Letter to the editor: on quadrature of Bessel transformations

Authors:
Shuhuang Xiang
Affiliations:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3, 0WA, UK and Department of Applied Mathematics and Software, Central South University, Changsha, H ...
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

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A method for computing Bessel function integrals

Journal of Computational Physics
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,

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Abstract

A method for integral transformations of highly oscillatory functions, Bessel functions, is presented. It is based on the Filon-type method and the decay of the error can be increased as α increases. The effectiveness and accuracy of the quadrature is tested for both large arguments and higher orders of Bessel functions in the case where the orders are nonnegative integers.