Geodesic
Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation
Electronic Journal of Differential Equations, Tome 2009 (2009).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35Q40, 35Q35, 35J60, 65M60, 65N30
Keywords: Hartree equation, quantum many-body system, weakly nonlinear dispersive waves, Newtonian gravity, Galerkin theory, finite element methods, discretization accuracy 
@article{EJDE_2009__2009__a95,
     author = {Aschbacher, Walter H.},
     title = {Fully discrete {Galerkin} schemes for the nonlinear and nonlocal {Hartree} equation},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2009},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a95/}
}
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Aschbacher, Walter H. Fully discrete Galerkin schemes for the nonlinear and nonlocal Hartree equation. Electronic Journal of Differential Equations, Tome 2009 (2009). http://geodesic.mathdoc.fr/item/EJDE_2009__2009__a95/