Convolution Quadrature Solution of Some Classes of Integral Equations

In this research, the Lubich’s convolution quadrature idea is discussed and its application in the area of integral equations is considered. The nonlinear integral equation of convolution type is discretized into some nonlinear system of equations. This numerical method combines a quadrature-like method with the Newton iterative process. At the end some possible research directions in this field are introduced.