Simulation

Diffraction of light

Information & software

Simulation is an approach to a problem other than the analytical research of the solution. This method is often useful or necessary, expecially when the problem is not simple or cannot be simplified without changing qualitative aspects of the solution. A simulation can also be used to verify a solution obtained in another way.

Table of Contents

Simulation background
Simulation examples

Simulation background

Resolving a problem can bring to different situations:

  1. you can get an explicit analytical solution;
  2. you can get a numerical approximation of the analytical solution;
  3. there is no effective way to write down the solution.

The last is the common case if you can't simplify the problem to an ideal case, such in school physics, because there is the risk to change too much the quantitative or even the qualitative aspect of the solution. In that case a possible approach is to understand just the rules of the system and then, starting from an initial condition, evolve it using that rules. The real problem is reduced to verify the correctness of the assumptions used in the evolving rules.

Here follows some information on dynamical systems:

Dynamical Systems: Introduction & Definition An approach to dynamical systems.


Simulation examples

SimEvSimulation of an evolving environment
JDemocSimulation of a democratic environment


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