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Applied Mathematics

Modeling and Simulation

What are some types of mathematical models?

Mathematical models are commonly broken down into numerical or analytical models. Numerical models are those that use some type of numerical timing procedures to figure out a model’s behavior over time. The solution is usually represented by a table or graph. An analytical model usually has a closed solution. In other words, the solution to the equations used to describe changes in the system can be expressed as a mathematical analytic function. Mathematical models can also be divided in other ways. For example, some models are considered deterministic (or a model that always performs the same way for a given set of initial conditions) or stochastic (or a model in which randomness is present).