  Using analytic and numerical techniques Nielsen-Olesen vortices, which in the
context of Ginzburg-Landau theory are known as Abrikosov vortices of type-II
superconductors, are studied for large Ginzburg-Landau parameter $\lambda$. We
show that their energy is equal to $(\pi n^2 /2)\log\lambda$ to leading order,
where $n$ is the winding number of the vortex, and find that the limit of the
gauge field can be expressed in terms of the modified Bessel function $K_1$.
The leading terms of the asymptotic expansion of the solution are given, and
the different contributions to the energy are analyzed.
