Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation

Details Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation

2008-12-18

arxiv.org/abs/0812.3606v1

Mathematics

Analysis of PDEs

25 pages, 1 figure

Scientific paper

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.

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