Proper Combination of Integrators and Interpolators for Stable Marching-on-in-Time Schemes

Mathematicians have proven that few specific collocation methods provide stable numerical solution for the delay differential equations provided the accuracy order of the finite difference approximation matches to that of the temporal interpolation. To adjoin this important conclusion to the development of stable time-domain field integral equation-based solvers, this paper investigates the impact of diverse proposed interpolators over conveniently usable integrators.