Abstract: A system and process for utilizing probability distribution information about process parameters to quantify the probability of manufacturing process variation for variants of circuit designs in order to more efficiently analyze and simulate the designs.

Abstract: A system, computer-readable storage medium, and method directly solves non-linear systems that have the HB Jacobian as the coefficient matrix. The direct solve method can be used to efficiently simulate non-linear circuits in RF or microwave applications. Additionally, the direct solve method can be applied to Fourier envelope applications. Furthermore, the direct solve method can be used together with preconditioners to provide a more efficient iterative solve technique.

Abstract: A computer-implemented method computes the steady-state and control voltage of a voltage controlled oscillator, given a known frequency or a known period of oscillation of the voltage controlled oscillator. Differential algebraic equations representative of the voltage controlled oscillator are generated, where the differential algebraic equations includes a known period or frequency of oscillation and an unknown control voltage of the voltage controlled oscillator. The differential algebraic equations are modified using a finite difference method, a shooting method, or a harmonic balance method, to obtain a set of matrix equations corresponding to the differential algebraic equations. A solution to the matrix equations is obtained using a Krylov subspace method, using a preconditioner for the Krylov subspace method that is derived from a Jacobian matrix corresponding to the matrix equations, where the solution includes the control voltage of the voltage controlled oscillator in steady state.