Dynamic simulation

A simulation run solves the state-equation system to find the behavior of the state variables over a specified period of time.

[2] As mathematical models incorporate real-world constraints, like gear backlash and rebound from a hard stop, equations become nonlinear.

[2] Some complex systems’ behavior can be quite sensitive to initial conditions, which could lead to large errors from the correct values.

To avoid these possible errors, a rigorous approach can be applied, where an algorithm is found which can compute the value up to any desired precision.

Computer-based dynamic animation was first used at a very simple level in the 1989 Pixar short film Knick Knack to move the fake snow in the snowglobe and pebbles in a fish tank.