A Numerical Method for Computing the Ground State of the Modified Gross-Pitaevskii Equation

Ching-Sung Liu

Department of Applied Mathematics, National University of Kaohsiung

In this talk, we will introduce the modified Gross-Pitaevskii equation for modeling the Bose-Einstein condensate with a higher order interaction. We will discuss its numerical method and some numerical results. A great advantage of this method is that it converges quadratically and is positivity preserving in the sense that the vectors approximating the ground state vector are strictly positive in each iteration.

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