Quantized vortex, a signature of superfluidity,
was observed in superconductors an half of a century ago,
and more recently, it has been observed in the Bose-Einstein
condensates.
In this talk, we will discuss algorithms for numerically
solving the Gross-Pitaevskii models, a kind of nonlinear
Schrodinger equations. We will also present numerical
simulations of quantized vortices based on recent physical
experiments.
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