In this paper, we introduce a new scheme for the efficient numerical treatment of the
electronic Schrödinger equation for molecules. It is based on the combination of a many-
body expansion, which corresponds to the bond order dissection ANOVA approach
introduced in [M. Griebel, J. Hamaekers, and F. Heber, Extraction of Quantifiable Information
from Complex Systems, Springer, New York, pp. 211--235; F. Heber, Ph. D. thesis, Intitut
für Numerische Simulation, Rheinische Friedrich-Wilhelms-Universität Bonn, 2014], with …

In this paper, we introduce a new scheme for the efficient numerical treatment of the
electronic Schrödinger equation for molecules. It is based on the combination of a many-
body expansion, which corresponds to the so-called bond order dissection Anova approach,
with a hierarchy of basis sets of increasing order. Here, the energy is represented as a finite
sum of contributions associated to subsets of nuclei and basis sets in a telescoping sum like
fashion. Under the assumption of data locality of the electronic density (nearsightedness of …