Difference between Euler's, Euler-Cromer's, Runta-Kunta 2, and Leapfrog

[zheng89120]

What are the main differences between these four numerical methods? thanks

 

[rcgldr]

Did you try wikipedia?

http://en.wikipedia.org/wiki/Eulers_method

http://en.wikipedia.org/wiki/Runge-Kutta_method

http://en.wikipedia.org/wiki/Leapfrog_integration

In the wiki article for leapfrom integration, the integration of acceleration to velocity example is trapezoidal rule, (starting plus ending acceleration) / 2 = average acceleration for each time step.