72 citations · 187 across the 17 of their papers we have counts for
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math.NA2014★ 3 cited
Tucker tensor method for fast grid-based summation of long-range potentials on 3D lattices with defects
Venera Khoromskaia, Boris N. Khoromskij
In this paper, we present a method for fast summation of long-range potentials on 3D lattices with multiple defects and having non-rectangular geometries, based on rank-structured…
math.NA2014★ 2 cited
Tensor Numerical Approach to Linearized Hartree-Fock Equation for Lattice-type and Periodic Systems
Venera Khoromskaia, Boris N. Khoromskij
This paper introduces and analyses the new grid-based tensor approach for approximate solution of the eigenvalue problem for linearized Hartree-Fock equation applied to the 3D latt…
math.NA2014★ 35 cited
Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation
Venera Khoromskaia, Boris N. Khoromskij
We introduce and study a novel tensor approach for fast and accurate assembled summation of a large number of lattice-allocated potentials represented on 3D gr…