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Simulation BasicsThe simulators compute the response of a given circuit to a particular stimulus byconverting, based on certain assumptions, a system of nonlinear ordinary differentialcircuit equations into a system of nonlinear algebraic equations and then solving themnumerically. The various simulators convert ordinary differential equations to algebraicequations differently and use different numerical techniques for solving the resultingalgebraic equations, leading to the many different simulator flavors (DC, AC, S-parameter,transient, harmonic balance, circuit envelope).
For example, the DC and the harmonicbalance simulators treat the d/dt operator differently, leading to different algebraicequations. The numerical simulation techniques rely on various iterative processes toachieve mathematical convergence toward an equilibrium point in the nonlinear algebraicequations that describe the circuit.
Once this equilibrium point is reached to within certaintolerances, a solution is said to have been found.The specific assumptions for the DC simulator are described in Simulation Assumptions.
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