A hybrid Runge-Kutta convolution quadrature-temporal Galerkin approach to the solution of the time domain integral equations of electromagnetics

Implicit Runge-Kutta based convolution quadrature and temporal Galerkin approaches to the discretization of the time domain integral equations are combined to produce an accurate efficient solution approach. The underlying method is just the convolution quadrature approach itself, and is used to compute temporal interactions between proximal patches. More distant interactions are computed by a method that halts the dispersive effect of the CQ method, leaving in place a scheme that resembles a temporal Galerkin approach. The resulting scheme keeps the underlying order of accuracy equal to that of the implicit Runge-Kutta approach with the dispersion mitigated by the hybridization.