The problem of transient simulation of lossy transmission lines is investigated in this paper. Two refinements are made to the existing convolution approach for the case of a sin- gle lossy line analytical formulae are derived for the line's impulse-responses, and an accurate numerical convolution technique that utilises these formulae are devised. It is shown that a special case of lossy multiconductor lines can be de- composed into uncoupled lossy lines and linear memoryless networks, leading to a simple simulation algorithm. Simu- lation results on industrial circuits with single and mtdticon- ductor lossy lines are presented and compared with results obtained using lumped and pseudo-lumped approximations of lossy lines. The comparison indicates that the convolution technique with the above enhancements can be an order-of- magnitude faster than lumped and pseudo-lumped segment- ing techniques for equivalent or better accuracy.