Numerical analysis of a fast integration method for highly oscillatory functions

作者：Xiang Shuhuang^*

来源：BIT Numerical Mathematics, 2007, 47(2): 469-482.

DOI：10.1007/s10543-007-0127-y

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

The integration of systems containing Bessel functions is a central point in many practical problems in physics, chemistry and engineering. This paper presents a new numerical analysis for the collocation method presented by Levin for integral(b)(a) f(x) S(rx)dx and gives more accurate error analysis about the integration of systems containing Bessel functions. The effectiveness and accuracy of the quadrature is tested for Bessel functions with large arguments.

• 出版日期2007-6
• 单位中南大学