Shi-Xin Zheng

Global convergence of an efficient splitting method for the defocusing Gross--Pitaevskii ground state problem

For computing the ground state of the defocusing Gross--Pitaevskii energy, we propose and analyze two efficient schemes based on the Davis--Yin three-operator splitting, which treats the potential and interaction terms explicitly, and the kinetic energy by a resolvent. One iteration costs one inversion of $I-\gamma\Del...