Two-dimensional time-domain scattering using the nyström method and finite difference delay modeling

In this work, we propose an unconditionally stable TDIE method using the locally corrected Nystrδm (LCN) method for spatial discretization and finite difference delay modeling (FDDM) for temporal discretization. The use of a Nystrδm method reduces the time required to create the discrete convolution kernel, and simplifies the use of curved geometry models and fast methods. Finally, by applying FDDM for the temproal discretization, we ensure that the method is completely stable for any time step, resulting in a method capable of achieving a large range of accuracy and applicable to any geometry.