MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Verification of the cross 3d algorithm on quantum chemistry data

Heinz-Jürgen Flad, Boris N. Khoromskij, Dmitry Savostyanov and Eugene E. Tyrtyshnikov


A recently developed cross 3d algorithm is applied to approximation of the electron density function. The algorithm is proved to be fast and reliable on a sample of quantum chemistry data produced by the MOLPRO package.

MSC Codes:
65F30, 65F50, 65N35
tensor approximation, cross 3D algorithm, quantum chemistry

Related publications

2008 Repository Open Access
Dmitry V. Savostyanov, Eugene E. Tyrtyshnikov, Boris N. Khoromskij and Heinz-Jürgen Flad

Verification of the cross 3D algorithm on quantum chemistry data

In: Russian journal of numerical analysis and mathematical modelling, 23 (2008) 4, pp. 329-344