Applications reducing to Coupled set of Ordinary Differential Equations
Another set of models of physical systems represent them as coupled set of discrete entities evolving over time
- Instead of ?(x,t) one gets ?i(t) labeled by an index i
- Discretizing x in continuous case leads to discrete case but in many cases, discrete formulation is fundamental
Within coupled discrete system class, one has two important approaches
- Classic time stepped simulations -- loop over all i at fixed t updating to
- Discrete event simulations -- loop over all events representing changes of state of ?i(t)