A comparison of marching-on-in-time method with method for the TD-EFIE solver

One of the most popular methods to solve a time domain electric field integral equation (TD-EFIE) is the marching-on-in-time (MOT) method. Recently, a new method called marching-on-in-degree (MOD) that uses Laguerre polynomials as temporal basis functions has been developed to eliminate the late time instability of the MOT method. A comparison is presented between these two methods from the standpoint of formulation, stability, cost and accuracy. Numerical results are presented to illustrate these features in the comparison.