Numerical quadrature for Bessel transformations

作者：Xiang, Shuhuang^*; Gui, Weihua; Mo, Pinghua

来源：Applied Numerical Mathematics, 2008, 58(9): 1247-1261.

DOI：10.1016/j.apnum.2007.07.002

• oscillatory integrals
• Bessel function
• error bounds
• collocation method
• asymptotic method

In this paper we explore higher order numerical quadratures for the integration of systems containing Bessel functions. 'two families of methods are presented. One is based on a truncation of the asymptotic series and the other is extending an approach in the work of Levin. The decay of the error drastically improves as frequency grows. The effectiveness and accuracy of the quadrature is tested for large arguments of Bessel functions.

• 出版日期2008-9
• 单位中南大学