Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Comparison of Splitting methods for Gross-Pitaevskii Equation   In this paper, we discuss the different splitting approaches to solve the
Gross-Pitaevskii equation numerically. We consider conservative
finite-difference schemes and spectral methods for the spatial discretisation.
Further, we apply implicit or explicit time-integrators and combine such
schemes with different splitting approaches. The numerical solutions are
compared based on the conservation of the $L_2$-norm with the analytical
solutions. The advantages of the splitting methods for large time-domains are
presented in several numerical examples of different solitons applications.

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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: acc-phys
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The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph