Convolution Quadrature for Wave Simulations

These notes develop the algorithmic aspects of convolution equations and their discretization by Convolution Quadrature, with an emphasis on the convolution equations that occur in the boundary integral equation formulation of wave scattering problems. The authors explore the development of CQ from a number of different perspectives. Clear algorithms for implementation of CQ are presented. A final example brings together the entire course to demonstrate the full discretization of a time domain boundary integral equation using Convolution Quadrature in time and a simple to program Nystrom flavored method in space.