Mathematics of Computation

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ISSN 1088-6842(e) ISSN 0025-5718(p)

Fast integration of highly oscillatory integrals with exotic oscillators

Author(s): Shuhuang Xiang; Haiyong Wang.
Journal: Math. Comp. 79 (2010), 829-844.
MSC (2000): Primary 65D32, 65D30
Posted: August 26, 2009
MathSciNet review: 2600545
Retrieve article in: PDF

Abstract | References | Similar articles | Additional information

Abstract: 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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