For a second-order differential equation of the type x ¨ ¨ ( t ) = A ( x ( t ) ) with initial conditions x ( t 0 ) = x 0 and x ˙ ˙ ( t 0 ) = v 0 , an approximate numerical solution x n ≈ ≈ x ( t n ) at the times t n = t 0 + n Δ Δ t with step size Δ Δ t > 0 can be obtained by the following method: