This paper presents a class of boundary integral equation methods for the numerical solution of acoustic and electromagnetic time-domain scattering problems in the presence of unbounded penetrable ...

Convolution Quadrature: A numerical technique that discretises convolution integrals by utilising the Laplace transform, thus permitting stable and accurate time-stepping in wave propagation problems.

From our graphical interpretation method for the convolution integral, the maximum response occurs when the area under h (t) f (t-t) is a maximum. Viewing the animation below of the convolution ...

P. P. B. Eggermont, Ch. Lubich, Uniform Error Estimates of Operational Quadrature Methods for Nonlinear Convolution Equations on the Half-Line, Mathematics of ...