Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Computing the least action ground state of the nonlinear Schr\"odinger
  equation by a normalized gradient flow   In this paper, we generalize the normalized gradient flow method which is
first applied to computing the least energy ground state to compute the least
action ground state. A continuous normalized gradient flow (CNGF) will be
presented and the action decreasing property will be proved to provide a
mathematical justification of the gradient flow with discrete normalization
(GFDN). Then we use backward-forward Euler method to further discretize the
GFDN in time which leads to the GFDN-BF scheme. We compare it with other three
schemes which are modified from corresponding ones designed for the least
energy ground state and the numerical results show that the GFDN-BF scheme
performs much better than the others in accuracy, efficiency and robustness for
large time steps. Extensive numerical results of least action ground states for
several types of potentials are provided. We also use our numerical results to
verify some existing results and lead to some conjectures.

17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph