## On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations

- Xavier Antoine, Qinglin Tang, Jiwei Zhang
- Int. J. Comput. Math.
- 2018

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@article{Bao2011NumericalMF, title={Numerical methods for computing ground states and dynamics of nonlinear relativistic Hartree equation for boson stars}, author={Weizhu Bao and Xuanchun Dong}, journal={J. Comput. Physics}, year={2011}, volume={230}, pages={5449-5469} }

- Published in J. Comput. Physics 2011
DOI:10.1016/j.jcp.2011.03.051

Efficient and accurate numerical methods are presented for computing ground states and dynamics of the three-dimensional (3D) nonlinear relativistic Hartree equation both without and with an external potential. This equation was derived recently for describing the mean field dynamics of boson stars. In its numerics, due to the appearance of pseudodifferential operator which is defined in phase space via symbol, spectral method is more suitable for the discretization in space than other… CONTINUE READING

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