Large-scale linear circuit simulation with an inversed inductance matrix

Abstract

We show that by using an inversed form of an inductance matrix, the current variables become no more necessary in a transient analysis. Furthermore we have invented a way to remove them even in a steady state analysis while preserving the same sparse matrix topology throughout the both analyses. The removal has brought about a sufficiently effective speed-up and stability of calculation. It opens a way to the accurate numerical verification of large-scale signal integrity as in a power grid of LSI.