Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation
Analysis of PDEs
2008-12-19 v1 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.0812.3606,
title = {Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation},
author = {Walter H. Aschbacher},
journal= {arXiv preprint arXiv:0812.3606},
year = {2008}
}
Comments
25 pages, 1 figure