%0 Journal Article %T Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation %A Walter H. Aschbacher %J Mathematics %D 2008 %I arXiv %X We study the time dependent Hartree equation in the continuum, the semidiscrete, and the fully discrete setting. We prove existence-uniqueness, regularity, and approximation properties for the respective schemes, and set the stage for a controlled numerical computation of delicate nonlinear and nonlocal features of the Hartree dynamics in various physical applications. %U http://arxiv.org/abs/0812.3606v1