Distinguished : Continous-time simulation; discrete-time simulation

Continuous-time simulation models systems where the state variables change continuously over time. In this type of simulation, changes can occur at any instant, and the system's behavior is often described by differential equations. It's suitable for systems where the underlying processes are smooth and uninterrupted, such as the flow of fluids or the dynamics of a chemical reaction.

Discrete-time simulation models systems where the state variables change only at specific, distinct points in time. Time typically advances in fixed steps, and the system's state is updated at each step. This approach is often used when events happen at specific intervals or when the system's behavior is naturally described by a sequence of operations, like in digital circuits or financial models where calculations are done daily or hourly.