SIMULATION OF ELECTRICAL CIRCUITS

A method, computer program product, and apparatus for simulating circuits. The method comprises modeling a circuit with an appropriate system of equations, partitioning a time interval on which the system of equations is defined, producing an interpolating polynomial on the time interval, and applying a two tiered iterative approach to solve the system of equations. The approach begins by decomposing a candidate solution vector into its time domain and frequency domain components. The Fourier transform is applied to the frequency domain components and time domain methods are applied to both the time domain components and the Fourier transformed frequency domain components to generate the solution to the original system of equations. Newton's method can be used in combination with a Krylov iterative subspace solver to perform the two-tiered iteration. The computer program product and the apparatus implement the method of simulating circuits.