  In wavelet based electron structure calculations introducing a new, finer
resolution level is usually an expensive task, this is why often a two-level
approximation is used with very fine starting resolution level. This process
results in large matrices to calculate with and a large number of coefficients
to be stored. In our previous work we have developed an adaptively refining
solution scheme that determines the indices, where refined basis functions are
to be included, and later a method for predicting the next, finer resolution
coefficients in a very economic way. In the present contribution we would like
to determine, whether the method can be applied for predicting not only the
first, but also the other, higher resolution level coefficients. Also the
energy expectation values of the predicted wave functions are studied, as well
as the scaling behaviour of the coefficients in the fine resolution limit.
