliminary numerical results show the effectiveness and accuracy of the quadrature for large arguments of integral systems.
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