Fast and stable contour integration for high order divided differences via elliptic functions
Fast and stable contour integration for high order divided differences via elliptic functions
In this paper, we will present a new method for evaluating high order divided differences for certain classes of analytic, possibly, operator-valued functions. This is a classical problem in numerical mathematics but also arises in new applications such as the use of generalized convolution quadrature to solve retarded potential integral …