Numerical solution of the Hartree-Fock equation by multilevel tensor-structured methods [Elektronische Ressource] / vorgelegt von Venera Khoromskaia

Numerical solution of the Hartree-Fock equationby multilevel tensor-structured methodsvorgelegt von Diplom-PhysikerinVenera KhoromskaiaStadt Kazan, RusslandVon der Fakult¨at II - Mathematik und Naturwissenschaftender Technischen Universit¨at Berlinzur Erlangung des akademisches GradesDoktor der NaturwissenschaftenDr.rer.nat.genehmigte DissertationPromotionausschuss:Vorsitzender: Prof. Dr. J. BlathBerichter/Gutachter: Prof. Dr. Reinhold SchneiderBerichter/Gutachter: Prof. Dr. Dr. h.c. Wolfgang Hackbuschzus¨atzlicher Gutachter: Prof. Dr. Eugene TyrtyshnikovTag der mu¨ndlichen Pru¨fung: 10 December 2010Berlin 2011D 832AcknowledgementsI would like to express my gratitude to Prof. Dr. Reinhold Schneider for su-pervising my PhD project, forfruitful discussions and his friendly encouragementduring the work on this project. His interest and expertise in the research topicsrelated tothe Hartree-Fockequation and the density functional theorymotivatedmuchoftherecentprogressinthealgebraictensormethodsinelectronicstructurecalculations.I would like to thank Prof. Dr. Dr. h.c. Wolfgang Hackbusch for valuablediscussions and excellent conditions for performing research at the Max-Planck-Institute for Mathematics in the Sciences.This work is done due to fruitful collaboration with Dr. Heinz-Ju¨rgen Flad.