PHYS 498GMP Spring 99

Attention programists:

The best choice for an algorithm of integrating an equation of motion seems "the second-order Taylor approximation":

x_n+1 = x_n + v_n Dt + .5 a_n Dt²

v_n+1 = v_n + .5 (a_n +a_n+1) Dt

See: Robert Stanley, Numerical methods in mechanics, Am. J. Phys. 52 (6), June 1984.