4 citations · 8 across the 5 of their papers we have counts for
5 papers
Levin methods for highly oscillatory integrals with singularities
Yinkun Wang, Shuhuang Xiang
In this paper, new Levin methods are presented for calculating oscillatory integrals with algebraic and/or logarithmic singularities. To avoid singularity, the technique of singula…
A Levin method for logarithmically singular oscillatory integrals
Yinkun Wang, Shuhuang Xiang
We propose a new stable Levin method to compute oscillatory integrals with logarithmic singularities and without stationary points. To avoid the singularity, we apply the technique…
Fast non-polynomial interpolation and integration for functions with logarithmic singularities
Yinkun Wang, Xiangling Chen, Ying Li +1
A fast non-polynomial interpolation is proposed in this paper for functions with logarithmic singularities. It can be executed fast with the discrete cosine transform. Based on thi…
Numerical analysis for the moments of Bessel functions and Bessel-trigonometric functions
Yinkun Wang, Ying Li, Jianshu Luo
The moments of Bessel functions and Bessel-trigonometric functions play a basic role in many practical problems and numerical analysis. This paper presents a complete analysis for…
Oscillation Preserving Galerkin Methods for Fredholm Integral Equations of the Second Kind with Oscillatory Kernels
Yinkun Wang, Yuesheng Xu
Solutions of Fredholm integral equations of the second kind with oscillatory kernels likely exhibit oscillation. Standard numerical methods applied to solving equations of this typ…