Jinjun Yong

Efficient Quadrature Rules for Cauchy Principal Value Integrals with Highly Oscillatory Bessel Kernel

In this paper, we address the fast computation of highly oscillatory Bessel transforms involving algebraic-type singularities and Cauchy principal value integrals. By modifying the numerical steepest-descent method, we propose a new efficient quadrature rule. We first divide the...