Walter H. Aschbacher
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.
Submitted September 26, 2008. Published January 12, 2009.
Math Subject Classifications: 35Q40, 35Q35, 35J60, 65M60, 65N30.
Key Words: Hartree equation; quantum many-body system;
weakly nonlinear dispersive waves; Newtonian gravity;
Galerkin theory; finite element methods;
discretization accuracy.
Show me the PDF file (374 KB), TEX file, and other files for this article.
Walter H. Aschbacher Technische Universität München Zentrum Mathematik, M5 85747 Garching, Germany email: aschbacher@ma.tum.de |
Return to the EJDE web page