A modified Nystrom-Clenshaw-Curtis quadrature for integral equations with piecewise smooth kernels

作者：Chen Qiong Sheng; Lin Fu Rong^*

来源：Applied Numerical Mathematics, 2014, 85: 77-89.

DOI：10.1016/j.apnum.2014.05.015

• Fredholm integral equation of second kind
• Piecewise smooth kernel
• Modified Nystrom-Clenshaw-Curtis
• Quadrature
• Extension of kernel function

The Nystrom-Clenshaw-Curtis (NCC) quadrature is a highly accurate quadrature which is suitable for integral equations with semi-smooth kernels. In this paper, we first introduce the NCC quadrature and point out that the NCC quadrature is not suitable for certain integral equation with well-behaved kernel functions such as e(-|t-s|). We then modify the NCC quadrature to obtain a new quadrature which is suitable for integral equations with piecewise smooth kernel functions. Applications of the modified NCC quadrature to Wiener-Hopf equations and a nonlinear integral equation are presented.

• 出版日期2014-11
• 单位汕头大学