An arbitrary potential with perturbation (in one, two or more dimensions) is considered.
A fixed Runge Kutta discretization of coordinates is employed.
The zero order part of problem is assumed solved by the Newton's shooting method,
(generalized here to more than one dimension).
New method of the recurrent evaluation of correcctions is described
(degenerating back to the Skala-Cizek formalism in one dimension).
Published in J. Phys. A: Math. Gen. 30 (1997) 8771 - 8783.