Study of Late Time Stability for Marching On-In-Time Solution of TDIE

Abstract-In this paper, the late time stability is studied for marching on-in-time scheme in the time domain integral equa tion. First, the numerical evaluation of the convolution between retarded potential and time basis function is employed to ensure the accuracy. T hen, we solve the first few time steps ' current coefficients as eigenvectors to derive the remaining coefficients. By projecting the system onto a modal order reduced system, the late time stability can be still ensured. Numerical results show that the accuracy and stability of the solutions obtained with the proposed methods in MOT-TD-CFIE can be guaranteed. I