Design of methods for bootstrapping from small basis sets to large ones

In traditional quantum chemistry, calculations that use large basis sets to model the molecular orbitals take much longer than one that use small basis sets.  This is a problem, because the small-basis results are sometimes a poor approximation to the experimental reality.  However, we have devised a general scheme for taking a small-basis result and using it to estimate the much more expensive large-basis result at a modest computational cost.