MOSFET circuit simulation by using nonlinear relaxation and GPU

Circuit simulation is very important and time-consuming. Parallel computing does well accelerate the calculating speeds of many applications. GPU cards have thousands of threads, so it´s a good strategy to use GPU cards to perform circuit simulation. This paper use appropriate numerical methods, including techniques used by SPICE and Nonlinear Relaxation (relaxation-based method for solving nonlinear equations), to perform the circuit simulation. We assign the heaviest calculation portion of the simulation program to the GPU card, i.e. the nonlinear equation (derived by Newton Raphson iteration) solving portion. The complete circuit simulation program based on proposed methods has been coded and tested by solving some MOSFET circuits. The resulted speedup justifies the success of this research.