Transmission line inspires a new distributed algorithm to solve linear resistor network

Transmission line is always big trouble for integrated circuits designers; however, it could be of great help to the parallel computing of extremely large linear resistor networks. In this paper, we introduce the Virtual Transmission Method (VTM), which brings virtual transmission lines into linear resistor networks to achieve distributed computing in the virtual time domain. Numerical experiments show that VTM could be efficiently running on the 2D or 3D microprocessor / GPU with arbitrary number of cores.