A provably stable MoT scheme based on quadratic spline basis functions

Computational methods are widely used in the engineering community for the analysis of electromagnetic scattering phenomena. To achieve the robustness required for industrial application the numerical scheme has to be provably stable. The existing stability proof of the space-time Galerkin scheme will be augmented such that it can be used for the more popular marching-on-in-time scheme. These extensions lead to a provably stable scheme that is easy to implement in existing marching methods.