A time-frequency algorithm for the simulation of the initial transient response of oscillators

The paper presented here deals with a novel algorithm for calculating the initial transient response of an oscillator circuit. The method is based on reformulating the original system ordinary differential-algebraic equations (DAEs) by a system similar to partial differential equations (PDEs). The time-scales of the solution of the PDEs are unlike the original DAEs not widely separated. The PDE approach is therefore much better suited for CAD. Unlike existing methods the novel algorithm has a sound mathematical basis.