A Multicircuit Simulator Based on Inverse Jacobian Matrix Reuse

This paper proposes a technique, GALAXY, to speed up multicircuit simulation, where each circuit under simulation is identical in schematic but different in some parameters. GALAXY is based on the successive chord method, where the inverse Jacobian matrix (J
^-1
) is reused to simulate many circuits whose solutions are similar. GALAXY also speeds up singlecircuit simulation by reusing J
^-1
between consecutive time steps. Compared with a traditional Newton-Raphson (NR) simulator, on average, GALAXY reduces runtime of single-circuit and multicircuit simulation by 44% and 71%, without loss of accuracy. The number of NR iterations is reduced by 78%.