1. A computer implemented method of performing incremental extraction on an integrated circuit design, the method comprising: using at least one processor that is programmed or configured for performing a process, the process comprising: performing extraction on an integrated circuit design; modifying the integrated circuit design; identifying an area of electrical influence for the integrated circuit design that is modified; and performing re-extraction for only a portion of a net corresponding to the area of electrical influence for the modification by at least identifying one or more characteristics of the integrated circuit design within a net tube, which comprises a shape that surrounds at least a part of the portion of the net and extends for a distance along the portion of the net, without performing re-extraction for the entire net.