Finite difference methods for multi time scale differential algebraic equations

In radio frequency applications, electronic circuits include oscillatory signals with widely separated time scales. Thus transient analysis demands a large amount of computation. A multidimensional signal model yields an alternative approach. This strategy causes savings in computation time and memory, if the arising partial differential algebraic equation (PDAE) is solved efficiently. For this purpose, we construct a specific finite difference method, which is based on the information transport in the PDAE system. Test results confirm that both PDAE model and corresponding finite difference technique are suitable for simulating driven oscillators.