Numerical Methods

Approximating the Second Derivative

Verlet's Method

In Fortran, this would be implemented as

DO I = 1, NSTEP
   X(I+1) = 2*X(I) - X(I-1) + H**2 * F(X(I))
ENDDO

Summed Form

DO I = 1, NSTEP
   DX(I) = DX(I-1) + H*F(X(I))
   X(I+1) = X(I) + H*DX(I)
ENDDO

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