Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation

Walter H. Aschbacher

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arXiv · 0812.3606

Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation

Walter H. Aschbacher

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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.

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Walter H. Aschbacher. 2008-12-18. Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation. https://arxiv.org/abs/0812.3606

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