@Article{AAMM-13-1, author = {Wang, Lan and Wenjun, Cai and Yushun, Wang}, title = {An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2021}, volume = {13}, number = {1}, pages = {203--231}, abstract = {

An energy-preserving scheme is proposed for the coupled Gross-Pitaevskii equations.  The scheme is constructed by high order compact method in the spatial direction and average vector field method in the temporal direction, respectively. The scheme is energy-preserving, stable, and of sixth order in space and of second order in time. Numerical experiments verify the theoretical results. The dynamic behavior modeled by the coupled Gross-Pitaevskii equations is also numerically investigated.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2019-0308}, url = {https://global-sci.com/article/72964/an-energy-preserving-scheme-for-the-coupled-gross-pitaevskii-equations} }