EulerCromer Method Simple modification of Eqs. (5),
(4) yields solutions that are
stable for oscillatory systems. Such EulerCromer algorithm
or lastpoint approximation leads to the following difference equations
As
pointed out by Cromer in: A. Cromer, Stable solutions using
the Euler Approximation, American Journal of Physics, 49,
455 (1981), this simple modification conserves energy for oscillatory
problems (unlike Euler method which artifactually increases energy
of the oscillator with time).


