Euler integration

a) Euler integration is the most basic kind of numerical integration for calculating trajectories from forces at discrete timesteps.

b) Euler integration is the simplest and most obvious way to numerically integrate a set of differential equations.

Euler integration consists of the following steps:

1. Set Time to its initial value.

2. Initialize the levels.

3. Compute the rates of change of the Levels at the current value of Time.

4. Use the rates of change to compute the Levels at Time + TIME STEP according to the formula:

LEVELTime+TIME STEP = LEVELTime + TIME STEP * RATETime

5. Add TIME STEP to Time.

6. Repeat steps 3-5 until Time is equal to FINAL TIME.

further information on: Euler integration

[1] (http://en.wikipedia.org/wiki/Euler_integration) Wikipedia - Euler Integration

[2] (http://mathworld.wolfram.com/Euler-MaclaurinIntegrationFormulas.html) Mathworld - Euler-Maclaurin Integtation : Formulas

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