1. A method of performing nodal analysis for a multi-well petroleum production system comprising a plurality of wells coupled to a reservoir, the method comprising: for a node in the multi-well petroleum production system: simulating inflow for the node by performing reservoir simulation using a computer-implemented analytical reservoir simulator that predicts a flow of fluid through a porous media, wherein the reservoir simulation performed by the analytical reservoir simulator simulates inflow by simulating a transient behavior of the multi-well petroleum production system based at least in part on a production history for the multi-well petroleum production system; and determining an operating point for the node based upon the reservoir simulation.