Stochastic LIM for Transient Solution of Electromagnetic and Circuit Problems with Uncertainties

Stochastic LIM was introduced for fast and accurate simulation of circuits with random elements. The method combines Latency Insertion Method with Stochastic Galerkin Method to formulate a finite difference-based transient circuit solver for simulation of circuits with uncertainties. The random nodal voltages and branch currents, along with the random circuit element values, are expanded using generalized Polynomial Chaos basis functions to form an augmented system which is solved using LIM. A sampling-based method proposed to calculate expansion coefficients as inputs to Stochastic LIM.