A tiine-domain approach is presented to solve nonlinear circuits with loss less translnission lines. Mathenlatically,the circuits are described by a special kind of nonlinear differential-algebraic equatious fDAEs)with multiple staut delays. In order to directly compute these delay systems in time-domaiu, decoupling by waveform relaxatiou (WR) is applied to the systems. For the relaxation-based umthod we provide a uew convergeuce proof. Nunlerical experimeuts are giveu to illustrate the novel approach.