Abstract.
The Hartree–Fock eigenvalue problem governed by the 3D integro-differential operator
is the basic model in ab initio electronic structure calculations.
Several years ago the idea to solve the Hartree–Fock equation by a
fully 3D grid based numerical approach seemed to be a fantasy, and
the tensor-structured methods did not exist.
In fact, these methods evolved during the work on this challenging problem.
In this paper, our recent results on the topic are outlined
and the black-box Hartree–Fock solver by tensor numerical methods is presented.
The approach is based on the rank-structured calculation of the
core hamiltonian and of the two-electron integrals tensor
using the problem adapted basis functions discretized on
© 2014 by Walter de Gruyter Berlin/Boston