Abstract: Various embodiments describe performing a transient simulation of circuits that have mutual inductors. In particular, some embodiments perform a transient simulation on a circuit model by removing and approximating the effects of one or more entries of a matrix in the circuit model, where the matrix relates to inductors or mutual inductors of the circuit. In doing so, such embodiments can render the matrix more sparse than before which, in turn, can reduce the time spent during the transient simulation to solve equations of the circuit model.